Profiles
Dr James Edwards
Lecturer in Applied Mathematics/Theoretical Physics
School of Engineering, Computing and Mathematics (Faculty of Science and Engineering)
Biography
Biography
Research interests:
- Quantum Field Theory - The "Worldline Formalism" of QFT
- QFT in electromagnetic and gravitational backgrounds - Strong Field QED
- Non-perturbative aspects of QFT - especially its gauge structure
- Numerical (Monte-Carlo) simulations of field theory processes
- New analytic and numerical methods in path integration.
Prior appointments:
- 2018-2022: Assistant Professor ("Profesor Titular A") - Instituto de Física y Matemáticas
Universidad Michoacana de San Nicolás de Hidalgo - 2016-2018: Postdoctoral Fellow ("Becario") - CONACyT
Instituto de Física y Matemáticas
Universidad Michoacana de San Nicolás de Hidalgo - 2015-2016: Researcher and Teaching Fellow
Mathematical Sciences
University of Bath
Qualifications
Academic background:
- Ph.D. - Durham University:
Elementary Particle Theory (CPT group)
Thesis: Contact interactions between point particles and strings
Advisor: Prof. Paul Mansfield
- M.Sci. - University of Cambridge
Masters dissertation: The conditional probability interpretation of the Hamiltonian constraint
Advisor: Prof. Steve Gull
- B.A. (Hons.) - University of Cambridge
Mathematics with Physics
Winner of Duncan Bruce Memorial Prize in Physics
Professional membership
- FHEA - Fellow of the Higher Education Academy (now Advance HE)
- MInstP - Member of the Institute of Physics
- Individual Member of the sigma Network
- Member of Red-FAE (Mexican Network in High Energy Physics)
- Member of SMF (Mexican Physics Society) in the Division for Particles and Field ("DPyC")
Roles on external bodies
- Member of the LUXE collaboration (see collaborating institutes)
Key publications
(2021) 'Generalized Landau-Khalatnikov-Fradkin transformations for arbitrary
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-point fermion correlators' Physical Review D 104, (2) , DOI
(2020) 'Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes' Journal of High Energy Physics 2020, (8) , DOI
(2022) 'Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes' Journal of High Energy Physics 2022, (1) , DOI
(2015) 'Spinning Particles in Quantum Mechanics and Quantum Field Theory'
(2019) Quantum mechanical path integrals in the first quantised approach to
quantum field theory.
Teaching
Teaching
Teaching interests
Current courses:
- 2022: Ordinary Differential Equations (MATH2603) - University of Plymouth
Previous courses:
- 2022: Advanced Aspects of Quantum Field Theory - Universidad Michoacana
- 2020-2021: Worldline Formalism of Quantum Field Theory - Universidad Michoacana
- 2020: Quantum Field Theory II - Universidad Michoacana
- 2020: Introduction to Quantum Field Theory - Universidad Michoacana
- 2020-2021: Mathematical Methods - Universidad Michoacana
- 2019: String Theory and Amplitudes - Universidad Michoacana
- 2018-2019: Quantum Mechanics I - Universidad Michoacana
- 2018: Lie Group Theory for Physicists - Universidad Michoacana
- 2017: Thermodynamics - Universidad Michoacana
- 2017: Applications of the worldline formalism in quantum field theory - Universidad Michoacana
- 2015-2016: Mathematical Methods - University of Bath
- 2015-2016: Mathematical Analysis II - University of Bath
- 2015: Calculus for Engineers - University of Bath
Awards and recognition for teaching:
- 2016: Departmental Teaching Recognition Award - University of Bath
- 2015: Best student employee of the Year - Mathlab mathematics drop-in - Durham University
