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Yang-Mills Measure on Compact Surfaces

Thierry Levy




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 | #19187776 in Books |  2003-11-01 | Original language:English |  9.75 x7.00 x.25l,.60 | File type: PDF | 122 pages

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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 acoun...

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