CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY

WANG En-Ke; LI Jia-Rong

Chinese Physics C> 1990, Vol. 14> Issue(11) : 980-990

CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY

WANG En-Ke ^, ,
LI Jia-Rong

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan

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The chiral-symmetry-restoring phase transition in a model with dynamical spontaneous-symmetry-breaking is discussed qualitatively,making use of an approximation method.The selfconsistency equation of the model is established.The condensation and mass of fermions as well as the temperature or density dependence of energy density and specific heat are obtained.It turns out that,in this approximation,the chiral-phase-transition is second order at zero chemical potential and finite temperature; and the transition is first order for both cases at finite temperature and density and at zero temperature and finite density,this moment.the transition temperature or density from broken phase to normal phase differs from that from normal phase to broken phase.

References

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For a review, see, J. cleymans, R. V. Gavai and E. Suhonen, Phys. Rep., 130(1986). 217; Also see, F.Karsch, in Proc. VIth Intern. Conf. on Ultrarelativistic Heavy Ion Collision-Quark Matter 1987, Z. Phys,C38(1988), 147; A. Ukawa, in Proc. 7th Intern. Conf. on Ultra-relativistic Nucleus-Nucleus Collision1988, Nucl. Phys, A489(1989), 227c.[2] J. D. Anand, R. Basu, S. N. Biswas, A. Gopal and S. K. Soni, Phys. Rev., D34(1986), 2133; H. Forkel,A. D. Jackson, M. Rho, C. Weiss, A. Wirzba and H. Bang, Nucl. Phys, A504(1989), 818.[3] S. kawati and H. Miyata, Phys. Rev., D23(1981), 3010; T. Hatsuda and T. Kunihiro, Phys. Rev. Lett.,55(1985), 158; H. Reinhardt and B. V. Dang, J. Phys, G13(1987), 1179; M . Asakawa and K. Yazaki,Nucl. Phys, A504(1989), 668.[4] H. B. Nielsen and M. Nimomiya, Nucl. Phys. B185(1981), 20; Phys. Lett., B105(1981), 219.[5] Liu Baohua and Li Jiarong, Phys. Rev., D37(1988), 190.[6] J. D. Walecka, Ann. Phys, (N. Y.) 83(1974), 491; Phys. Lett., B59(1975), 109.[7] For a review, see, A. D. Linde, Rep. Prog. Phys, 42(1979), 389.[8] See, for example, Tao Huang and Zheng Huang, Phys. Rev., D39(1989), 1213. '[9] D. Lurie, Particle and Field (Interscience, New York) (1968) p. 453; D. Lurie and A. J. Macfarlanc,Phys. Rev., 136B(1964), 816.[10] Y . Nambu and G. Jona-Lasinio, Phys. Rev, 122(1961), 345; 124(1961), 246.

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WANG En-Ke and LI Jia-Rong. CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY[J]. Chinese Physics C, 1990, 14(11): 980-990.

WANG En-Ke and LI Jia-Rong. CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY[J]. Chinese Physics C, 1990, 14(11): 980-990. shu

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Received: 1900-01-01
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沈阳化工大学材料科学与工程学院沈阳 110142

CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY

Corresponding author: WANG En-Ke,

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1990-11-05

Abstract: The chiral-symmetry-restoring phase transition in a model with dynamical spontaneous-symmetry-breaking is discussed qualitatively,making use of an approximation method.The selfconsistency equation of the model is established.The condensation and mass of fermions as well as the temperature or density dependence of energy density and specific heat are obtained.It turns out that,in this approximation,the chiral-phase-transition is second order at zero chemical potential and finite temperature; and the transition is first order for both cases at finite temperature and density and at zero temperature and finite density,this moment.the transition temperature or density from broken phase to normal phase differs from that from normal phase to broken phase.

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CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY

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