Logarithmic scaling violation and Bose condensation in one-matrix models
Journal Article
·
· Modern Physics Letters A; (Singapore)
- Dept. of Physics, Brown Univ., Providence, RI (US)
In this paper the authors are interested in studying critical behavior of Hermitian one-matrix models where the topological expansion for the free-energy develops a logarithmic singularity, {Gamma} {proportional to} {mu}{sup 2} log {mu}+. The authors consider models where the potential is of the type U(M) = t{sub 0}V{sub 0}(M) {minus} t{sub f} log V{sub f} (M). The authors show that, for t{sub f} {gt} 0 allows the possibility of Bose condensation, which is shown to be responsible for a logarithmic scaling violation for the free energy.
- OSTI ID:
- 5225641
- Journal Information:
- Modern Physics Letters A; (Singapore), Vol. 6:15; ISSN 0217-7323
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PARTICLE MODELS
FREE ENERGY
BOSE-EINSTEIN CONDENSATION
BOSONS
FERMIONS
HERMITIAN OPERATORS
MATRICES
POTENTIALS
SCALING LAWS
SERIES EXPANSION
SINGULARITY
STRUCTURE FUNCTIONS
TOPOLOGY
ENERGY
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
662200* - Specific Theories & Interaction Models
Particle Systematics- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)
Pa
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PARTICLE MODELS
FREE ENERGY
BOSE-EINSTEIN CONDENSATION
BOSONS
FERMIONS
HERMITIAN OPERATORS
MATRICES
POTENTIALS
SCALING LAWS
SERIES EXPANSION
SINGULARITY
STRUCTURE FUNCTIONS
TOPOLOGY
ENERGY
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
662200* - Specific Theories & Interaction Models
Particle Systematics- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)