|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910820407903321 |
|
|
Autore |
Lévy Thierry <1976-> |
|
|
Titolo |
Yang-Mills measure on compact surfaces / / Thierry Lévy |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2003 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (144 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 790 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Yang-Mills theory |
Quantum field theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"Volume 166, number 790 (end of volume)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""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"" |
|
|
|
|
|
|
|