Professor David McMullan
Profiles

Professor David McMullan

Associate Head of School

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

Role

I am Associate Head for Mathematics and Statistics in the School of Computing, Electronics and Mathematics.

Teaching interests

I have a wide experience of teaching Mathematics and its applications. Previously I have taught at the University of Utah, the University of Glasgow, the University of Warwick and in Ireland while based at the Dublin Institute for Advanced Studies.

My current teaching in Plymouth is on two first year modules on our mathematics degrees: Mathematical Reasoning and also Calculus and Analysis. I also contribute to the second semester immersive module on the Quantum Universe.

Research interests

I am a member of the Particle Physics Theory Group which is part of the Centre for Mathematical Sciences.

My research interests are in gauge theories and, in particular, their infra-red sector. I have recently been applying some of the techniques that I have developed to intense laser fields where many of these ideas are proving fruitful. Future experiments in these areas will have a direct impact on our understanding of these aspects of gauge theories.

I have recently become involved in deciphering letters written by POW's during WW2. See this BBC report.

A list of my publications can be found

here.

Key publications are highlighted

Journals
Articles
Lavelle M & McMullan D 2018 'Electrons in an eccentric background field' Physical Review D 97, (3) , DOI PEARL
Lavelle M & McMullan D 2015 'Fermionic propagator in an intense background' Physical Review D 91, (10) , DOI
Lavelle M & McMullan D 2014 'Sideband mixing in intense laser backgrounds' PHYSICS LETTERS B 739, 421-424 Author Site , DOI
Lavelle M, McMullan D & Raddadi M 2013 'Propagation in an intense background' PHYSICAL REVIEW D 87, (8) Author Site , DOI
Lavelle M, McMullan D & Sharma P 2012 'Factorization of glue and mass terms in SU(N) gauge theories' PHYSICAL REVIEW D 85, (4) Author Site , DOI
Lavelle M, McMullan D & Steele T 2012 'Soft Collinear Degeneracies in an Asymptotically Free Theory' Advances in High Energy Physics 2012, 1-10 , 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, 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
Ilderton A, Lavelle M & McMullan D 2009 'Physical charges in QED and QCD' Proceedings of Science PEARL
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, Langfeld K, Lavelle M, Lutz W & McMullan D 2008 'Is the ground state of Yang-Mills theory Coulombic?' Phys.Rev.D 78, Author Site Publisher Site , DOI PEARL
Khvedelidze A, Kovner A & McMullan D 2008 'Creating a monopole in 4D gauge theories' PHYSICS OF ATOMIC NUCLEI 71, (5) 930-936 Author Site , DOI
Heinzl T, Ilderton A, Langfeld K, Lavelle M, Lutz W & McMullan D 2008 'Probing the ground state in gauge theories' Phys.Rev.D 77, Author Site Publisher Site , DOI PEARL
McMullan D 2007 'Charges and topology' Nuclear Physics B-Proceedings Supplements 174, 209-212
Mcmullan D 2007 'Charges in Gauge Theories' SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 3, Author Site , DOI
Ilderton A, Lavelle M & McMullan D 2007 'Colour, copies and confinement' Journal of High Energy Physics 2007, (3) PEARL
Heinzl T, Langfeld K, Lavelle M & McMullan D 2007 'Coulomb gauge Gribov copies and the confining potential' Physical Review D 76, (11)
Lavelle M & McMullan D 2007 'Initial states: IR and collinear divergences' Nuclear Physics B-Proceedings Supplements 174, 51-54
Gerdt V, Horan R, Khvedelidze A, Lavelle M, McMullan D & Palii Y 2006 'On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)' Journal of Mathematical Physics 47 (11), , DOI
Lavelle M & McMullan D 2006 'Collinearity, convergence and cancelling infrared divergences' Journal of High Energy Physics 2006, (03) 026-026 , DOI
Khvedelidze A, McMullan D & Kovner A 2006 'Magnetic monopoles in 4D: a perturbative calculation' Journal of High Energy Physics 2006, (01) 145-145 , DOI
Bagan E, Lavelle M & McMullan D 2006 'Anti-screening by quarks and the structure of the inter-quark potential' Physics Letters B 632, (5-6) 652-656
Lavelle M & McMullan D 2006 'Collinearity, convergence and cancelling infrared divergences' Journal of High Energy Physics 2006, (3)
