Yang Mills Measure on Compact Surfaces is popular PDF and ePub book, written by Thierry Lévy in 2003, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Yang Mills Measure on Compact Surfaces can be Read Online from any device for your convenience.
Yang Mills Measure on Compact Surfaces Book PDF Summary
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.
Detail Book of Yang Mills Measure on Compact Surfaces PDF
- Author : Thierry Lévy
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821834299
- Genre : Mathematics
- Total Page : 144 pages
- Language : English
- PDF File Size : 7,6 Mb
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