Fluctuation instability of the Dirac Sea in quark models of strong interactions

Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S106377881602023X· OSTI ID:22612682

Molodtsov, S. V. ^[1]

---

1. Joint Institute for Nuclear Research (Russian Federation)

A number of exactly integrable (quark) models of quantum field theory that feature an infinite correlation length are considered. An instability of the standard vacuum quark ensemble, a Dirac sea (in spacetimes of dimension higher than three), is highlighted. It is due to a strong ground-state degeneracy, which, in turn, stems from a special character of the energy distribution. In the case where the momentumcutoff parameter tends to infinity, this distribution becomes infinitely narrow and leads to large (unlimited) fluctuations. A comparison of the results for various vacuum ensembles, including a Dirac sea, a neutral ensemble, a color superconductor, and a Bardeen–Cooper–Schrieffer (BCS) state, was performed. In the presence of color quark interaction, a BCS state is unambiguously chosen as the ground state of the quark ensemble.

• OSTI ID: 22612682
• Journal Information: Physics of Atomic Nuclei, Vol. 79, Issue 2; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BCS THEORY
ENERGY SPECTRA
GROUND STATES
INSTABILITY
QUANTUM FIELD THEORY
QUARK MODEL
STRONG INTERACTIONS
SUPERCONDUCTORS
FUNDAMENTAL INTERACTIONS