Dr James Edwards
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:

  • M.Sci. - University of Cambridge
    Masters dissertation: The conditional probability interpretation of the Hamiltonian constraint
    Advisor: Prof. Steve Gull

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

Key publications

Edwards JP & Schubert C (2021) 'N-photon amplitudes in a plane-wave background' Physics Letters B 822, 136696-136696 , DOI
Ahmadiniaz N, Edwards JP, Nicasio J & Schubert C (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
Ahmadiniaz N, Guzmán VMB, Bastianelli F, Corradini O, Edwards JP & Schubert C (2020) 'Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes' Journal of High Energy Physics 2020, (8) , DOI
Ahmadiniaz N, Guzmán VMB, Bastianelli F, Corradini O, Edwards JP & Schubert C (2022) 'Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes' Journal of High Energy Physics 2022, (1) , DOI
Corradini O, Schubert C, Edwards JP & Ahmadiniaz N (2015) 'Spinning Particles in Quantum Mechanics and Quantum Field Theory'
Edwards JP & Schubert C (2019) Quantum mechanical path integrals in the first quantised approach to quantum field theory. Author Site
View all publications
Teaching

Teaching

Teaching interests

Current courses:

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

My research papers can be found on the arXiv or through iNSPIRE HEP.

Research themes:
  • 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.
  • For reviews see:

    For introductory treatments see:

    Research degrees awarded to supervised students

  • 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
  • 2021: Alejandro Mora - M.Sci. Photon scattering: gauge invariant amplitudes
  • 2020: Jose Nicasio - M.Sci.Generalisation of the LKF transformations in the worldline formalism
  • 2019: Cesar Mata - M.Sci, Multi-photon amplitudes
  • 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
  • 2016: Matt Griffith - M.Sci. Planetary motion in Einstein's theory of general relativity
  • 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):
    Publications

    Publications

    Key publications

    Edwards JP & Schubert C (2021) 'N-photon amplitudes in a plane-wave background' Physics Letters B 822, 136696-136696 , DOI
    Ahmadiniaz N, Edwards JP, Nicasio J & Schubert C (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
    Ahmadiniaz N, Guzmán VMB, Bastianelli F, Corradini O, Edwards JP & Schubert C (2020) 'Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes' Journal of High Energy Physics 2020, (8) , DOI
    Ahmadiniaz N, Guzmán VMB, Bastianelli F, Corradini O, Edwards JP & Schubert C (2022) 'Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes' Journal of High Energy Physics 2022, (1) , DOI
    Corradini O, Schubert C, Edwards JP & Ahmadiniaz N (2015) 'Spinning Particles in Quantum Mechanics and Quantum Field Theory'
    Edwards JP & Schubert C (2019) Quantum mechanical path integrals in the first quantised approach to quantum field theory. Author Site

    Key publications are highlighted

    Journals
    Articles
    Edwards JP, González-Domínguez VA, Huet I & Trejo MA (2022) 'Resummation for quantum propagators in bounded spaces' Physical Review E 105, (6) , DOI
    Ahmadiniaz N, Guzmán VMB, Bastianelli F, Corradini O, Edwards JP & Schubert C (2022) 'Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes' Journal of High Energy Physics 2022, (1) , DOI
    Edwards JP & Schubert C (2021) 'N-photon amplitudes in a plane-wave background' Physics Letters B 822, 136696-136696 , DOI
    Ahmadiniaz N, Edwards JP, Nicasio J & Schubert C (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
    Edwards JP & Ilderton A (2021) 'Resummation of background-collinear corrections in strong field QED' Physical Review D 103, (1) , DOI Open access
    Ahmadiniaz N, Guzmán VMB, Bastianelli F, Corradini O, Edwards JP & Schubert C (2020) 'Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes' Journal of High Energy Physics 2020, (8) , DOI
    Edwards JP, Gerber U, Schubert C, Trejo MA, Tsiftsi T & Weber A (2019) 'Applications of the worldline Monte Carlo formalism in quantum mechanics' Annals of Physics 411, 167966-167966 , DOI
    Corradini O, Edwards JP, Huet I, Manzo L & Pisani P (2019) 'Worldline formalism for a confined scalar field' Journal of High Energy Physics 2019, (8) , DOI
    Ahmadiniaz N, Edwards JP & Ilderton A (2019) 'Reducible contributions to quantum electrodynamics in external fields' Journal of High Energy Physics Author Site , DOI Open access
    Edwards JP & Kirchbach M (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
    Ahmadiniaz N, Corradini O, Edwards JP & Pisani P (2019) 'U(N) Yang-Mills in non-commutative space time' Journal of High Energy Physics 2019, (4) , DOI
    Edwards JP, Huet A & Schubert C (2018) 'On the low-energy limit of the QED N-photon amplitudes: part 2' Nuclear Physics B 935, 198-209 , DOI
    Edwards JP, Gerber U, Schubert C, Trejo MA & Weber A (2018) 'Integral transforms of the quantum mechanical path integral: Hit function and path-averaged potential' Physical Review E 97, (4) , DOI
    Edwards JP & Corradini O (2018) 'Worldline colour fields and non-Abelian quantum field theory' EPJ Web of Conferences 182, 02038-02038 , DOI
    Ahmadiniaz N, Bastianelli F, Corradini O, Edwards JP & Schubert C (2017) 'One-particle reducible contribution to the one-loop spinor propagator in a constant field' Nuclear Physics B 924, 377-386 , DOI
    Edwards JP & Schubert C (2017) 'One-particle reducible contribution to the one-loop scalar propagator in a constant field' Nuclear Physics B 923, 339-349 , DOI
    Edwards JP, Gerber U, Schubert C, Trejo MA & Weber A (2017) 'The Yukawa potential: ground state energy and critical screening' Progress of Theoretical and Experimental Physics 2017, (8) , DOI
    Edwards JP (2017) 'Non-commutativity in polar coordinates' The European Physical Journal C 77, (5) , DOI
    de Gruchy M, Caswell E & Edwards J (2017) 'Velocity-Based Terrain Coefficients for Time-Based Models of Human Movement' Internet Archaeology (45) , DOI
    Edwards JP & Corradini O (2016) 'Mixed symmetry Wilson-loop interactions in the worldline formalism' Journal of High Energy Physics 2016, (9) , DOI
    Corradini O & Edwards JP (2016) 'Mixed symmetry tensors in the worldline formalism' Journal of High Energy Physics 2016, (5) , DOI
    Edwards JP (2016) 'Contact interactions between particle worldlines' Journal of High Energy Physics 2016, (1) , DOI
    Edwards JP (2015) 'Unified theory in the worldline approach' Physics Letters B 750, 312-318 , DOI
    Edwards JP & Mansfield P (2015) 'QED as the tensionless limit of the spinning string with contact interaction' Physics Letters B 746, 335-340 , DOI
    Edwards JP & Mansfield P (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
    George RE, Edwards JP & Ardavan A (2013) 'Coherent Spin Control by Electrical Manipulation of the Magnetic Anisotropy' Physical Review Letters 110, (2) , DOI
    Conference Papers
    Corradini O, Schubert C, Edwards JP & Ahmadiniaz N (2015) 'Spinning Particles in Quantum Mechanics and Quantum Field Theory'
    Reports
    Edwards JP & Schubert C (2019) Quantum mechanical path integrals in the first quantised approach to quantum field theory. Author Site