Published December 2009
| Version v1
Journal article
Eigenvalue Density of Wilson Loops in 2D SU(N) Yang-Mills Theory at Large N
Creators
- 1. Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg (Germany)
Description
The eigenvalue density of a Wilson loop matrix W associated with a simple loop in two-dimensional Euclidean SU(N) Yang-Mills theory undergoes a phase transition at a critical size in the infinite-N limit. The averages of det(z - W)-1 and det(1 + uW)/(1 - vW) at finite N lead to two different smoothed out expressions. It is shown by a saddle-point analysis that both functions tend to the known singular result at infinite N. (author)
Availability note (English)
Also available at http://th-www.if.uj.edu.pl/acta/supplement.htmAdditional details
Additional titles
- Augmented title (English)
- PACS numbers: 11.15.Ha, 11.15.Pg
Identifiers
Publishing Information
- Journal Title
- Acta Physica Polonica. Series B, Proceedings Supplement
- Journal Volume
- 2
- Journal Issue
- 3
- Journal Page Range
- p. 473-487
- ISSN
- 1899-2358
Conference
- Title
- 49. Cracow School of Theoretical Physics on Non-Perturbative Gravity and Quantum Chromodynamics
- Dates
- 31 May - 10 Jun 2009
- Place
- Zakopane (Poland)
INIS
- Country of Publication
- Poland
- Country of Input or Organization
- Poland
- INIS RN
- 41048692
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CASIMIR OPERATORS; EIGENVALUES; PHASE TRANSFORMATIONS; SADDLE-POINT METHOD; SU GROUPS; WILSON LOOP; YANG-MILLS THEORY
- Descriptors DEC
- CALCULATION METHODS; LIE GROUPS; MATHEMATICAL OPERATORS; SYMMETRY GROUPS
Optional Information
- Contract/Grant/Project number
- DOE Grant DE-FG02-01ER41165
- Notes
- 11 refs., 7 figs.
- Funding organization
- United States Department of Energy (United States)