Khvedelidze A, McMullan D & Kovner A 2006 'Magnetic monopoles in 4D: a perturbative calculation' Journal of High Energy Physics 2006, (1)
Khvedelidze A, Kovner A & McMullan D 2004 'The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions' Journal of High Energy Physics 8, (7) 45-59
Bagan E, Horan R, Kovner A, Lavelle M, Mazumder Z, McMullan D & Tanimura S 2004 'On electric and magnetic charges in gauge theories' Nuclear Physics B-Proceedings Supplements 133, 277-280
Khvedelidze A, Kovner A & McMullan D 2004 'The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions' Journal of High Energy Physics 2004, (7) 1-15
Kovner A, Lavelle MJ & McMullan D 2002 'On nonexistence of magnetic charge in pure Yang-Mills theories' Journal of High Energy Physics 6, (12) 939-948
Kovner A, Lavelle MJ & McMullan D 2002 'On Nonexistence of Magnetic Charge in Pure Yang-Mills Theories' Journal of High Energy Physics 2002 (12), , DOI PEARL
Gardner M, Dobson J, Miller B, Allchin C, McMullan D, Oliver T, Wells D, Hudson R, Toft R 2002 'Implementation of a ”data filter" for the UK National Marine Monitoring Programme' Accreditation and Quality Assurance 7, (2) 60-65 , DOI
Bagan E, Lavelle M, McMullan D & Tanimura S 2002 'Structure of screening in QED' Physical Review D 65, (10)
Horan R, Lavelle M & McMullan D 2000 'Asymptotic dynamics in quantum field theory' JOURNAL OF MATHEMATICAL PHYSICS 41, (7) 4437-4451 Author Site , DOI
Bagan E, Lavelle M & McMullan D 2000 'Charges from dressed matter: Construction' ANNALS OF PHYSICS 282, (2) 471-502 Author Site , DOI
Bagan E, Lavelle M & McMullan D 2000 'Charges from dressed matter: Physics and renormalisation' ANNALS OF PHYSICS 282, (2) 503-540 Author Site , DOI
Bagan E, Lavelle M & McMullan D 2000 'Electrons and photons: fact not fiction' PHYSICS LETTERS B 477, (1-3) 396-400 Author Site , DOI
Bagan E, Lavelle M & McMullan D 2000 'The structure of the QCD potential in 2+1 dimensions' PHYSICS LETTERS B 477, (1-3) 355-360 Author Site , DOI
Lavelle M & McMullan D 1999 'Hadrons without strings' PHYSICS LETTERS B 471, (1) 65-71 Author Site , DOI
Lavelle M & McMullan D 1998 'Colour charges and the anti-screening contribution to the interquark potential' PHYSICS LETTERS B 436, (3-4) 339-343 Author Site , DOI
Leibbrandt G & McMullan D 1998 'The glue around quarks and the infra-red - Discussion' NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS 64, 332-332 Author Site
McMullan D 1998 'The pseudoclassical relativistic quark model in the rest-frame Wigner-covariant gauge - Discussion' NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS 64, 311-311 Author Site
Bagan E, Lavelle M & McMullan D 1998 'Soft dynamics and gauge theories' PHYSICAL REVIEW D 57, (8) R4521-R4524 Author Site , DOI
Horan R, Lavelle M & Mcmullan D 1998 'Charges in gauge theories' PRAMANA-JOURNAL OF PHYSICS 51, (3-4) 317-355 Author Site , DOI
Bagan E, Lavelle M & McMullan D 1997 'Infrared finite electron propagator' PHYSICAL REVIEW D 56, (6) 3732-3743 Author Site , DOI
Bagan E, Fiol B, Lavelle M & McMullan D 1997 'Infrared finite charge propagation' MODERN PHYSICS LETTERS A 12, (25) 1815-1821 Author Site , DOI
Lavelle M & McMullan D 1997 'Constituent quarks from QCD' PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS 279, (1) 1-65 Author Site , DOI
Lavelle M & McMullan D 1996 'The colour of quarks' PHYSICS LETTERS B 371, (1-2) 83-86 Author Site , DOI
Bagan E, Lavelle M & McMullan D 1996 'The physical propagator of a slowly moving charge' PHYSICS LETTERS B 370, (1-2) 128-134 Author Site , DOI
Levay P, McMullan D & Tsutsui I 1996 'The canonical connection in quantum mechanics' JOURNAL OF MATHEMATICAL PHYSICS 37, (2) 625-636 Author Site , DOI
LAVELLE M & MCMULLAN D 1995 'NONLOCAL SYMMETRY FOR QED AND RELATIVISTICALLY COVARIANT SYMMETRY IN QED - REPLY' PHYSICAL REVIEW LETTERS 75, (22) 4151-4151 Author Site , DOI
LAVELLE M & MCMULLAN D 1995 'OBSERVABLES AND GAUGE-FIXING IN SPONTANEOUSLY BROKEN GAUGE-THEORIES' PHYSICS LETTERS B 347, (1-2) 89-94 Author Site , DOI
MCMULLAN D & TSUTSUI I 1995 'ON THE EMERGENCE OF GAUGE STRUCTURES AND GENERALIZED SPIN WHEN QUANTIZING ON A COSET SPACE' ANNALS OF PHYSICS 237, (2) 269-321 Author Site , DOI
LAVELLE MJ & MCMULLAN D 1994 'NONLOCAL SYMMETRY FOR QED - REPLY' PHYSICAL REVIEW LETTERS 73, (7) 1048-1048 Author Site , DOI
