Dr Anton Ilderton
Profiles

Dr Anton Ilderton

Associate Professor of Theoretical Physics

School of Engineering, Computing and Mathematics (Faculty of Science and Engineering)

Associate Professor of Theoretical Physics

Admissions Tutor for Mathematical Sciences

Qualifications

  • PhD in high energy physics, Centre for Particle Theory, Durham (2006)
  • C.Adv.S.M. (Part III Mathematics), Distinction, Cambridge 2001
  • MA (Hons) Mathematics, 1st Class, Cambridge, 2000

Professional membership

  • Member of the EPSPC Peer Review College
    Fellow of the H.E.A.

Key publications

Cole JM, Behm KT, Gerstmayr E, Blackburn TG, Wood JC, Baird CD, Duff MJ, Harvey C, Ilderton A & Joglekar AS 2018 'Experimental Evidence of Radiation Reaction in the Collision of a High-Intensity Laser Pulse with a Laser-Wakefield Accelerated Electron Beam' Physical Review X 8, (1) , DOI PEARL
View all publications

Teaching interests

I currently teach:

  • Linear algebra in the first year (see MATH1603 on the course page)
  • Ordinary differential equations in the second year (MATH2603)
  • Quantum mechanics in the third year (MATH3606)

Research interests

My research is on quantum field theory under the influence of external conditions. I am interested in how strong fields (as found in magnetars, in the collision point of particle colliders, and as may be produced by ultra-intense lasers) can be used to probe fundamental physics both within the standard model and beyond. I am especially interested in exactly solvable models, nonperturbative phenomena, and lighfront methods.

I have recently written papers on graviational waves, super-integrable systems, Yang-Mills on nontrivial backgrounds, and the analytic structure of scattering amplitudes in background fields.

The theory developments in my research have direct application to experiments at intense laser facilities including the pan-European Extreme Light Infrastructure (ELI) and the UK’s Central Laser Facility. As such I was part of the collaboration that, in 2018, published the first observation of subtle quantum effects in laser-particle collisions, PRX 8 (2018) 011020.

Since 2016 I have brought in grants from Marie Curie, EPSRC, the Royal-Society and the Leverhulme Trust to the University of Plymouth. Some of these grants currently fund three postdoctoral researchers in the school.

Grants & contracts

Active grants
Principal investigator
on the Leverhulme Trust grant "Uncharted regimes of light-matter interactions" (with Tom Heinzl) (2019-2021)
Joint P-I on the EPSRC grant "Quantum phenomena in high-intensity laser-matter interactions" (with Ben King) (2019-2021)

Recently completed grants
P-I
on the Royal Society grant "New contributions for QED in background fields" (with James Edwards) (2018-2020)

Previous grants
PI,
Marie Curie Individual fellowship (2016-2017)
PI
on an Olle Engkvist Foundation award (2015-2016)
PI
on a Swedish Research Council award (2012-2015)


Key publications

Cole JM, Behm KT, Gerstmayr E, Blackburn TG, Wood JC, Baird CD, Duff MJ, Harvey C, Ilderton A & Joglekar AS 2018 'Experimental Evidence of Radiation Reaction in the Collision of a High-Intensity Laser Pulse with a Laser-Wakefield Accelerated Electron Beam' Physical Review X 8, (1) , DOI PEARL

Key publications are highlighted

Journals

A full list of my publications is available at inSPIRE or at Google Scholar.

