Thermodynamics of lattice QCD with chiral 4-fermion interactions

J. B. Kogut; J.-F. Lagaë; D. K. Sinclair

doi:10.1103/PhysRevD.58.034504

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Thermodynamics of lattice QCD with chiral 4-fermion interactions

J. B. Kogut

J.-F. Lagaë and D. K. Sinclair

Department of Physics, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801

HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439

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Phys. Rev. D 58, 034504 – Published 30 June, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.034504

Abstract

We have studied lattice QCD with an additional, irrelevant 4-fermion interaction having a $U (1) \times U (1)$ chiral symmetry, at finite temperatures. Adding this 4-fermion term allowed us to work at zero quark mass, which would have otherwise been impossible. The theory with 2 massless staggered quark flavors appears to have a first order finite temperature phase transition at $N_{t} = 4$ for the value of 4-fermion coupling we have chosen, in contrast to what is expected for 2-flavor QCD. The pion screening mass is seen to vanish below this transition, only to become massive and degenerate with the σ ${(f}_{0})$ above this transition where the chiral symmetry is restored, as is seen by the vanishing of the chiral condensate.

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[c1] F. Karsch and E. Laermann, Phys. Rev. D 50, 6954 (1994).

[c2] T. Blum et al., Phys. Rev. D 51, 5153 (1995); ibid.C. Bernard et al., 55, 6861 (1997).

[c3] C. Bernard et al., Phys. Rev. D 54, 4585 (1996).

[c4] S. Gottlieb et al., Phys. Rev. D 55, 6852 (1997).

[c5] A. Ukawa, Nucl. Phys. B (Proc. Suppl.) 53, 106 (1997).

[c6] K. Kanaya, Nucl. Phys. B (Proc. Suppl.) 47, 144 (1996).

[c7] F. Karsch, Nucl. Phys. B (Proc. Suppl.) 34, 63 (1994).

[c8] D. J. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974).

[c9] Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961).

[c10] K. I. Kondo, H. Mino, and K. Yamawaki, Phys. Rev. D 39, 2430 (1989).

[c11] R. C. Brower, Y. Shen, and C.-I. Tan, Boston University Report No. BUHEP-94-3 (1994); R. C. Brower, K. Orginos, and C.-I Tan, Nucl. Phys. B (Proc. Suppl.) 42, (1995).

[c12] B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259, 572 (1985).

[c13] T. Blum et al., Phys. Rev. D 55, R1133 (1997).

[c14] S. Hands, A. Kocic and J. B. Kogut, Ann. Phys. (N.Y.) 224, 29 (1993).

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[c17] S. Hands, S. Kim, and J. B. Kogut, Nucl. Phys. B442, 364 (1995).

[c18] R. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984).

[c19] J. B. Kogut, J.-F. Lagae, and D. K. Sinclair, Nucl. Phys. B (Proc. Suppl.) 53, 269 (1997).

[c20] C. Bernard et al., Nucl. Phys. B (Proc. Suppl.) 53, 442 (1997).

[c21] M. Alford et al., Phys. Lett. B 361, 87 (1995).

[c22] P. Hasenfratz and F. Niedermayer, Nucl. Phys. B414, 785(1994).

[c23] J. B. Kogut and D. K. Sinclair, Nucl. Phys. B (Proc. Suppl.) 53, 272 (1997).

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Thermodynamics of lattice QCD with chiral 4-fermion interactions

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