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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 p.r.w.mansfield@durham.ac.uk)

Research Groups

Department of Mathematical Sciences

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

Research Interests

  • Strings and conformal field theory
  • Yang-Mills

Publications

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.

Supervises