Quark ensembles with the infinite correlation length

A number of exactly integrable (quark) models of quantum field theory with the infinite correlation length have been considered. It has been shown that the standard vacuum quark ensemble—Dirac sea (in the case of the space-time dimension higher than three)—is unstable because of the strong degenerac...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2015-01, Vol.120 (1), p.57-72
Main Authors: Zinov’ev, G. M., Molodtsov, S. V.
Format: Article
Language:English
Subjects:
Astrophysics
BCS THEORY
Classical and Quantum Gravitation
COLOR MODEL
Comparative analysis
COMPARATIVE EVALUATIONS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATIONS
Elementary Particles
ENERGY SPECTRA
Fields
FLUCTUATIONS
Gravitation
GROUND STATES
INTEGRAL CALCULUS
Nuclei
Particle and Nuclear Physics
Particles
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUARKS
Relativity Theory
Solid State Physics
SPACE-TIME
SUPERCONDUCTORS
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Summary:A number of exactly integrable (quark) models of quantum field theory with the infinite correlation length have been considered. It has been shown that the standard vacuum quark ensemble—Dirac sea (in the case of the space-time dimension higher than three)—is unstable because of the strong degeneracy of a state, which is due to the character of the energy distribution. When the momentum cutoff parameter tends to infinity, the distribution becomes infinitely narrow, leading to large (unlimited) fluctuations. Various vacuum ensembles—Dirac sea, neutral ensemble, color superconductor, and BCS state—have been compared. In the case of the color interaction between quarks, the BCS state has been certainly chosen as the ground state of the quark ensemble.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776115010185