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:

  • 2018-2021: 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:

  • 2021: 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
    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