03089nam 2200565 450 991082040790332120170822144324.01-4704-0388-9(CKB)3360000000464974(EBL)3114405(SSID)ssj0000976625(PQKBManifestationID)11623604(PQKBTitleCode)TC0000976625(PQKBWorkID)11034547(PQKB)11059089(MiAaPQ)EBC3114405(RPAM)13268626(PPN)195416767(EXLCZ)99336000000046497420030710d2003 uy| 0engur|n|---|||||txtccrYang-Mills measure on compact surfaces /Thierry LévyProvidence, Rhode Island :American Mathematical Society,2003.1 online resource (144 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 790"Volume 166, number 790 (end of volume)."0-8218-3429-0 Includes bibliographical references.""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""""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""""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""Memoirs of the American Mathematical Society ;no. 790.Yang-Mills theoryQuantum field theoryYang-Mills theory.Quantum field theory.510 s530.14/35Lévy Thierry1976-1714365MiAaPQMiAaPQMiAaPQBOOK9910820407903321Yang-Mills measure on compact surfaces4108123UNINA