On the Quantisation of Topological Field Models

By Mario Pitschmann

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." This description may be from another edition of this product.

• Format: Paperback
• Language: English
• ISBN: 3838102762
• ISBN13: 9783838102764
• Release Date: September 2009
• Publisher: Sudwestdeutscher Verlag Fur Hochschulschrifte
• Length: 112 Pages
• Weight: 0.35 lbs.
• Dimensions: 0.2" x 6.0" x 9.0"