Articles
Hu B, Ilderton A & Zhao X 2020 'Scattering in strong electromagnetic fields: Transverse size effects in time-dependent basis light-front quantization' Physical Review D 102, (1) , DOI PEARL
Ilderton A & MacLeod AJ 2020 'The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red' Journal of High Energy Physics 2020, (4) , DOI PEARL
Ilderton A, King B & Tang S 2020 'Toward the observation of interference effects in nonlinear Compton scattering' Physics Letters B 804, 135410-135410 , DOI PEARL
Ekman R & Ilderton A 2020 'Back-reaction in strong field QED: a toy model' Physical Review D: Particles, Fields, Gravitation and Cosmology Author Site , DOI PEARL
Ilderton A 2020 'Coherent quantum enhancement of pair production in the null domain' Physical Review D: Particles, Fields, Gravitation and Cosmology Author Site , DOI PEARL
Ilderton A 2019 'Exact results for scattering on ultrashort plane wave backgrounds' Physical Review D 100, (12) , DOI PEARL
Tang S, Ilderton A & King B 2019 'One-photon pair annihilation in pulsed plane-wave backgrounds' Physical Review A 100, (6) , DOI PEARL
Ilderton A, King B & Macleod AJ 2019 'Absorption cross section in an intense plane wave background' Physical Review D: Particles, Fields, Gravitation and Cosmology Author Site , DOI PEARL
Adamo T & Ilderton A 2019 'Gluon helicity flip in a plane wave background' Journal of High Energy Physics Author Site , DOI PEARL
Ahmadiniaz N, Edwards JP & Ilderton A 2019 'Reducible contributions to quantum electrodynamics in external fields' Journal of High Energy Physics Author Site , DOI PEARL
Blackburn TG, Ilderton A, Marklund M & Ridgers CP 2019 'Reaching supercritical field strengths with intense lasers' New Journal of Physics Publisher Site , DOI PEARL
Ilderton A, King B & Seipt D 2019 'Extended locally constant field approximation for nonlinear Compton scattering' Physical Review A 99, (4) , DOI PEARL
Baird CD, Murphy CD, Blackburn TG, Ilderton A, Mangles SPD, Marklund M & Ridgers CP 2019 'Realising Single-Shot Measurements of Quantum Radiation Reaction in High-Intensity Lasers' New Journal of Physics Author Site , DOI PEARL
Ilderton A 2019 'A note on the conjectured breakdown of QED perturbation theory in strong fields' Physical Review D, Particles and fields Author Site , DOI PEARL
Behm KT, Cole JM, Joglekar AS, Gerstmayr E, Wood JC, Baird CD, Blackburn TG, Duff M, Harvey C & Ilderton A 2018 'A spectrometer for ultrashort gamma-ray pulses with photon energies greater than 10 MeV' Review of Scientific Instruments 89, (11) 113303-113303 Author Site , DOI PEARL
Ansell L, Heinzl T & Ilderton A 2018 'Superintegrable relativistic systems in scalar background fields' Journal of Physics A: Mathematical and Theoretical Author Site PEARL
Heinzl T, Ilderton A & Seipt D 2018 'Mode truncations and scattering in strong fields' Physical Review D 98, (1) , DOI PEARL
Ilderton A 2018 'Screw-symmetric gravitational waves: A double copy of the vortex' Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 782, 22-27 , DOI PEARL
Cole JM, Behm KT, Gerstmayr E, Blackburn TG, Wood JC, Baird CD, Duff MJ, Harvey C, Ilderton A & Joglekar AS 2018 'Experimental Evidence of Radiation Reaction in the Collision of a High-Intensity Laser Pulse with a Laser-Wakefield Accelerated Electron Beam' Physical Review X 8, (1) , DOI PEARL
Ilderton A & Seipt D 2018 'Backreaction on background fields: A coherent state approach' Physical Review D 97, (1) , DOI PEARL
Gonoskov A, Bashinov A, Bastrakov S, Efimenko E, Ilderton A, Kim A, Marklund M, Meyerov I, Muraviev A & Sergeev A 2017 'Ultra-bright GeV photon source via controlled electromagnetic cascades in laser-dipole waves' Physical Review X Author Site , DOI PEARL
Blackburn TG, Ilderton A, Murphy CD & Marklund M 2017 'Scaling laws for positron production in laser–electron-beam collisions' Physical Review A 96, (2) , DOI PEARL
