Chiral symmetry breaking in three-dimensional QED with four-Fermi interactions at finite temperature

Sin Kyu Kang; Jae Kwan Kim

doi:10.1103/PhysRevD.48.915

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Chiral symmetry breaking in three-dimensional QED with four-Fermi interactions at finite temperature

Sin Kyu Kang and Jae Kwan Kim

Department of Physics, Korea Advanced Institute of Science and Technology, 373-1, Kusung-dong, Yusung-ku, Taejon, Korea

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Phys. Rev. D 48, 915 – Published 15 July, 1993

DOI: https://doi.org/10.1103/PhysRevD.48.915

Abstract

Using the $\frac{1}{N}$ expansion, we study dynamical chiral symmetry breaking in three-dimensional QED with four-Fermi interactions at finite temperature. We numerically solve the temperature-dependent Schwinger-Dyson equation for the fermion self-energy and obtain the solutions which depend on momentum as well as temperature. We find a critical temperature above which chiral symmetry is restored. The results show the existence of a critical $N$ which depends on temperature. The phase diagram for dynamical mass generation is shown in the $N - g$ plane.

References (16)

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[c1] R. Pisarski, Phys. Rev. D 29, 2423 (1984)

[c2] T. Appelquist, J. M. Bowick, E. Cohler, and L. C. R. Wijewardhana, Phys. Rev. Lett. 55, 1715 (1985) T. Appelquist, J. M. Bowick, D. Karabali, and L. C. R. Wijewardhana, Phys. Rev. D 33, 3074 (1986) T. Appelquist, D. Nash, and L. C. R. Wijewardhana, Phys. Rev. Lett. 60, 2575 (1988)

[c3] D. Nash, Phys. Rev. Lett. 62, 3024 (1989)

[c4] A. Kovner and B. Rosenstein, Phys. Rev. B 42, 4748 (1990) N. Dorey and N. E. Mavromatos, Phys. Lett. B 250, 107 (1990) G. W. Semenoff and N. Weiss, ibid. 250, 117 (1990)

[c5] N. Dorey and N. E. Mavromatos, Nucl. Phys. B386, 614 (1992)

[c6] B. Rosenstein, B. J. Warr, and S. H. Park, Phys. Lett. B 218, 465 (1989) ibid.219, 469 (1989) Phys. Rev. D 39, 3088 (1989)

[c7] U. Mahanta, Phys. Rev. D 44, 3356 (1991)

[c8] M. Carena, T. E. Clark, and C. E. M. Wagner, Phys. Lett. B 259, 128 (1991) Nucl. Phys. B356, 117 (1991)

[c9] G. W. Semenoff and L. C. R. Wijewardhana, Phys. Rev. D 45, 1342 (1992)

[c10] A. Kocic, Phys. Lett. B 189, 449 (1987)

[c11] N. Dorey and N. E. Mavromatos, Phys. Lett. B 266, 163 (1991)

[c12] N. Dorey and N. E. Mavromatos, Phys. Lett. B 294, 91 (1992)

[c13] S. K. Kang and J. K. Kim, Phys. Rev. D 46, 5671 (1992)

[c14] G. W. Semenoff and L. C. R. Wijewardhana, Phys. Rev. Lett. 63, 2633 (1989)

[c15] R. Jackiw and S. Templeton, Phys. Rev. D 23, 2291 (1981)

[c16] L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974)

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Chiral symmetry breaking in three-dimensional QED with four-Fermi interactions at finite temperature

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References (16)

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