Statistical quantization of GUT models and phase diagrams of W condensation for the Universe with finite fermion density

Journal Article · Mon Oct 01 00:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.2363· OSTI ID:6163091

Kalashnikov, O K ^[1]; Razumov, L V ^[2]

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1. Theoretical Physics Institute, University of Minnesota, Minneapolis, MN (USA)
2. Theoretical Physics Department, Lebedev Physical Institute, Leninsky Prospect 53, Moscow (U.S.S.R.) Perez Rojas, H. (Institute of Cybernetics, Mathematics, and Physics, Havana (Cuba))

The problems of statistical quantization for grand-unified-theory models are studied using as an example the Weinberg-Salam model with finite fermion density under the conditions of neutral and electric charge conservation. The relativistic {ital R}{sub {gamma}} gauge with an arbitrary parameter is used and the one-loop effective potential together with its extremum equations are found. We demonstrate (and this is our main result) that the thermodynamic potential obtained from the effective one, after the mass shell for {xi} is used, remains gauge dependent if all temperature ranges (not only the leading high-temperature terms) are considered. The contradiction detected within the calculational scheme is eliminated after the redefinition of the model studied is made with the aid of the terms which are proportional to the non-Abelian'' chemical potential and equal to zero identically when the unitary gauge is fixed. The phase diagrams of the {ital W} condensation are established and all their peculiarities are displayed. We found for the universe with a zero neutral charge density that the {ital W} condensate occurs at any small fermion density {rho} and appears at first near the point of symmetry restoration. For all {rho}{ne}0 this condensate exists only in the finite-temperature domain and evaporates completely or partially when {ital T} goes to zero.

• OSTI ID: 6163091
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 42:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GRAND UNIFIED THEORY
QUANTIZATION
UNIVERSE
FERMIONS
COUPLING CONSTANTS
LAGRANGIAN FUNCTION
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
SCALAR FIELDS
STATISTICAL MECHANICS
SYMMETRY BREAKING
THERMODYNAMIC PROPERTIES
VECTOR FIELDS
W MINUS BOSONS
W PLUS BOSONS
WEINBERG-SALAM GAUGE MODEL
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
PHYSICAL PROPERTIES
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
640106* - Astrophysics & Cosmology- Cosmology
645300 - High Energy Physics- Particle Invariance Principles & Symmetries
645400 - High Energy Physics- Field Theory