- 2015: Outstanding Support Award - Durham University
Students graduated under my supervision:
- 2022: Ivan Ahumada - M.Sci. Worldline Monte Carlo - approaching the problem of oversampling
- 2022: Luis Chacon - M.Sci. Light by light scattering at one-loop order in scalar QED
Now Ph.D. University of Cyprus - 2021: Alejandro Mora - M.Sci. Photon scattering: gauge invariant amplitudes
Now Ph.D. UNAM - 2020: Jose Nicasio - M.Sci.Generalisation of the LKF transformations in the worldline formalism
Now Ph.D. Universidad Michoacana - 2019: Cesar Mata - M.Sci, Multi-photon amplitudes
Now Ph.D. Universidad Michoacana - 2019: Isai Farias - M.Sci. Effective action for an arbitrary Maxwell field interacting with a quantum field
- 2019: Carlos Servin - M.Sci. A spin-orbit decomposition for photon amplitudes
- 2017: Maria Anabel Trejo - Ph.D. Bound states in the worldline formalism
Now Postdoc Helmholtz-Zentrum Dresden-Rossendorf - 2016: Matt Griffith - M.Sci. Planetary motion in Einstein's theory of general relativity
Now Postdoc University of Bath
Staff serving as external examiners
Current and past participation in examination committees:
- 2022: Maurizio Muratori - Ph.D. Università di Modena e Reggio Emilia
- 2022: Lucas Manzo - Ph.D. Universidad Nacional de La Plata
- 2020: Luis Torres - M.Sci. Universidad Michoacana de San Nicolás de Hidalgo
- 2019: Cesar Mata - M.Sci. Universidad Michoacana de San Nicolás de Hidalgo
- 2019: Guillermo Gonzalez - M.Sci. Universidad Michoacana de San Nicolás de Hidalgo
- 2018: Victor Guzman - Ph.D. Universidad Autonoma de San Luis Potosi
- 2018: Misha Lopez - M.Sci. Universidad Michoacana de San Nicolás de Hidalgo
- 2016: Benjamin Jackson - M.Sci. University of Bath
Research
Research
Research interests
Research themes:
For reviews see:
- JPE and C. Schubert Quantum mechanical path integrals in the first quantised approach to quantum field theory[arXiv:1912.10004 [hep-th]]
- C. Schubert Perturbative Quantum Field Theory in the String-Inspired Formalism[arXiv:0101036 [hep-th]]
For introductory treatments see:
- O. Corradini, C. Schubert, JPE and N. Ahmadiniaz Spinning Particles in Quantum Mechanics and Quantum Field Theory[arXiv:1512.08694 [hep-th]]
- M. J. Strassler Field Theory Without Feynman Diagrams: One-Loop Effective Actions[arXiv:9205205 [hep-ph]]
Research degrees awarded to supervised students
Grants & contracts
Currently open grants:
- "Ciencia de Fronteras" (Frontier Science) national grant awarded by CONACyT - project No. 170725 New analytic methods for path integration ("Nuevos métodos analíticos para integrales de camino")In collaboration with Dr. Idrish Huet and Dr. Adnan Bashir
SNI Member (Level I) - "Sistema nacional de investigadores" (to 2022)
Prior grants (now closed):
- Royal Society - Newton Mobility Grant New contributions for quantum electrodynamics in background fieldsIn collaboration with Dr. Anton Ilderton
Publications
Publications
Key publications
(2021) 'Generalized Landau-Khalatnikov-Fradkin transformations for arbitrary
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-point fermion correlators' Physical Review D 104, (2) , DOI
(2020) 'Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes' Journal of High Energy Physics 2020, (8) , DOI
(2022) 'Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes' Journal of High Energy Physics 2022, (1) , DOI
(2015) 'Spinning Particles in Quantum Mechanics and Quantum Field Theory'
(2019) Quantum mechanical path integrals in the first quantised approach to
quantum field theory.
