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Title: Perturbative nature of color superconductivity

Abstract

Color superconductivity is a possible phase of high density QCD. We present a systematic derivation of the transition temperature T{sub C} from the QCD Lagrangian through study of the di-quark proper vertex. With this approach, we confirm the dependence of T{sub C} on the coupling g, namely T{sub C}{approx}{mu}g{sup -5}e{sup -{kappa}}{sup /g}, previously obtained from the one-gluon exchange approximation in the superconducting phase. The diagrammatic approach we employ allows us to examine the perturbative expansion of the vertex and the propagators. We find an additional O(1) contribution to the prefactor of the exponential from the one-loop quark self energy and that the other one-loop radiative contributions and the two gluon exchange vertex contribution are subleading. (c) 2000 The American Physical Society.

Authors:
 [1];  [1];  [2];  [1];  [2]
  1. Department of Physics, The Rockefeller University, 1230 York Avenue, New York, New York 10021 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
20216467
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 61; Journal Issue: 11; Other Information: PBD: 1 Jun 2000; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COLOR MODEL; QUANTUM CHROMODYNAMICS; SUPERCONDUCTIVITY; TRANSITION TEMPERATURE; COUPLING CONSTANTS; PERTURBATION THEORY; VERTEX FUNCTIONS; PROPAGATOR; SELF-ENERGY; RADIATIVE CORRECTIONS; QUARKS; THEORETICAL DATA

Citation Formats

Brown, William E., Liu, James T., Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109, Ren, Hai-cang, and Department of Natural Science, Baruch College of CUNY, New York, New York 10010. Perturbative nature of color superconductivity. United States: N. p., 2000. Web. doi:10.1103/PhysRevD.61.114012.
Brown, William E., Liu, James T., Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109, Ren, Hai-cang, & Department of Natural Science, Baruch College of CUNY, New York, New York 10010. Perturbative nature of color superconductivity. United States. doi:10.1103/PhysRevD.61.114012.
Brown, William E., Liu, James T., Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109, Ren, Hai-cang, and Department of Natural Science, Baruch College of CUNY, New York, New York 10010. Thu . "Perturbative nature of color superconductivity". United States. doi:10.1103/PhysRevD.61.114012.
@article{osti_20216467,
title = {Perturbative nature of color superconductivity},
author = {Brown, William E. and Liu, James T. and Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109 and Ren, Hai-cang and Department of Natural Science, Baruch College of CUNY, New York, New York 10010},
abstractNote = {Color superconductivity is a possible phase of high density QCD. We present a systematic derivation of the transition temperature T{sub C} from the QCD Lagrangian through study of the di-quark proper vertex. With this approach, we confirm the dependence of T{sub C} on the coupling g, namely T{sub C}{approx}{mu}g{sup -5}e{sup -{kappa}}{sup /g}, previously obtained from the one-gluon exchange approximation in the superconducting phase. The diagrammatic approach we employ allows us to examine the perturbative expansion of the vertex and the propagators. We find an additional O(1) contribution to the prefactor of the exponential from the one-loop quark self energy and that the other one-loop radiative contributions and the two gluon exchange vertex contribution are subleading. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevD.61.114012},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 61,
place = {United States},
year = {2000},
month = {6}
}