On the Quantisation of Topological Field Models: The Thirring Model and Sine-Gordon Model - Couverture souple

Pitschmann, Mario

Couverture souple

ISBN 10 : 3838102762 ISBN 13 : 9783838102764

Editeur : Suedwestdeutscher Verlag fuer Hochschulschriften, 2009

Synopsis

This book deals with the quantisation of topological quantum field theories in 1+1 space-time dimensions. These quantum ?eld theories are the Thirring model and the sine?Gordon model. The Thirring model is a fermionic quantum field theory, which is exactly solvable and hence an interesting laboratory to study quantum effects in a non-perturbative way. While it is well known that the massive Thirring model is renormalisable, the massless model was thought to be non-renormalisable. Here, a more general solution to the massless Thirring model is obtained, which allows to renormalise the massless Thirring model for the first time. The second part deals with the sine?Gordon model. This soliton model is exactly solvable and equivalent to the massive Thirring model. Using path integral techniques the quantum correction to the mass of a soliton is calculated in continuous space?time and within the discretisation technique with periodic and anti-periodic boundary conditions and rigid walls. Finally, it is shown that the ?nite contribution to the quantum mass of a soliton found in the literature arises due to a non?covariant procedure.

Détails de l'édition

• Éditeur: Suedwestdeutscher Verlag fuer Hochschulschriften
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 3838102762
• ISBN 13: 9783838102764
• Reliure: Broché
• Nombre de pages: 112
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible