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

Abstract
HTML
Reference
Related

PDF

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.

References

[1]

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.

[1]	LIANG Xiao-Feng , CHEN Huan , CHANG Lei , LIU Yu-Xin . Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED₃. Chinese Physics C, 2007, 31(2): 209-218.
[2]	WU Jian-Feng , XUE Xun . Lorentz-Violating Electrodynamics Model. Chinese Physics C, 2006, 30(10): 950-955.
[3]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[4]	Liu Bo , Shen Pengnian , Jiang Huanqing , Chen Hong . Leptonic Decay 0f J/ψ at Finite Temperature and Densities. Chinese Physics C, 1998, 22(12): 1151-1155.
[5]	SHEN Kun , QIU Zhongping . Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[6]	QIAN Zhi-Xin , ZHONG Wan-Heng , SU Ru-Keng . Yukawa Potential at Finite Temperature and Finite Density. Chinese Physics C, 1993, 17(5): 417-422.
[7]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[8]	DENG Sheng-Hua , LI Jia-Rong . Disappearance of Chiral Soliton Solutions and Chiral Phase Transition at High Temperature. Chinese Physics C, 1993, 17(2): 140-145.
[9]	ZHANG Qing-Lan , QIU Xi-Jun . Glant Monopole and Quadrupole States in a Chiral Breaking Field Theory. Chinese Physics C, 1992, 16(7): 615-622.
[10]	HUANG Jing-Yi , CAI Sheng-Shan , HU Si-Zhu , SU Ru-Keng . Chiral Bag Model at Finite Temperature. Chinese Physics C, 1992, 16(6): 494-498.
[11]	WANG En-Ke , LI Jia-Rong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(4): 344-351.
[12]	CUI Yun-Long , QIU Xi-Jun . THERMOSTATIC PROPERTIES OF NUCLEAR MATTER IN A SATURATING CHIRAL BREAKING FIELD THEORY. Chinese Physics C, 1990, 14(8): 731-738.
[13]	BI Pin-Zhen . KAONS CONDENSATION AT FINITE TEMPEATURE. Chinese Physics C, 1989, 13(3): 219-221.
[14]	WANG En-Ke , LI Jia-Rong . DECONFINEMENT TRANSITION OF NONTOPOLOGICAL SOLITON MODEL AT FINITE TEMPERATURE. Chinese Physics C, 1989, 13(11): 1003-1006.
[15]	SHEN Kun , QIU Zhong-Ping . THE CHIRAL SU(2)_L SU(2)_R σ-MODEL WITH MASSIVE π MESONS. Chinese Physics C, 1989, 13(8): 755-759.
[16]	LV Xiao-Fu , HU Shi-Ke . FRAGMENTATIONAL FUNCTION IN PION INCLUSIVE PROCESSES WITH DYNAMICAL SPONTANEOUS BREAKING. Chinese Physics C, 1988, 12(3): 307-314.
[17]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL (Ⅱ). Chinese Physics C, 1987, 11(2): 182-185.
[18]	ZHU Chao-Yuan , HU Shi-Ke . EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1987, 11(4): 451-461.
[19]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL. Chinese Physics C, 1986, 10(1): 24-31.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2531)
PDF Downloads(475)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article