On the Quantisation of Topological Field Models: The Thirring Model and Sine-Gordon Model - Softcover
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.
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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.
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On the Quantisation of Topological Field Models
Published by
Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015, 2015
ISBN 10: 3838102762
ISBN 13: 9783838102764
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 112 pp. Deutsch. Seller Inventory # 9783838102764
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On the Quantisation of Topological Field Models
Published by
Südwestdeutscher Verlag für Hochschulschriften, 2015
ISBN 10: 3838102762
ISBN 13: 9783838102764
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Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 s. Seller Inventory # 5404670
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On the Quantisation of Topological Field Models
Published by
Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015, 2015
ISBN 10: 3838102762
ISBN 13: 9783838102764
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. 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
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On the Quantisation of Topological Field Models : The Thirring Model and Sine-Gordon Model
Published by
Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG, 2009
ISBN 10: 3838102762
ISBN 13: 9783838102764
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783838102764