Key publications are highlighted
Journals
Articles
(2022) 'Resummation for quantum propagators in bounded spaces' Physical Review E 105, (6) , DOI Open access
(2022) 'Generalized LKF Transformations for $$\boldsymbol{N}$$-Point Fermion Correlators in QED' Moscow University Physics Bulletin 77, (2) 466-469 , DOI
(2022) 'Obtaining Fully Polarized Amplitudes in Gauge Invariant Form' Moscow University Physics Bulletin 77, (2) 442-445 , DOI
(2022) 'Plane Wave Backgrounds in the Worldline Formalism' Journal of Physics: Conference Series 2249, (1) 012019-012019 , DOI
(2022) 'Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes' Journal of High Energy Physics 2022, (1) , DOI
(2021) 'Generalized Landau-Khalatnikov-Fradkin transformations for arbitrary
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>
-point fermion correlators' Physical Review D 104, (2) , DOI
(2021) 'New Techniques for Worldline Integration' Symmetry, Integrability and Geometry: Methods and Applications , DOI
(2021) 'Resummation of background-collinear corrections in strong field QED' Physical Review D 103, (1) , DOI Open access
(2020) 'Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes' Journal of High Energy Physics 2020, (8) , DOI
(2019) 'Applications of the worldline Monte Carlo formalism in quantum mechanics' Annals of Physics 411, 167966-167966 , DOI
(2019) 'Worldline formalism for a confined scalar field' Journal of High Energy Physics 2019, (8) , DOI
(2019) 'Reducible contributions to quantum electrodynamics in external fields' Journal of High Energy Physics , DOI Open access
(2019) 'Massless Rarita–Schwinger field from a divergenceless antisymmetric tensor-spinor of pure spin-3/2' International Journal of Modern Physics A 34, (11) 1950060-1950060 , DOI
(2019) 'U(N) Yang-Mills in non-commutative space time' Journal of High Energy Physics 2019, (4) , DOI
(2018) 'On the low-energy limit of the QED N-photon amplitudes: part 2' Nuclear Physics B 935, 198-209 , DOI
(2018) 'Integral transforms of the quantum mechanical path integral: Hit function and path-averaged potential' Physical Review E 97, (4) , DOI
(2018) 'Worldline colour fields and non-Abelian quantum field theory' EPJ Web of Conferences 182, 02038-02038 , DOI
(2017) 'One-particle reducible contribution to the one-loop spinor propagator in a constant field' Nuclear Physics B 924, 377-386 , DOI
(2017) 'One-particle reducible contribution to the one-loop scalar propagator in a constant field' Nuclear Physics B 923, 339-349 , DOI
(2017) 'The Yukawa potential: ground state energy and critical screening' Progress of Theoretical and Experimental Physics 2017, (8) , DOI
(2017) 'Velocity-Based Terrain Coefficients for Time-Based Models of Human Movement' Internet Archaeology (45) , DOI
(2016) 'Mixed symmetry Wilson-loop interactions in the worldline formalism' Journal of High Energy Physics 2016, (9) , DOI
(2016) 'Mixed symmetry tensors in the worldline formalism' Journal of High Energy Physics 2016, (5) , DOI
(2016) 'Contact interactions between particle worldlines' Journal of High Energy Physics 2016, (1) , DOI
(2015) 'QED as the tensionless limit of the spinning string with contact interaction' Physics Letters B 746, 335-340 , DOI
(2015) 'Delta-function interactions for the bosonic and spinning strings and the generation of Abelian gauge theory' Journal of High Energy Physics 2015, (1) , DOI
(2013) 'Coherent Spin Control by Electrical Manipulation of the Magnetic Anisotropy' Physical Review Letters 110, (2) , DOI
Conference Papers
(2022) 'Summing Feynman diagrams in the worldline formalism' Loops and Legs in Quantum Field Theory 4-/-0/2022Sissa Medialab , DOI Open access
(2021) 'REDUCIBLE CONTRIBUTIONS TO QED IN EXTERNAL ELECTROMAGNETIC FIELDS' Nineteenth Lomonosov Conference on Elementary Particle Physics WORLD SCIENTIFIC , DOI
(2015) 'Spinning Particles in Quantum Mechanics and Quantum Field Theory'
Reports
(2019) Quantum mechanical path integrals in the first quantised approach to
quantum field theory.