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Yang-Mills measure on compact surfaces / / Thierry Lévy
| Yang-Mills measure on compact surfaces / / Thierry Lévy |
| Autore | Lévy Thierry <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina |
510 s
530.14/35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Yang-Mills theory
Quantum field theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0388-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480640503321 |
Lévy Thierry <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Yang-Mills measure on compact surfaces / / Thierry Lévy
| Yang-Mills measure on compact surfaces / / Thierry Lévy |
| Autore | Lévy Thierry <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina |
510 s
530.14/35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Yang-Mills theory
Quantum field theory |
| ISBN | 1-4704-0388-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788745503321 |
|
Lévy Thierry <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Yang-Mills measure on compact surfaces / / Thierry Lévy
| Yang-Mills measure on compact surfaces / / Thierry Lévy |
| Autore | Lévy Thierry <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina |
510 s
530.14/35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Yang-Mills theory
Quantum field theory |
| ISBN | 1-4704-0388-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910820407903321 |
|
Lévy Thierry <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||