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Item Details
| Title:
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YANG-MILLS MEASURE ON COMPACT SURFACES
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| By: |
Thierry Levy |
| Format: |
Paperback |
| List price:
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£61.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821834290 |
| ISBN 13: |
9780821834299 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 September, 2003 |
| Series: |
Memoirs of the American Mathematical Society No. 166 |
| Pages: |
122 |
| Description: |
Presents construction and properties of the Yang-Mills measure in two dimensions. This book proves the result of asymptotic independence in the case of a semi-simple structure group. It investigates global Markovian properties of the measure that are related to the surgery of surfaces. |
| Synopsis: |
In this memoir we present a new construction and new properties of the Yang-Mills measure in two dimensions. This measure was first introduced for the needs of quantum field theory and can be described informally as a probability measure on the space of connections modulo gauge transformations on a principal bundle. We consider the case of a bundle over a compact orientable surface. Our construction is based on the discrete Yang-Mills theory of which we give a full acount. We are able to take its continuum limit and to define a pathwise multiplicative process of random holonomy indexed by the class of piecewise embedded loops. We study in detail the links between this process and a white noise and prove a result of asymptotic independence in the case of a semi-simple structure group. We also investigate global Markovian properties of the measure related to the surgery of surfaces. |
| Illustrations: |
Illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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