Álvarez Estrada, Ramón F.Gómez Nicola, Ángel2023-06-202023-06-201995-07-270370-269310.1016/0370-2693(95)00734-3https://hdl.handle.net/20.500.14352/59587© 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.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.engjournal articlehttp://dx.doi.org/10.1016/0370-2693(95)00734-3http://www.sciencedirect.com/open access51-73Finite-temperatureResonance physicsCurrent-algebraGauge-theoriesQuarkAnomaliesDensityPionFísica-Modelos matemáticosFísica matemática