Publication: Effective chiral lagrangian from QCD at nonzero chemical potential
Loading...
Official URL
Full text at PDC
Publication Date
1995-07
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Citations
Exportar
Abstract
We start from the euclidean QCD action for gluons and massless quarks with N_c colours at finite baryon chemical potential ps and zero temperature. For μ_B of the order of external momenta o(p) we derive an euclidean effective real chiral lagrangian at finite pe, up to and including o(p^4), 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.
Description
© 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.
UCM subjects
Unesco subjects
Keywords
Citation
[1] J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158 (1984); Nucl. Phys B 250 (1985) 465, 517,539.
[2] A.A. Andrianov and L. Bonora, Nucl. Phys. B 233 (1984) 232; A.A. Andrianov, Phys. I&t. B 157 (1985) 425.
[3] N.I. Karchev and A.A. Slavnov, Theor. Mat. Phys. 65 (1985) 192.
[4] D. Espriu, E. de Rafael and J. Taron, Nucl. Phys. B 345 (1990) 22.
[5] J. Bijnens, Nucl. Phys. B 367 (1991) 709.
[6] A. Schenk, Phys. Rev. D 47 (1993) 5138.
[7] P Gerber and H. Leutwyler, Nucl. Phys. B 321 (1989) 387.
[8] A. Barducci, R. Casalbuoni, S. de Curtis, R. Gatto and G. Pettini, Phys. Rev. D 41 (1990) 1610.
[9] G.E. Brown and M. Rho, Phys. Rev. Lett. 66 (1991) 2720; C. Adami and G.E. Brown, Phys. Rep. 234 (1993) 1, and references therein.
[10] V. Bernard, U.G. Meissner and I. Zahed, Phys. Rev. D 36 (1987) 819.
[11] C.W. Bernard, Phys. Rev. D 9 (1974) 3312.
[12] PD. Morley and M.B. Kislinger, Phys. Rep. 51 (1979) 63.
[13] N.P. Landsman and Ch.G. Van Weert, Phys. Rep. 145 ( 1987) 1941.
[14] J. Wess and B. Zumino, Phys. Lett. B 37 (1971) 95; L. Alvarez-Gaumé and P. Ginsparg, Ann. Phys. 161 (1985) 423.
[15] E. Witten, Nucl. Phys. B 223 (1983) 422, 433.
[16] A. Manohar and H. Georgi, Nucl. Phys. B 234 ( 1984) 189.
[17] J. Donogue, E. Golowich and B.R. Holstein, Dynamics of the standard model, Cambridge University Press, 1994.
[18] R.D. Ball, Phys. Rep. 182 (1989) 1.
[19] K. Fnjikawa, Phys. Rev. D 21 (1980) 2848; D 29 (1984) 285.
[20] A. Gómez Nicola and RF Álvarez-Estrada, Int. J. Mod. Phys. A 9 (1994) 1423.
[21] RF. Álvarez-Estrada, A. Dobado and A. Gómez Nicola, Phys. Len. B 324 (1994) 345.
[22] M.A. Shifman, AI. Vainshtein and V.I. Zakharov, Nucl. Phys. B 147 (1979) 385, 448.
[23] R.A. Bertlmann, C.A. Domínguez, M. Loewe, M. Perrottet and E. de Rafael, Z. Phys. C 39 (1988) 231.