VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE

LOU Sen-Yue; NI Guang-Jiong

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(3) : 228-235

VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE

LOU Sen-Yue ^, ,
NI Guang-Jiong

Physics Department,Ningbo Normal College1 Physics Department,Fudan University,Shanghai

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Abstract：
By means of the coherent state effective potential method,we re-examine the Gross-Neveu (GN) model.A nontrivial autonomous theory is obtained for any N(N is the number of the fermion fields).When N→∞,the theory is equivalent to that obtained by GN.The dynamical symmetry of the autonomous phase will be restored at the critical temperature.The mass of the elementary excitation is N independent but temperature dependent.

References

[1]

K. G. Wilson, Phys. Rev.,D6(1972), 419.[2] P. M. Stevenson, Phys, Rev., D30(1984), 1712; 31(1985), 1386.[3] P. M. Stevenson and R. Tarrach, Phys. Lett., 176B(1986), 436; P. M. Stevenson, B. Alles and R. Tarrach, Phys. Rev., D'35(1987), 2407; P. M. Stevenson, Z. Phys., C35(1987), 467;S-y Lou and G-j Ni, Phys. Rev., D37(1988), 3770;G. A. Hajj and P. M. Stevenson, Phys., D37(1988), 413.[4] G-j Ni, S-y Lou and S-q Chen, Int. J. Mod. Phys.; A3(1988), 1735; Phys. Lett, 200B(1988),161;[5] A.Okopinska, Phys. Rcv., D35(1987),1835; D36(1987), 2417;U.Kaulfuss and M. Altembokum, Phys.Rev., D35(1987), 609;I.Yotsuanagi, Z.Phys., C35(1987), 453.[6] J. I. Latorre and J. Soto, Phys. Rcv., D34(1986), 3111.[7] A. Okopinska, IFT/43/87 (1987 Preprint)[8] S-y Lou and G-j Ni, Commun. Theor. Phys., 12(1989), 83.[9] Y. Nambu and G. Jona-Lasino, Phys. Rev., 122(1961), 345.[10] D. J. Gross and A. Neveu, Phys: Rev., D10(1974), 3235.[11] T. Barnes and G. I. Ghandour, Nucl, Phys., B146(1978), 483; Phys. Rev., D22(1980), 924.[12] P. M. Stevenson and G. A. Hajj, Phys. Rev., D34(1986), 3117.[13] L. Jacobs, Phyt. Rea., DIO(1974), 3956; B. J. Harrington and A. Yildiz, Phys. Rev., D11(1975), 779[14] G-j Ni, Nucl. Phys., B211 (1983), 414[15] L. Dolan and R. Jackiw, Phys. Rev.,D9(1974), 3320[16] I. Roditi, Phys. Lett., 169B(1986), 264.[17] A. Vilenkin, Nucl. Phys., B226(1983), 527.

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LOU Sen-Yue and NI Guang-Jiong. VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE[J]. Chinese Physics C, 1990, 14(3): 228-235.

LOU Sen-Yue and NI Guang-Jiong. VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE[J]. Chinese Physics C, 1990, 14(3): 228-235. shu

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

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VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE

LOU Sen-Yue ^,
NI Guang-Jiong

Corresponding author: LOU Sen-Yue,

Physics Department,Ningbo Normal College1 Physics Department,Fudan University,Shanghai

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-03-05

Abstract: By means of the coherent state effective potential method,we re-examine the Gross-Neveu (GN) model.A nontrivial autonomous theory is obtained for any N(N is the number of the fermion fields).When N→∞,the theory is equivalent to that obtained by GN.The dynamical symmetry of the autonomous phase will be restored at the critical temperature.The mass of the elementary excitation is N independent but temperature dependent.