On the Quantisation of Topological Field Models

Mario Pitschmann

ISBN 10: 3838102762 / ISBN 13: 9783838102764

Published by Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015, 2015

About this Item

Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 112 pp. Deutsch.

Seller Inventory # 9783838102764

Bibliographic Details

• Title: On the Quantisation of Topological Field Models
• Publisher: Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 3838102762
• ISBN 13: 9783838102764
• Binding: Taschenbuch
• Condition: Neu

About this title

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.

About the Author

Mario Pitschmann, DI Dr.: diploma study of Technical Physics at the Vienna University of Technology and the University of Vienna, Ph. D. in Theoretical Physics at the Vienna University of Technology in 2006.