## Web Access Research Portal

# Researcher: Delbourgo, R (Professor Robert Delbourgo)

## Fields of Research

Particle Physics

Physical Sciences

Mathematical Aspects of General Relativity

Field Theory and String Theory

Nuclear Physics

Galactic Astronomy

Electronic and Magnetic Properties of Condensed Matter; Superconductivity

Biological Physics

Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory

Classical Physics

## Research Objectives

Expanding Knowledge in the Physical Sciences

Expanding Knowledge in the Mathematical Sciences

## Career Best Publications

## Research Publications

π^{0} → 2γ without colour; **Journal of Physics G: Nuclear Physics**

3-point off-shell vertex in scalar QED in arbitrary gauge and dimension; **Physical Review D**

dominance of the *f*_{0}(980) meson; **Physics Letters B**

A Critique of the Gauge Technique; **Australian Journal of Physics**

A dimensional derivation of the gravitational PCAC correction; **Journal of Physics A: General Physics**

A dual BRS invariance for gravity?; **Journal of Physics G-Nuclear and Particle Physics**

A gauge covariant approximation to quantum electrodynamics; **Journal of Physics A: General Physics**

A generalised Baker-Campbell-Hausdorff formula with application to coset space parameterisation; **Physics Letters A**

A geometrical angle of Feynman integrals; **Journal of Mathematical Physics**

A superpropagator for gravitons; **Lettere al Nuovo Cimento**

A supersymmetric Stuckelberg formalism; **Journal of Physics G: Nuclear Physics**

Amplitude analysis of hadron decays; **Physical Review D**

Analytic regularization and infrared divergences; **Journal of Physics G: Nuclear and Particle Physics**

Anharmonic Grassmann oscillator; **Physical Review D**

Anharmonic Grassmann oscillator II; **Physical Review D**

Anomalies via dimensional regularization; **Nuovo Cimento A**

Anomalies, dimensional regularization, and the heat kernel; **Physical Review D**

Axial anomalies by dimensional reduction; **Journal of Physics G: Nuclear Physics**

Axial anomalies in higher dimensions by dimensional continuation; **Journal of Physics G: Nuclear Physics**

Axially gauge-covariant electrodynamics; **Journal of Physics A: General Physics**

Becchi-Rouet-Stora gauge identities for gravity; **Nuclear Physics Section B**

Born reciprocity and the 1/r potential; **Foundations of Physics**

Bubble graph sums in superfield theories; **Lettere al Nuovo Cimento**

Characteristic features of vector chaos; **Australian Journal of Physics**

Chiral and gravitational anomalies in any dimension; **Journal of Mathematical Physics**

Chiral anomalies, nonminimal couplings, and Kaluza-Klein theory; **Physical Review D**

Compton scattering vertex for massive scalar QED; **Physical Review D**

Constituent quark masses and the electroweak standard model; **Journal of Physics G: Nuclear and Particle Physics**

Constrained O(*n*) models from gauged internal OSp(^{n}/_{2}) via Becchi-Rouet-Stora supersymmetry; **Physical Review D**

Covariance, correlation and entanglement; **Journal of Physics A-Mathematical and General**

Covariant supermultiplet theory, the Zweig rule and the ψ particles; **Physics Letters B**

Dependence of the universal constants on the nature of the maximum of the mapping function; **Australian Journal of Physics**

Dependence of universal constants upon multiplication period in nonlinear maps; **Physical Review A**

Differential cross-sections for charge exchange: reactions with *t*-dependent residues; **Nuovo Cimento A**

Dimensional continuation for bound state problems; **Journal of Physics A: Mathematical and General**

Dimensional Odd-ities; **A Conference in Celebration of the 70th Years of H.S. Green and C.A. Hurst**

Dimensional reduction and axial anomalies; **Journal of Physics G: Nuclear Physics**

Dimensional regularization and PCAC; **Nuovo Cimento A**

Dimensional Regularization and the Linear Sigma Model; **IXth Workshop on High Energy Physics and Quantum Field Theory**

Dimensional regularization for weak interactions; **Nuovo Cimento A**

Dimensional regularization in Chern-Simons theory; **Physics Letters, Section B**

Dimensional regularization, abnormal amplitudes and anomalies; **Nuovo Cimento A**

Dimensional renormalization in phi(3) theory: Ladders and rainbows; **Physical Review D**

Dimensional renormalization: Ladders and rainbows; **Physical Review D**

Does nature have hidden anticommuting coordinates?,; **Australian Physicist**

Duality diagrams and the pomeron; **Nuovo Cimento A**

Dynamic chiral breaking in (2+1)-dimensional QED; **Europhysics Letters**

Dynamical breaking and the electroweak model; **Journal of Physics G: Nuclear Physics**

Dynamical generation of linear sigma model SU(3) Lagrangian and meson nonet mixing; **International Journal of Modern Physics A**

Dynamical Generation of the Gauged SU(2) Linear Sigma Model; **Modern Physics Letters A**

Dynamical symmetry breaking and the sigma-meson mass in quantum chromodynamics; **Physical Review Letters**

Dynamically broken chiral symmetry and the gauge technique; **Journal of Physics G: Nuclear Physics**

Electromagnetic and Gravitational Decay of the Higgs Boson; **Australian Journal of Physics**

Electromagnetic properties of hadrons via the u-d mass difference and direct photon exchange; **Physical Review D**

Equivalence between the Fock-Schwinger Gauge and the Feynman Gauge; **Journal of Modern Physics**

Evanescent interactions are not renormalizable; **Journal of Physics A: Mathematical and General**

Exotic Gauge Potential Representations and Ghost Counting Via Orthosymplectic Brs Supersymmetry; **Journal of Physics A: Mathematical and General**

Explicitly symmetrical treatment of three-body phase space; **Journal of Physics A-Mathematical and General**

Extended Becchi-Rouet-Stora invariance for gravity via local OSp(^{4}/_{2}) supersymmetry; **Physical Review D**

Extended BRS invariance and OSp (4/2) supersymmetry; **Journal of Physics A: General Physics**

Fermi-Dirac equations; **Australian Journal of Physics**

Fermionic dimensions and Kaluza-Klein theory; **Physics Letters B**

Flavour mixing and mass matrices via anticommuting properties; **Journal of Physics A: Mathematical and General**

Four dimensions: more or less?; **The Physicist**

Fractal dimension associated with a critical circle map with an arbitrary-order inflection point; **Physical Review A**

Gauge covariance and the gauge technique; **Journal of Physics A: Mathematical and General**

Gauge covariant approximations in scalar electrodynamics; **Journal of Physics A: General Physics**

Gauge fixing of stringlike models via OSp(D/2); **Modern Physics Letters A**

Gauge technique for heavy quarks; **Physical Review D**

General relativity for *N* properties; **Modern Physics Letters A**

Geometrical Approach to the Evaluation of Multileg Feynman Diagrams; **Acta Physica Polonica B**

Graeme Reade Anthony ('Bill') Ellis 1921-2011; **Historical Records of Australian Science**

Grand unification and Grassmannian Kaluza-Klein theory; **Modern Physics Letters A**

Grassmann coordinates and Lie algebras for unified models; **Journal of Mathematical Physics**

Grassmann coordinates for particle classification; **Modern Physics Letters A**

Grassmann wave-functions and intrinsic spin; **International Journal of Modern Physics A**

Grassmannian duality and the particle spectrum; **International Journal of Modern Physics A**

Grassmannian Kaluza-Klein theory and the standard model; **Physical Review D**

Gravitational contribution to the chiral anomaly in higher dimensions; **Physics Letters B**

Gravitational counterterms and Becchi-Rouet-Stora symmetry; **Physical Review D**

Heavy Meson Decays into Light Resonances; **Physical Review D**

Heavy quark supermultiplet excitations; **Physical Review D**

How to deal with infinite integrals in quantum field theory; **Reports on Progress in Physics**

Induced parity violation in odd dimensions; **Australian Journal of Physics**

Infrared behaviour of a gauge covariant approximation; **Physics Letters B**

Integrity bases for local invariants of composite quantum systems; **Journal of Physics A: Mathematical and General**

Internal Grassmann coordinates and actions; **Modern Physics Letters A**

Inverse momentum expectation values for hydrogenic systems; **Journal of Mathematical Physics**

Islands of stability and complex universality relations; **Journal of Mathematical Physics**

Lepton distribution in rare B decays; **Physical Review D**

Lepton Polarization Asymmetry in Rare *B* Decays; **Physical Review D**

Local OSp(4/2) supersymmetry and extended BRS transformations for gravity; **Physics Letters B**

Massive Yang-Mills theory - Renormalizability versus unitarity; **International Journal of Modern Physics A**

Massive, unitary, renormalizable Yang-Mills theory without Higgs bosons; **Physical Review Letters**

MathBase, a software package of Special Mathematical Functions

Matrix and tensor constructions from a generic SU(n) vector; **Journal of Physics A: General Physics**

Matrix representation of octonions and generalizations; **Journal of Mathematical Physics**

Matter field infinities in axial gauge gravity; **Journal of Physics A: Mathematical and General**

Matter fields and fermions in OSp(^{4}/_{2}) by dimensional reduction via supercoset space; **Physics Letters B**

Meson *PVV* Interations are Determined by Quark Loops; **International Journal of Modern Physics A**

Meson Supermultiplet Decay Constants; **Australian Journal of Physics**

Minimal Uncertainty States for Quantum Groups; **Journal of Physics A: Mathematical and General**

Minimal uncertainty states for rotation and allied groups; **Journal of Physics A: Mathematical and General**

Models for Fermion Generations Based on 5 Fermionic Coordinates; **Australian Journal of Physics**

Models for supersymmetric quantum-mechanics; **Australian Journal of Physics**

Morphology of the period-doubling universal function; **Journal of Mathematical Physics**

Morphology of the universal function for the critical circle map; **The Australian Mathematical Society Gazette**

Multidimensional phase space and sunset diagrams; **Journal of Mathematical Physics**

Neutrino masses in a Grassmannian Su(5) model; **International Journal of Modern Physics A**

Nonleptonic decays of supermultiplets; **Symmetries in Subatomic Physics, 3rd International Symposium**

Nonleptonic Decays: Amplitude Analysis and Supermultiplet Schemes; **Nonperturbative Methods in Quantum Field Theory**

Nonleptonic weak interactions: Amaplitude analysis and supermultiplet schemes; **Workshop on nonperturbative methods in Quantum Field Theory**

Nonperturbative behavior in 3-dimensional QED; **International Journal of Modern Physics A**

Nonperturbative characteristics of Green functions; **Nuclear Physics B Proceedings Supplements**

Nonpolynomial Lagrangians with isospin; **Journal of Mathematical Physics**

Observations of Bifurcation and Chaos in Plant Physiological Responses to Light; **Australian Journal of Plant Physiology**

Off-shell green functions: One-loop with growing legs; **American Institute of Physics (AIP) Conference**

On 2D periodic hexagonal cells

On 2D periodic hexagonal cells; **AAPPS Bulletin**

On gauge invariant green functions; **Modern Physics Letters A**

ON matrix superpropagators I; **Journal of Mathematical Physics**

ON matrix superpropagators II; **Journal of Mathematical Physics**

On Nonleptonic Decays of Supermultiplets; **Australian Journal of Physics**

On parametric and dispersive integrals; **Australian Journal of Physics**

On the Amelioration of Quadratic Divergences; **Modern Physics Letters A**

On the approximate evaluation of Hadamard finite-part integrals; **IMA Journal of Numerical Analysis**

On the elastic Schwarzschild scattering cross section; **Journal of Physics A: Mathematical, Nuclear and General**

On the gauge dependence of spectral functions; **Journal of Physics A: Mathematical and General**

On the linear potential hill; **American Journal of Physics**

On the two-point Green function in QED; **Journal of Physics: Conference Series (Online) **

One-Loop Effective Multigluon Lagrangian in Arbitrary Dimensions; **International Journal of Modern Physics A**

One-loop equivalent gauges; **Lettere Al Nuovo Cimento Series 2**

Proof of the Nambu-Goldstone realisation for vector-gluon-quark theories; **Journal of Physics G: Nuclear Physics**

Propagator products in arbitrary dimensions; **Nuovo Cimento A**

Properties, generations and masses

Property Values; **International Journal of Modern Physics A**

Property Values; **The Proceedings of the Festschrift in Honor of Bruce JH McKellar and Girish C Joshi**

Quantised gauge theory, dimensional reduction and OSp(4+NM/2) supersymmetry; **Journal of Physics A: Mathematical and General**

Quantum corrections in Kaluza-Klein theory; **Il Nuovo Cimento A Series 11**

Radiative corrections to the electron-graviton vertex; **Lettere al Nuovo Cimento**

Radiative corrections to the photon-graviton vertex; **Physics Letters B**

Regge residues and supermultiplets; **Physics Letters B**

Regularizing the quark-level linear sigma-model; **Modern Physics Letters A**

Relations between universal scaling constants; **The Fourth Physics Summer School: Nonlinear Dynamics and Chaos**

Relations between universal scaling constants for the circle map near the golden mean; **Journal of Mathematical Physics**

Relativistic phase space: dimensional recurrences; **Journal of Physics A: Mathematical and General**

Renormalization constants in the axial gauge; **Lettere Al Nuovo Cimento Series 2**

Renormalization of a weak-interaction model; **Nuovo Cimento A**

Renormalization of rational Lagrangians; **Annals of Physics**

Scalar multiplets and asymptotic freedom; **Nuovo Cimento A**

Scaling anomalies in Kaluza-Klein theory; **Modern Physics Letters A**

Schizosymmetry - A new paradigm for superfield expansions; **Modern Physics Letters A**

Self-consistent nonperturbative anomalous dimensions; **Journal of Physics A: Mathematical and General**

Solution of the gauge identities in the axial gauge; **Journal of Physics A: General Physics**

Solving the gauge Identities; **Journal of Physics A: Mathematical and General**

Sp(2) Invariant BRST formalism, Supersymmetry and Wess-Zumino gauges; **Modern Physics Letters A**

Spinor interactions in the two-dimensional limit; **Nuovo Cimento A**

Square Root of the Harmonic Oscillator; **Physical Review A**

Strong and Electromagnetic Interactions of Heavy Baryons; **Physical Review D**

SU(6) and chiral SU(3) symmetry breaking; **Journal of Physics A: Mathematical, Nuclear and General**

Super-symmetric V-A gauges and fermion number; **Physics Letters B**

Superfield perturbation theory and renormalization; **Nuovo Cimento A**

Supergauge theories and dimensional regularization; **Nuclear Physics Section B**

Supersymmetry in the four-dimensional limit; **Journal of Physics G: Nuclear Physics**

TeV physics and beyond: Proceedings of the VIIIth Summer School in Nuclear and Particle Physics, Launceston, Tasmania, 2-6 February, 1987; **TeV physics and beyond**

The axial gauge for gravity; **Journal of Physics A: Mathematical and General**

The Bethe-Salpeter equation in superfield theory; **Journal of Physics G: Nuclear Physics**

The chiral anomaly in a curved space of arbitrary dimensions; **Il Nuovo Cimento B Series 11**

The Flavor of Gravity; **Particles and Fields**

The flavour of gravity; **Journal of Physics A: Mathematical and General**

The Floating Plank; **American Journal of Physics**

The force and gravity of events; **Modern Physics Letters A**

The gauge technique; **Il Nuovo Cimento A**

The gauge technique and Thirring models; **Journal of Physics G: Nuclear Physics**

The gauge technique for massive electrodynamics; **Journal of Physics G: Nuclear Physics**

The gauge technique for two-dimensional electrodynamics; **Journal of Physics G: Nuclear Physics**

The general relativity of two properties; **International Journal of Modern Physics A**

The gluon propagator; **Journal of Physics G: Nuclear Physics**

The Grassmann Euclidean Group Sp(2) Or T(2) and its representations; **Journal of Physics A-Mathematical and General**

The gravitational correction to PCAC; **Physics Letters B**

The Low Energy Effective Lagrangian for Photon Interactions in Any Dimension; **International Journal of Modern Physics A**

The Nobel Prize in Physics 1999; **The Physicist**

The nonperturbative propagator and vertex in massless quenched QED(d); **Journal of Physics A-Mathematical and General**

The quark-level linear *σ* model; **Fortschritte der Physik**

The relativity of chiral property; **International Journal of Modern Physics A**

The relativity of color; **International Journal of Modern Physics A**

The relativity of space-time-property; **International Journal of Modern Physics A**

The s-d transition element and the Δ*I* = 1/2 rule; **Lettere Al Nuovo Cimento**

The state of theoretical physics ln Australia; **The Physicist**

The Stueckelberg formalism for spin two; **Lettere al Nuovo Cimento**

The three photon vertex; **Journal of Physics G: Nuclear and Particle Physics**

Three body phase space: Symmetrical treatments; **15th Biennial Congress of the Australian Institute of Physics**

Three-body phase space: symmetrical treatments; **Australian Institute of Physics Congress 2002**

Transverse vertices in electrodynamics and the gauge technique; **Journal of Physics A: Mathematical and General**

U(1) gap equation and consistency condition in quantum chromodynamics; **Physical Review D**

Unified models based on Grassman coordinates; **Conference on Highlights of Particle and Condensed Matter Physics**

Universal features of tangent bifurcation; **Australian Journal of Physics**

Universality relations; **Physical Review A**

Unknotting the Polarized Vacuum of Quenched QED; **Physics Letters B**

Using the Hopf algebra structure of QFT in calculations; **Physical Review D**

Veneziano model for the scattering of meson and baryon supermultiplets; **Nuovo Cimento A**

Where-when-what: the general relativity of space-time-property; **International Journal of Modern Physics A**

Why three generations?; **The 16th AIP Congress 2005**

Why Three Generations?; **AIP 16th National Congress 2005**

## Research Projects

Algebraic Aspects of Renormalization; **Australian Research Council (ARC)**

Gauge theories and Supermultiplets; **Australian Research Council (ARC)**

Geometrical and Topological Properties of Multiloop Feynman Diagrams; **Australian Research Council (ARC)**

Geometry and Topology of Feynman Integrals; **University of Tasmania (UTAS)**

Grassmann variables and unified models; **Australian Research Council (ARC)**

Nonleptonic decays of supermultiplets; **Australian Research Council (ARC)**

Supplementary funding; **University of Tasmania (UTAS)**

Weak decays of heavy particles; **Australian Research Council (ARC)**

## Research Candidate Supervision

A Modern Approach to Born Reciprocity

Chaos in KdV-like equations

Entanglement and the Quantum-classical Transition

Entanglement, Invariants, and Phylogenetics

Grassmann variables in Particle Physics.

Multidimensional Phase Space

Nonlinear Superalgebras and Lattice Gauge Theory

On Group Invariant Solutions to the Maxwell Dirac Equations

The fock-schwinger gauge

The SuperHiggs Mechanism for Anticommuting Coordinates

Theoretical Physics

Title- Gauge Theories in Three Dimensions

Universal Couplings in two body stong and electromagnetic Meson decays