Heinzl T & Ilderton A 2017 'Superintegrable relativistic systems in spacetime-dependent background fields' Journal of Physcis A: Mathematical and Theoretical Author Site , DOI PEARL
Harvey CN, Gonoskov A, Ilderton A & Marklund M 2017 'Quantum Quenching of Radiation Losses in Short Laser Pulses' Physical Review Letters 118, (10) , DOI PEARL
Heinzl T & Ilderton A 2017 'Exact Classical and Quantum Dynamics in Background Electromagnetic Fields' Physical Review Letters 118, (11) , DOI PEARL
Ilderton A 2016 'Very special relativity as a background field theory' Physical Review D 94, (4) , DOI PEARL
Ilderton A & Torgrimsson G 2016 'Worldline approach to helicity flip in plane waves' Physical Review D 93, (8) , DOI PEARL
Ilderton A & Marklund M 2016 'Prospects for studying vacuum polarisation using dipole and synchrotron radiation' Journal of Plasma Physics 82, (02) , DOI PEARL
Dinu V, Harvey C, Ilderton A, Marklund M & Torgrimsson G 2016 'Quantum Radiation Reaction: From Interference to Incoherence' Physical Review Letters 116, (4) , DOI
Heinzl T, Ilderton A & King B 2016 'Classical and quantum particle dynamics in univariate background fields' Physical Review D 94, 065039-065039 PEARL
Gonoskov A, Bastrakov S, Efimenko E, Ilderton A, Marklund M, Meyerov I, Muraviev A, Sergeev A, Surmin I & Wallin E 2015 'Publisher's Note: Extended particle-in-cell schemes for physics in ultrastrong laser fields: Review and developments [Phys. Rev. E92, 023305 (2015)]' Physical Review E 92, (3) , DOI
Ilderton A, Torgrimsson G & Wårdh J 2015 'Nonperturbative pair production in interpolating fields' Physical Review D 92, (6) , DOI PEARL
Gonoskov A, Bastrakov S, Efimenko E, Ilderton A, Marklund M, Meyerov I, Muraviev A, Sergeev A, Surmin I & Wallin E 2015 'Extended particle-in-cell schemes for physics in ultrastrong laser fields: Review and developments' Physical Review E 92, (2) , DOI PEARL
Ilderton A, Torgrimsson G & Wårdh J 2015 'Pair production from residues of complex worldline instantons' Physical Review D 92, (2) , DOI PEARL
Heinzl T, Harvey C, Ilderton A, Marklund M, Bulanov SS, Rykovanov S, Schroeder CB, Esarey E & Leemans WP 2015 'Detecting radiation reaction at moderate laser intensities' Physical Review E 91, (2) , DOI PEARL
Harvey CN, Ilderton A & King B 2015 'Testing numerical implementations of strong-field electrodynamics' Physical Review A 91, 013822-013822 PEARL
Ilderton A 2014 'Localisation in worldline pair production and lightfront zero-modes' Journal of High Energy Physics 2014, (9) , DOI PEARL
Dinu V, Heinzl T, Ilderton A, Marklund M & Torgrimsson G 2014 'Photon polarization in light-by-light scattering: Finite size effects' Physical Review D 90, (4) , DOI PEARL
Gonoskov A, Bashinov A, Gonoskov I, Harvey C, Ilderton A, Kim A, Marklund M, Mourou G & Sergeev A 2014 'Anomalous Radiative Trapping in Laser Fields of Extreme Intensity' Physical Review Letters 113, (1) , DOI PEARL
Dinu V, Heinzl T, Ilderton A, Marklund M & Torgrimsson G 2014 'Vacuum refractive indices and helicity flip in strong-field QED' Physical Review D 89, (12) , DOI PEARL
Vary JP, Zhao X, Ilderton A, Honkanen H, Maris P & Brodsky SJ 2014 'Applications of Basis Light-Front Quantization to QED' Nuclear Physics B - Proceedings Supplements 251-252, 10-15 , DOI
Bakker BLG, Bassetto A, Brodsky SJ, Broniowski W, Dalley S, Frederico T, Glazek SD, Hiller JR, Ji C-R & Karmanov V 2014 'Light-front quantum chromodynamics' Nuclear Physics B - Proceedings Supplements 251-252, 165-174 , DOI PEARL
Zhao X, Ilderton A, Maris P & Vary JP 2014 'Nonperturbative Quantum Field Evolution' Few-Body Systems 55, (5-7) 555-560 , DOI
Ilderton A 2014 'Lightfront QED and Intense Field Physics' Few-Body Systems 55, (5-7) 493-499 , DOI
Zhao X, Ilderton A, Maris P & Vary JP 2013 'Non-perturbative quantum time evolution on the light-front' Physics Letters B 726, (4-5) 856-860 , DOI
