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Phase Transition in Topologically Massive QED

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Abstract

We study the effects of Chern–Simons term on chiral condensate in (2+1)-dimensional QED. In solving the Dyson–Schwinger equation for the fermion self-energy, we show that there exists a critical value of the topological mass above which the chiral condensate is washed away at zero temperature.

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References

  1. S. Deser, R. Jackiw, S. Templeton, Topologically massive gauge theories. Ann. Phys. 281, 409–449 (2000)

    Article  ADS  Google Scholar 

  2. J.M. Kosterlitz, The critical properties of the two-dimensional xy model. J. Phys. C 7, 1046–1060 (1974)

    Article  ADS  Google Scholar 

  3. C.J. Burden, Bound states from Bethe–Salpeter equation in QED3. Nucl. Phys. B387, 419–446 (1992)

    Article  ADS  Google Scholar 

  4. D.J. Gross, in Method in Field Theory, ed. by R. Balian, J. Zinn-Justin. Application of the renormalization group to high-energy physics (Les Houches, North Holland, 1975), pp. 141–250

  5. T. Maskawa, H. Nakajima, Spontaneous breaking of chiral symmetry in a Vector–Gluon model. Prog. Theo. Phys. 52(4), 1326–1354 (1974). doi:10.1143/PTP.52.1326

  6. C.S. Fisher, R. Alkofer, T. Dham, P. Maris, Dynamical breaking of chiral symmetry in unquenched QED\(_{3}\). Phys. Rev. D 70, 073007 (2004)

    Article  ADS  Google Scholar 

  7. K.I. Kondo, P. Maris, Spontaneous chiral symmetry breaking in three-dimensional QED with a Chern-Simons term. Phys. Rev. D 52, 1212 (1995)

    Article  ADS  Google Scholar 

  8. S.S. Madrigal, C.P. Hofmann, A. Raya, Dynamical mass generation and confinement in Maxwell–Chern–Simons planar electrodynamics. J. Phys. Conf. Ser. 287, 012028 (2011)

    Article  Google Scholar 

  9. Y. Hoshino, T. Inagaki, Y. Mizutani, Gauge covariant solution for Schwinger–Dyson equation in 3D QED with a Chern–Simons term. PTEP. 023B03 (2015)

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Authors and Affiliations

  1. Kushiro National College of Technology, Otanoshike-nishi 2-32-1, Kushiro City, Hokkaido, 084, Japan

    Yuichi Hoshino

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  1. Yuichi Hoshino
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Correspondence to Yuichi Hoshino.

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This article belongs to the Topical Collection “Light Cone 2016”.

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Hoshino, Y. Phase Transition in Topologically Massive QED. Few-Body Syst 58, 129 (2017). https://doi.org/10.1007/s00601-017-1279-1

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  • DOI: https://doi.org/10.1007/s00601-017-1279-1

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