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181   $ctxt
182   $cc
183   $acr
200 10$aYang-Mills measure on compact surfaces /$fThierry Le?vy
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2003.
215   $a1 online resource (144 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 790
300   $a"Volume 166, number 790 (end of volume)."
311   $a0-8218-3429-0 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Introduction""; ""Chapter 1. Discrete Yang-Mills measure""; ""1.1. Notation""; ""1.2. Discretization of a surface""; ""1.3. Discrete holonomy and gauge transformations""; ""1.4. Discrete Yang-Mills measure""; ""1.5. Conditional Yang-Mills measure""; ""1.6. Invariance under subdivision""; ""1.7. Invariance under area-preserving diffeomorphisms""; ""1.8. Two examples""; ""1.9. Discrete Abelian theory""; ""Chapter 2. Continuous Yang-Mills measure""; ""2.1. Projective systems of probability spaces""; ""2.2. A Riemannian metric""; ""2.3. Piecewise geodesic Yang-Mills measure""
327   $a""2.4. Lassos and small piecewise geodesic loops""""2.5. The space of paths""; ""2.6. Definition of the random holonomy""; ""2.7. Consistency with the discrete theory""; ""2.8. Binding up the conditional versions""; ""2.9. Surfaces with boundary""; ""2.10. The random holonomy process""; ""Chapter 3. Abelian gauge theory""; ""3.1. The random holonomy as a white noise functional""; ""3.2. Small scale structure of the Yang-Mills field""; ""Chapter 4. Small scale structure in the semi-simple case""; ""4.1. Asymptotic independence: a zero-one law""; ""4.2. Asymptotic independence on the plane""
327   $a""Chapter 5. Surgery of the Yang-Mills measure""""5.1. Markov property of the Yang-Mills field""; ""5.2. Sewing two surfaces""; ""5.3. Mending a surface""; ""5.4. An area-dependent topological field theory""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 790.
606   $aYang-Mills theory
606   $aQuantum field theory
615  0$aYang-Mills theory.
615  0$aQuantum field theory.
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996   $aYang-Mills measure on compact surfaces$94108123
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