Ilderton A & Torgrimsson G 2013 'Radiation reaction in strong field QED' Physics Letters B 725, (4-5) 481-486 , DOI
Zhao X, Ilderton A, Maris P & Vary JP 2013 'Scattering in time-dependent basis light-front quantization' Physical Review D 88, (6) , DOI
Gonoskov A, Gonoskov I, Harvey C, Ilderton A, Kim A, Marklund M, Mourou G & Sergeev A 2013 'Probing Nonperturbative QED with Optimally Focused Laser Pulses' Physical Review Letters 111, (6) , DOI
Ilderton A & Torgrimsson G 2013 'Radiation reaction from QED: Lightfront perturbation theory in a plane wave background' Physical Review D 88, (2) , DOI
Ilderton A & Torgrimsson G 2013 'Scattering in plane-wave backgrounds: Infrared effects and pole structure' Physical Review D 87, (8) , DOI
Dinu V, Heinzl T & Ilderton A 2012 'Infrared divergences in plane wave backgrounds' Physical Review D 86, (8) , DOI PEARL
Harvey C, Heinzl T, Ilderton A & Marklund M 2012 'Intensity-Dependent Electron Mass Shift in a Laser Field: Existence, Universality, and Detection' PHYSICAL REVIEW LETTERS 109, (10) Author Site , DOI PEARL
Ilderton A 2012 'Lightfront DHW Functions and Strong Field QED' Few-Body Systems 52, (3-4) 431-436 , DOI
Hebenstreit F, Ilderton A & Marklund M 2011 'Pair production: The view from the lightfront' Physical Review D 84, (12) , DOI
Ilderton A, Johansson P & Marklund M 2011 'Pair annihilation in laser pulses: Optical versus x-ray free-electron laser regimes' Physical Review A 84, (3) , DOI
Hebenstreit F, Ilderton A, Marklund M & Zamanian J 2011 'Strong field effects in laser pulses: The Wigner formalism' Physical Review D 83, (6) , DOI
Ilderton A 2011 'Trident Pair Production in Strong Laser Pulses' Physical Review Letters 106, (2) , DOI
Heinzl T, Ilderton A & Marklund M 2010 'Pair production in laser fields: finite size effects' PoS LC 2010, 007-007 Author Site
Heinzl T, Ilderton A & Marklund M 2010 'Finite size effects in stimulated laser pair production' Physics Letters B 692, (4) 250-256 Author Site Publisher Site , DOI
Ilderton A, Lavelle M & McMullan D 2010 'Symmetry breaking, conformal geometry and gauge invariance' JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL 43, (31) Author Site , DOI PEARL
Ilderton A 2010 'Strong Field, Noncommutative QED' Symmetry, Integrability and Geometry: Methods and Applications , DOI
Ilderton A, Lavelle M & McMullan D 2010 'Stability, creation and annihilation of charges in gauge theories' ANNALS OF PHYSICS 325, (4) 835-851 Author Site , DOI PEARL
Heinzl T, Ilderton A & Marklund M 2010 'Laser intensity effects in noncommutative QED' Physical Review D 81, (5) , DOI
Heinzl T, Ilderton A & Marklund M 2010 'Noncommutativity and the lightfront' Nuclear Physics B - Proceedings Supplements 199, (1) 153-159 , DOI
Ilderton A, Lavelle M & McMullan D 2009 'Physical charges in QED and QCD' Proceedings of Science PEARL
Harvey C, Heinzl T & Ilderton A 2009 'Signatures of high-intensity Compton scattering' Physical Review A 79, (6) , DOI
Heinzl T & Ilderton A 2009 'A Lorentz and gauge invariant measure of laser intensity' Optics Communications 282, (9) 1879-1883 , DOI
Heinzl T & Ilderton A 2009 'Exploring high-intensity QED at ELI' The European Physical Journal D 55, (2) 359-364 , DOI
Ilderton A 2009 'Unparticle actions and gauge invariance' Physical Review D 79, (2) , DOI
Gray J, He Y-H, Ilderton A & Lukas A 2009 'STRINGVACUA. A Mathematica package for studying vacuum configurations in string phenomenology' Computer Physics Communications 180, (1) 107-119 , DOI
Langfeld K, Heinzl T, Ilderton A, Lavelle M & McMullan D 2008 'Solution of the Gribov problem from gauge invariance' PoS Confinement 8, 047-047 Author Site PEARL
Heinzl T, Ilderton A, Langfeld K, Lavelle M & McMullan D 2008 'Ice-limit of Coulomb gauge Yang-Mills theory' Physical Review D 78, (7) Author Site Publisher Site , DOI PEARL
