We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Email and Telephone Directory

Staff Profile

Professor Emeritus Paul Mansfield, PhD University of Cambridge

Professor, Theoretical Particle Physics in the Department of Mathematical Sciences

(email at

Research Groups

Department of Mathematical Sciences

  • Mathematical & Theoretical Physics
  • Mathematical & Theoretical Physics: Quantum Field Theory

Research Interests

  • Strings and conformal field theory
  • Yang-Mills


Journal Article

  • Curry, Chris & Mansfield, Paul (2018). Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop. Journal of High Energy Physics 2018(6): 81.
  • Alexander, Helder, de Souza, Gustavo, Mansfield, Paul, da Paz, I. G. & Sampaio, Marcos (2016). Entanglement of self-interacting scalar fields in an expanding spacetime. EPL (Europhysics Letters) 115(1): 10006.
  • Edwards, J.P. & Mansfield, P.R.W. (2015). Delta-function interactions for the bosonic and spinning strings and the generation of Abelian gauge theory. Journal of High Energy Physics 2015(1): 127.
  • Edwards, James P. & Mansfield, Paul (2015). QED as the tensionless limit of the spinning string with contact interaction. Physics Letters B 746: 335-340.
  • Mansfield, Paul (2015). The fermion content of the Standard Model from a simple world-line theory. Physics Letters B 743: 353-356.
  • Mansfield, Paul (2012). Faraday's Lines of Force as Strings: from Gauss' Law to the Arrow of Time. Journal of High Energy Physics 2012(10): 149.
  • Mansfield, P. & Wardlow, A. (2011). Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time. Journal of High Energy Physics 2011(01): 097.
  • Mansfield, Paul & Wardlow, Adam (2009). Infinite dimensional symmetries of self-dual Yang-Mills. Journal of High Energy Physics 2009(08): 072.
  • Chih-Hao Fu, Jonathan Fudger, Paul R.W. Mansfield, Tim R. Morris & Zhiguang Xiao (2009). S-matrix equivalence restored. Journal of High Energy Physics 2009(06): 035.
  • James H. Ettle, Chih-Hao Fu, Jonathan P. Fudger, Paul R.W. Mansfield & Tim R. Morris (2007). S-matrix equivalence theorem evasion and dimensional regularisation with the canonical MHV lagrangian. Journal of High Energy Physics 2007(05): 34.
  • D. Leonard & P. Mansfield (2007). Solving the anharmonic oscillator: Tuning the boundary condition. Journal of Physics A: Mathematical and Theoretical 40(33): 10291.
  • Mansfield, Paul (2006). The Lagrangian origin of MHV rules. Journal of High Energy Physics 2006(03): 037.
  • Ilderton, Anton & Mansfield, Paul (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 Schrödinger functional. Journal of High Energy Physics 2005(10): 016.
  • Mansfield, Paul (2004). Solving the functional Schrödinger equation: Yang-Mills string tension and surface critical scaling. Journal of High Energy Physics 2004(04): 059.
  • Mansfield, Paul, Nolland, David & Ueno, Tatsuya (2004). The boundary Weyl anomaly in the N = 4 SYM / type IIB supergravity correspondence. Journal of High Energy Physics 2004(01): 013.
  • Davies, I. & Mansfield, P. (2003). A Large-D Weyl Invariant String in Anti-de Sitter Space. Modern Physics Letters A 18(22): 1517-1522.
  • Mansfield, P., Nolland, D. & Ueno, T. (2003). Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly. Physics Letters B 565: 207-210.
  • Mansfield, Paul, Nolland, David & Ueno, Tatsuya (2003). Order 1/N3 corrections to the conformal anomaly of the (2,0) theory in six dimensions. Physics Letters B 566(1-2): 157-163.
  • Mansfield, P. & Nolland, D. (2001). Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order. Physics Letters B 515(1-2): 192-196.
  • Davies, Ian & Mansfield, Paul (2001). The critical dimension of bosonic string theory in AdS space-time. arXiv
  • Kjærgaard, L. & Mansfield, P. (2000). Calculating the infra-red limit of quantum field theory using analyticity of correlation functions. Journal of High Energy Physics 2000(03): 008.
  • Jaramillo, A. & Mansfield, P. (2000). Finite Vevs from a large distance vacuum wave functional. International journal of modern physics A 16(04): 581-600.
  • Mansfield, Paul & Nolland, David (2000). Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly. Physics Letters B 495(3-4): 435-439.
  • Nolland, D. & Mansfield, P. (2000). The Schrödinger representation for Fermions and a local expansion of the Schwinger model. International Journal of Modern Physics A 15(03): 429-447.
  • Kjærgaard, L. & Mansfield, P. (1999). Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation. Physics Letters B 462(1-2): 103-108.
  • Mansfield, P. & Nolland, D. (1999). One-loop conformal anomalies from AdS/CFT in the Schrödinger representation. Journal of HIgh Energy Physics 1999(07): 028.
  • Mansfield, P. & Sampaio, M. (1999). Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional. Nuclear Physics B 545(1-3): 623-655.
  • Jaramillo, A. & Mansfield, P. (1998). Non-perturbative Vevs from a local expansion. Acta Physica Polonica B 29(9): 2487-2492.
  • Mansfield, P., Pachos, J. & Sampaio, M. (1998). Short distance properties from large distance behaviour. International Journal of Modern Physics A 13(23): 4101-4122.
  • Mansfield, P. & Neves, R. (1996). Boundary conformal field theories on random surfaces and the non-critical open string. Nuclear Physics B 479(1-2): 82-112.
  • Costambeys, R. & Mansfield, P. (1996). Modification of the topological expansion of the O(3) sigma model. Nuclear Physics B 462(1): 141-166.
  • Mansfield, P. (1996). Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour. Physics Letters B 365(1-4): 207-212.
  • Mansfield, P. & Pachos, J. (1996). The O(N) σ-model Laplacian. Physics Letters B 365(1-4): 169-174.
  • Mansfield, P. (1995). The vacuum functional at large distances. Physics Letters B 358(3-4): 287-296.
  • Mansfield, P. (1994). Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery. Nuclear Physics B 418(1-2): 113-130.
  • Mansfield, P. (1994). The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills. Nuclear Physics B 416(1): 205-226.

Conference Paper

  • Mansfield, P. (1997), A Large Distance Expansion for Quantum Field Theory, in Dremin, I.M. & Semikhatov, A.M. eds, 2nd International A.D. Sakharov Conference, Moscow, Russia, May 20-24, 1996. Moscow, Russia, World Scientific, Moscow, 490-493.