Phase structure of the linear σ model in R1+1
Creators
- 1. Saratov State University, Department of Theoretical and Nuclear Physics, 410601 Saratov (Russian Federation)
- 2. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, 141980 Dubna, Moscow Region (Russian Federation)
Description
The phase structure of the two-dimensional linear σ model is investigated within the method based on canonical transformations and the renormalization group formalism. The phase diagram in the (Y,G) plane is constructed, where Y and G are the Yukawa and boson self-interaction coupling constants. The Hamiltonians describing the system in each phase are obtained. It is shown that the contribution of pseudoscalar fields diminishes the vacuum energy density in the phase with broken chiral symmetry. This results in a rather complicated phase structure of the linear σ model. The most representative features of the phase picture are the dynamical breaking of chiral symmetry for an arbitrary small Yukawa coupling and the presence of critical and triple points in the phase diagram
Additional details
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 52
- Journal Issue
- 10
- Journal Page Range
- p. 6098-6108.
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 27017067
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CANONICAL TRANSFORMATIONS; CHIRAL SYMMETRY; ENERGY DENSITY; HAMILTONIANS; PHASE DIAGRAMS; PHASE STUDIES; RENORMALIZATION; SIGMA MODEL; SYMMETRY BREAKING; TWO-DIMENSIONAL CALCULATIONS; YUKAWA POTENTIAL
- Descriptors DEC
- BOSON-EXCHANGE MODELS; DIAGRAMS; INFORMATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR POTENTIAL; PARTICLE MODELS; PERIPHERAL MODELS; POTENTIALS; QUANTUM OPERATORS; SYMMETRY; TRANSFORMATIONS