John Clayton Taylor


John Clayton Taylor is a British mathematical physicist. He is an Emeritus Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge and an Emeritus Fellow of Robinson College. He is the father of mathematician Richard Taylor.

Education

Taylor earned his PhD from the University of Cambridge in 1956, under the supervision of Richard J. Eden and Abdus Salam. His thesis was entitled Renormalisation and Related Topics in Quantum Field Theory.

Research

Taylor has made contributions to quantum field theory and the physics of elementary particles. His contibututions include: the discovery of singularities in the analytical structure of the Feynman integrals for processes in quantum field theory, the PCAC nature of radioactive decay of the pion and the discovery in 1971 of the so-called Slavnov–Taylor identities, which control symmetry and renormalisation of gauge theories.
With various collaborators, in 1980 he discovered that real and virtual infrared divergences do not cancel in QCD as they do in QED. They also showed how these infrared divergences exponentiate. In addition, they contributed to the resummation programme in thermal QCD, simplifying the "hard" part of the effective action. Later, they studied complications arising from the non-polynomial nature of the QCD Hamiltonian in the Coulomb gauge.

Books

Taylor was elected a Fellow of the Royal Society in 1981. His certificate of election reads: