nLab Doug Pickrell

Douglas Murray Pickrell

• personal page

• institute page

• MathGenealogy page

• inSpire page

Selected writings

On rigorous construction of path integral measures for D=2/D=3 Yang-Mills theory (Maxwell-Chern-Simons theory) invariant under area-preserving diffeomorphisms:

• Doug Pickrell: On $YM_2$ measures and area-preserving diffeomorphisms, Journal of Geometry and Physics 19 4 (1996) 315-367 [doi:10.1016/0393-0440(95)00034-8]

On linear representations of area-preserving diffeomorphisms on (tacitly) quantum states of 3D Maxwell-Chern-Simons theory:

• Doug Pickrell: On the Action of the Group of Diffeomorphisms of a Surface on Sections of the Determinant Line Bundle, Pacific Journal of Mathematics 193 1 (2000) 177-199 [doi:10.2140/pjm.2000.193.177, pdf]

On realizing certain scalar field theories on surfaces as functorial field theories (cf. list of functorial field theories):

• Doug Pickrell: $P(\phi)_2$ Quantum Field Theories and Segal’s axioms, Commun. Math. Phys. 280 (2008) 403-425 [doi:10.1007/s00220-008-0467-8, arXiv:math-ph/0702077]

Concerning measures on loop groups related to path integral measures of D=3 Yang-Mills theory:

• Doug Pickrell: Notes on invariant measures for loop groups [arXiv:2207.09913]

Related entries

• constructive field theory

category: people