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Nuclear Theory

arXiv:1503.07124 (nucl-th)
[Submitted on 24 Mar 2015 (v1), last revised 17 Dec 2015 (this version, v2)]

Title:Ginzburg-Landau free energy of crystalline color superconductors: A matrix formalism from solid-state physics

Authors:Gaoqing Cao, Lianyi He
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Abstract:The Ginzburg-Landau (GL) free energy of crystalline color superconductors is important for understanding the nature of the phase transition to the normal quark matter and predicting the preferred crystal structure. So far the GL free energy at zero temperature has only been evaluated up to the sixth order in the condensate. To give quantitative reliable predictions we need to evaluate the higher-order terms. In this work, we present a new derivation of the GL free energy by using the discrete Bloch representation of the fermion field. This derivation introduces a simple matrix formalism without any momentum constraint, which may enable us to calculate the GL free energy to arbitrary order by using a computer.
Comments: Published version, references added
Subjects: Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); Superconductivity (cond-mat.supr-con); High Energy Physics - Phenomenology (hep-ph)
Report number: LA-UR-15-22082
Cite as: arXiv:1503.07124 [nucl-th]
  (or arXiv:1503.07124v2 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.1503.07124
Journal reference: Communications in Theoretical Physics 64, 687-696 (2015)
Related DOI: https://doi.org/10.1088/0253-6102/64/6/687

Submission history

From: Lianyi He [view email]
[v1] Tue, 24 Mar 2015 17:54:18 UTC (16 KB)
[v2] Thu, 17 Dec 2015 14:58:32 UTC (16 KB)
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