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Effective chiral lagrangian from QCD at nonzero chemical potential

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Álvarez Estrada, Ramón F. and Gómez Nicola, Ángel (1995) Effective chiral lagrangian from QCD at nonzero chemical potential. Physics letters B, 355 (1-2). pp. 288-294. ISSN 0370-2693

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Official URL: http://dx.doi.org/10.1016/0370-2693(95)00734-3


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Abstract

We start from the euclidean QCD action for gluons and massless quarks with N_c colours at finite baryon chemical potential μ_B and zero temperature. For μ_B of the order of external momenta o(p) we derive an euclidean effective real chiral lagrangian at finite μ_B, up to and including o(pˆ4), in terms of Goldstone Bosons (GB), in the large N_c limit, including gluon contributions. Our effective action generalizes non-trivially the one obtained for μ_B = 0 by previous authors, and it includes new μ_B -dependent terms. In particular, a topological term μ_B N_B is found, N_B being the baryon number in terms of GB fields with the correct normalization factor. Physical implications of the remaining μ_B -dependent terms are discussed briefly.


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© 1995 Elsevier Science B.V..
We thank Prof. A. Dobado for useful information. The financial supports of CICYT (Proyecto AEN93-0776), Spain, and Human Capital and Mobility Programme, European Commission (Contract ERBCHRXCT940423), Brussels, are acknowledged.

Uncontrolled Keywords:Finite-temperature; Resonance physics; Current-algebra; Gauge-theories; Quark; Anomalies; Density; Pion
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:30677
Deposited On:05 Jun 2015 10:00
Last Modified:10 Dec 2018 15:10

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