Gauge Theory on Compact Surfaces - Couverture souple

Sengupta, Ambar

Couverture souple

ISBN 10 : 0821804847 ISBN 13 : 9780821804841

Editeur : American Mathematical Society, 1997

Synopsis

This work presents a rigorous account of quantum gauge field theory for bundles (both trivial and non-trivial) over compact surfaces. The Euclidean quantum field measure describing this theory is constructed and loop expectation values for a broad class of Wilson loop configurations are computed explicitly. Both the topology of the surface and the topology of the bundle are encoded in these loop expectation values. The effect of well-behaved area - preserving homeomorphisms of the surface is to take these loop expectation values into those for the pullback bundle. The quantum gauge field measure is constructed by conditioning an infinite-dimensional Gaussian measure to satisfy constraints imposed by the topologies of the surface and of the bundle. Holonomies, in this setting, are defined by interpreting the usual parallel-transport equation as a stochastic differential equation.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0821804847
• ISBN 13: 9780821804841
• Reliure: Broché
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible