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Title: Light cone quantization and Savvidy instability in dense quark matter

Abstract

Solving instability of the Savvidy vacuum in QCD is a longstanding problem. Using light cone quantization, we analyze the problem not in the real confining vacuum but in dense quark matter where gluons interact weakly with each other. We find a stable ferromagnetic ground state of gluons which carry a single longitudinal momentum. Their states are composed as if they are confined in a two-dimensional quantum well. This supports our previous result that gluons form a quantum Hall state in dense quark matter.

Authors:
 [1]
  1. Department of Physics, Nishogakusha University, Ohi Kashiwa Chiba 277-8585 (Japan)
Publication Date:
OSTI Identifier:
21010996
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.034020; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERROMAGNETISM; GLUONS; GROUND STATES; HALL EFFECT; LIGHT CONE; LONGITUDINAL MOMENTUM; QUANTIZATION; QUANTUM CHROMODYNAMICS; QUANTUM WELLS; QUARK MATTER; TWO-DIMENSIONAL CALCULATIONS; VACUUM STATES

Citation Formats

Iwazaki, Aiichi. Light cone quantization and Savvidy instability in dense quark matter. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.034020.
Iwazaki, Aiichi. Light cone quantization and Savvidy instability in dense quark matter. United States. doi:10.1103/PHYSREVD.75.034020.
Iwazaki, Aiichi. Thu . "Light cone quantization and Savvidy instability in dense quark matter". United States. doi:10.1103/PHYSREVD.75.034020.
@article{osti_21010996,
title = {Light cone quantization and Savvidy instability in dense quark matter},
author = {Iwazaki, Aiichi},
abstractNote = {Solving instability of the Savvidy vacuum in QCD is a longstanding problem. Using light cone quantization, we analyze the problem not in the real confining vacuum but in dense quark matter where gluons interact weakly with each other. We find a stable ferromagnetic ground state of gluons which carry a single longitudinal momentum. Their states are composed as if they are confined in a two-dimensional quantum well. This supports our previous result that gluons form a quantum Hall state in dense quark matter.},
doi = {10.1103/PHYSREVD.75.034020},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 75,
place = {United States},
year = {Thu Feb 01 00:00:00 EST 2007},
month = {Thu Feb 01 00:00:00 EST 2007}
}
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