Abstract
Using a form of the effective potential for composite operators with a variational approach we show that it is possible to get different directions of the chiral phase transition in QCD. Which one occurs depends on the way the Schwinger-Dyson equation for the fermion self-energy is used in the 2-loop term of the effective potential. We must choose the 2-loop term which agrees with phenomenology in each form of the effective potential.
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References
S. Coleman, E. Weinberg: Phys. Rev. D7 (1973) 1888
S. Norimatsu, K. Yamamoto, A. Tanaka: Phys. Rev. D35 (1987) 2009
J. Cornwall, R. Jackiw, E. Tomboulis: Phys. Rev. D10 (1974) 2428
R. Casalbuoni, S. de Curtis, D. Dominici, R. Gatto: a: Phys. Lett. 140B (1984) 357;
ibid. 150B (1985) 295
H. Kleinert: Phys. Lett. 62B (1976) 429; E. Schrauner: Phys. Rev. D16 (1977) 1877; T. Kugo: Phys. Lett. 76B (1978) 625
M. Inoue, H. Katawa, T. Muta, K. Shimizu: Prog. Theor. Phys. 79 (1988) 519
R.W. Haymaker, T. Matsuki, F. Cooper: Phys. Rev. D35 (1987) 2567
P. Castorina, S-Y. Pi: Phys. Rev. D31 (1985) 411
V.P. Gusynin, Yu. A. Sitenko: Z. Phys. C — Particles and Fields 29 (1985) 547
J.C. Montero, V. Pleitez: Z. Phys. C — Particles and Fields 42 (1989) 271
P.I. Fomin, V.P. Gusynin, V.A. Miransky, Yu.A Sitenko: Riv. Nuovo Cimento 6 (1983) 1
K. Symanzik: Commun. Math. Phys 16 (1970) 48
S. Coleman; in: Laws of hadronic matter, A. Zichichi (ed.), New York: Academic 1975
A. Barduci et al.: Phys. Rev. D38 (1988) 238
J.C. Montero, V. Pleitez: Phys. Rev. D35 (1987) 2579
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Montero, J.C., Pleitez, V. Ambiguities in chiral-symmetry breaking using the effective potential approach. Z. Phys. C - Particles and Fields 50, 149–153 (1991). https://doi.org/10.1007/BF01558570
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DOI: https://doi.org/10.1007/BF01558570