Published August 15, 2010
| Version v1
Journal article
Renormalized large-n solution of the U(n)xU(n) linear sigma model in the broken symmetry phase
Creators
- 1. Department of Atomic Physics, Eoetvoes University, H-1117 Budapest (Hungary) and Research Group for Statistical and Biological Physics of the Hungarian Academy of Sciences, H-1117 Budapest (Hungary)
- 2. Department of Atomic Physics, Eoetvoes University, H-1117 Budapest (Hungary)
Description
Dyson-Schwinger equations for the U(n)xU(n) symmetric matrix sigma model reformulated with two auxiliary fields in a background breaking the symmetry to U(n) are studied in the so-called bare vertex approximation. A large n solution is constructed under the supplementary assumption so that the scalar components are much heavier than the pseudoscalars. The renormalizability of the solution is investigated by explicit construction of the counterterms.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.82.045011;
- arXiv
- arXiv:1005.1382v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 82
- Journal Issue
- 4
- Journal Page Range
- p. 045011-045011.13
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42015394
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- APPROXIMATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PSEUDOSCALARS; SCHWINGER FUNCTIONAL EQUATIONS; SIGMA MODEL; SYMMETRY; SYMMETRY BREAKING; U GROUPS
- Descriptors DEC
- BOSON-EXCHANGE MODELS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; PERIPHERAL MODELS; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2010 American Institute of Physics