Heinzl T & Ilderton A 2008 'Extreme field physics and QED' arXiv Author Site
Heinzl T, Ilderton A, Langfeld K, Lavelle M, Lutz W & McMullan D 2008 'Is the ground state of Yang-Mills theory Coulombic?' Physical Review D 78, (3) , DOI PEARL
Heinzl T, Ilderton A, Langfeld K, Lavelle M, Lutz W & McMullan D 2008 'Probing the ground state in gauge theories' Physical Review D 77, (5) , DOI PEARL
Gray J, He Y-H, Ilderton A & Lukas A 2007 'A new method for finding vacua in string phenomenology' Journal of High Energy Physics 2007, (07) 023-023 , DOI
Ilderton A, Lavelle M & McMullan D 2007 'Colour, copies and confinement' Journal of High Energy Physics 2007, (03) 044-044 , DOI
Gray J, He YH, Ilderton A & Lukas A 2007 'A new method for finding vacua in string phenomenology' Journal of High Energy Physics 2007, (7)
Ilderton A, Lavelle M & McMullan D 2007 'Colour, copies and confinement' Journal of High Energy Physics 2007, (3) PEARL
Heinzl T & Ilderton A 2007 'Noncommutativity from spectral flow' Journal of Physics A-Mathematical and Theoretical 40, (30) 9097-9123
ILDERTON A 2006 'RECONSTRUCTING THE STRING FIELD VACUUM' International Journal of Modern Physics A 21, (12) 2527-2540 , DOI
Ilderton A 2006 'QED amplitudes: recurrence relations to all orders' Nuclear Physics B 742, 176-186
Ilderton A 2006 'Radial evolution in anti-de Sitter space-time' International Journal of Modern Physics A 21, (16) 3289-3294
Ilderton A 2006 'Reconstructing the string field vacuum' International Journal of Modern Physics A 21, (12) 2527-2540
Ilderton A 2006 'Recursive structures in string field theory' Nuclear Physics B 759, (1-2) 283-291
Ilderton A & Mansfield P 2005 'Time evolution in string field theory and T-duality' Physics Letters B 607, (3-4) 294-301
Ilderton A & Mansfield P 2005 'Timelike T-duality in the string field Schrodinger functional' Journal of High Energy Physics (10)
Adamo T & Ilderton A 0 'Classical and quantum double copy of back-reaction' Author Site
Ilderton A 0 'Gribov copies and confinement' ECONFC 0706044, Author Site
Gonoskov A, Harvey C, Ilderton A, Mackenroth F & Marklund M 0 'Lighting up the Christmas tree: high-intensity laser interactions with a nano-structured target' Author Site
Zhao X, Ilderton A, Maris P & Vary JP 0 'Non-Perturbative Time-Dependent Quantum Field Evolution' Author Site
Levy MC, Blackburn TG, Ratan N, Sadler J, Ridgers CP, Kasim M, Ceurvorst L, Holloway J, Baring MG & Bell AR 0 'QED-driven laser absorption' Author Site
Ilderton A 0 'Renormalisation group flow of the Jaynes-Cummings model' Author Site PEARL
Reports
Heinzl T 2013 Corrections to Laser Electron Thomson Scattering. PEARL
Conference Papers
Vary JP, Zhao X, Ilderton A, Honkanen H, Maris P & Brodsky SJ 2013 'Basis light-front quantization: A new approach to non-perturbative scattering and time-dependent production processes' 1-/-0/19001-/-0/1900257-262 , DOI
Marklund M, Ilderton A & Lundin J 2011 'Probing new physics using high-intensity laser systems' SPIE Optics + Optoelectronics 1-/-0/19001-/-0/1900SPIE , DOI
Ilderton A, Heinzl T, Langfeld K, Lavelle M & McMullan D 2009 'Infra-red problems and a response' 1-/-0/19001-/-0/1900
Marklund M, Brodin G, Lundin J, Ilderton A, Eliasson B & Shukla PK 2009 'High Intensity Physics' NEW DEVELOPMENTS IN NONLINEAR PLASMA PHYSICS: Proceedings of the 2009 ICTP Summer College on Plasma Physics and International Symposium on Cutting Edge Plasma Physics 1-/-0/19001-/-0/1900AIP , DOI
Langfeld K, Heinzl T, Ilderton A, Lavelle M & McMullan D 2008 'Solution of the Gribov problem from gauge invariance' 1-/-0/19001-/-0/1900

Reports & invited lectures

2018: PhD course on "Strong Field QED", Chalmers University, Gothenburg, Sweden.

2017: Lecturing at the ELI-NP summer school on intense laser physics, Romania.

2015: Lecturing at the ELI-NP summer school on intense laser physics, Romania.