Lavelle M & McMullan D 1994 'Perturbative and non-perturbative quarks and gluons' Physics Letters B 329, (1) 68-74 , DOI
MCMULLAN D 1994 'CONSTRAINED QUANTIZATION, GAUGE-FIXING AND THE GRIBOV AMBIGUITY' COMMUNICATIONS IN MATHEMATICAL PHYSICS 160, (3) 431-456 Author Site , DOI
MCMULLAN D & TSUTSUI I 1994 'BPST INSTANTON AND SPIN FROM INEQUIVALENT QUANTIZATIONS' PHYSICS LETTERS B 320, (3-4) 287-293 Author Site , DOI
LAVELLE M & MCMULLAN D 1993 'NONLOCAL SYMMETRY FOR QED' PHYSICAL REVIEW LETTERS 71, (23) 3758-3762 Author Site , DOI
Lavelle M & McMullan D 1993 'Gauge choices and physical variables in QED' Physics Letters B 316, (1) 172-174 , DOI
Lavelle M & McMullan D 1993 'On the physical propagators of QED' Physics Letters B 312, (1-2) 211-214 , DOI
Lavelle M & McMullan D 1993 'The radiation class: a set of temporal gauges' Zeitschrift für Physik C Particles and Fields 59, (2) 351-356 , DOI
McMullan D 1992 'Classical states and the BRST charge' Communications in Mathematical Physics 149, (1) 161-174 , DOI
McMullan D 1991 'Gauge fixing and ghost variables' Nuclear Physics B 363, (2-3) 451-485 , DOI
McMullan D & Paterson J 1989 'Covariant factor ordering of gauge systems using ghost variables. I. Constraint rescaling' Journal of Mathematical Physics 30, (2) 477-486 , DOI
McMullan D & Paterson J 1989 'Covariant factor ordering of gauge systems using ghost variables. II. States and observables' Journal of Mathematical Physics 30, (2) 487-497 , DOI
Bakas I & McMullan D 1988 'Gauge group cohomology in the monopole sector of Yang–Mills theories' Journal of Mathematical Physics 29, (8) 1909-1915 , DOI
McMullan D & Paterson J 1988 'Factor ordering and ghost variables' Physics Letters B 202, (3) 358-362 , DOI
Bakas I & McMullan D 1987 'Group theoretical quantization on loop spaces and the sugawara construction' Physics Letters B 199, (3) 417-421 , DOI
Bakas I & McMullan D 1987 'Schwinger terms and coupled effective theories' Physics Letters B 199, (1) 65-68 , DOI
Bakas I & McMullan D 1987 'Alternative dynamical description of the Wess-Zumino-Witten system' Physics Letters B 189, (1-2) 141-144 , DOI
Browning AD & McMullan D 1987 'The Batalin, Fradkin, and Vilkovisky formalism for higher‐order theories' Journal of Mathematical Physics 28, (2) 438-444 , DOI
McMullan D 1987 'Yang–Mills theory and the Batalin–Fradkin–Vilkovisky formalism' Journal of Mathematical Physics 28, (2) 428-437 , DOI
McMullan D 1986 'Use of ghosts in the description of physical states' Physical Review D 33, (8) 2501-2503 , DOI
Bagan E, Lavelle M, McMullan D, Fiol B & Roy N 0 'Construction and Consequences of Coloured Charges in QCD' Published in the proceedings of the workshop on Quantum Chromodynamics: Collisions, Confinement and Chaos, Editors H.M. Fried and B. Mueller, World Scientific 1997 Author Site PEARL
Chapters
Bagan E, Horan R, Lavelle M & McMullan D 2002 'Charged particles: A builder's guide' in Fried HM; Gabellini Y; Muller B Proceedings of 6th Workshop on Nonperturbative Quantum Chromodynamics World Scientific 134-139
Bagan E, Lavelle M & McMullan D 2002 'Screening, anti-screening and confinement' in Fried HM; Gabellini Y; Muller B Proceedings of 6th Workshop on Nonperturbative Quantum Chromodynamics, World Scientific World Scientific 197-202
Conference Papers
Ilderton A, Heinzl T, Langfeld K, Lavelle M & McMullan D 2009 'Infra-red problems and a response'
Langfeld K, Heinzl T, Ilderton A, Lavelle M & McMullan D 2008 'Solution of the Gribov problem from gauge invariance'
Kovner A, Khvedelidze A & McMullan D 2007 'Perturbative calculation of the VEV of the monopole creation operator' 334-337
Kovner A 2006 'Approaching continuum monopoles' PARTICLES AND NUCLEI: Seventeenth Internatinal Conference on Particles and Nuclei AIP , DOI
Horan R, Lavelle M, McMullan D & Khvedelidze A 2002 'Charges, monopoles and gauge invariance' Confinement, Topology and other Nonpreturbative Aspects of QCD, Kluwer Academic Publishers 205-212
Bagan E, Horan R, Lavelle M & McMullan D 1999 'The glue around quarks and the interquark potential' 353-356 , DOI
Bagan E, Lavelle M & McMullan D 1998 'The glue around quarks and the infra-red' 329-332 , DOI
Bagan E, Lavelle M, McMullan D, Fiol B & Roy N 1997 'How do constituent quarks arise in QCD? Perturbation theory and the infra-red' 208-212