Mario Pitschmann

On the Quantisation of Topological Field Models

The Thirring Model and Sine-Gordon Model

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Südwestdeutscher Verlag für Hochschulschriften
• Seitenzahl: 112
• Erscheinungstermin: 20. Juli 2015
• Deutsch
• Abmessung: 220mm x 150mm x 8mm
• Gewicht: 160g
• ISBN-13: 9783838102764
• ISBN-10: 3838102762
• Artikelnr.: 27065336

Autorenporträt

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