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Gauge theory on compact surfaces /
In this paper we develop a concrete description of connections on principal bundles, possibly non-trivial, over compact surfaces and use this description to construct the Yang-Mills measure which underlies the Euclidean quantum theory of gauge fields, involving compact gauge groups, on compact conne...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©1997.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 600. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Sengupta, Ambar, |d 1963- |1 https://id.oclc.org/worldcat/entity/E39PBJmhJfmfcRHTdwJFxK6qcP | |
| 245 | 1 | 0 | |a Gauge theory on compact surfaces / |c Ambar Sengupta. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©1997. | ||
| 300 | |a 1 online resource (viii, 85 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 600 | |
| 500 | |a "March 1997, volume 126, number 600 (first of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 84-85). | ||
| 505 | 0 | 0 | |t Introduction -- |t Terminology and basic facts -- |t The structure of bundles and connections over compact surfaces -- |t Quantum gauge theory on the disk -- |t A conditional probability measure -- |t The Yang-Mills measure -- |t Invariants of systems of curves -- |t Loop expectation values I -- |t Some tools for the abelian case -- |t Loop expectation values II -- |t Appendix. |
| 520 | |a In this paper we develop a concrete description of connections on principal bundles, possibly non-trivial, over compact surfaces and use this description to construct the Yang-Mills measure which underlies the Euclidean quantum theory of gauge fields, involving compact gauge groups, on compact connected two-dimensional Riemannian manifolds (possibly with boundary). Using this measure we compute expectation values of important random variables, the Wilson loops variables, corresponding to a broad class of configurations of loops on the surface. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Quantum field theory. | |
| 650 | 0 | |a Topology. | |
| 650 | 0 | |a Stochastic geometry. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Théorie quantique des champs. | |
| 650 | 6 | |a Topologie. | |
| 650 | 6 | |a Géométrie stochastique. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 650 | 7 | |a Stochastic geometry |2 fast | |
| 650 | 7 | |a Topology |2 fast | |
| 758 | |i has work: |a Gauge theory on compact surfaces (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH8q6dpMxDM99yvTDQhd33 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Sengupta, Ambar, 1963- |t Gauge theory on compact surfaces / |x 0065-9266 |z 9780821804841 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 600. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113916 |z Texto completo |
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