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2008

Gapless Dirac Spectrum at High Temperature

Kovacs, Tamas G.

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Using the overlap Dirac operator I show that, contrary to some expectations, even well above the critical temperature there is not necessarily a gap in the Dirac spectrum in pure SU(2) gauge theory.

This happens when the Polyakov loop and the fermion boundary condition combine to give close to periodic boundary condition for the fermions in the time direction.
In this Polyakov loop sector there is a non-vanishing density of Dirac eigenvalues around zero which implies that chiral symmetry is spontaneously broken.
I demonstrate this both directly and also by finding good agreement with the random matrix theory prediction for the distribution of the lowest Dirac eigenvalue.

Gapless Dirac Spectrum at High Temperature · Around

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V. G. Bornyakov, E. M. Ilgenfritz, B. V. Martemyanov and M. Muller-Preussker, arXiv:0809.2142 [hep-lat]
Original
Cited in the paper.

Then

Y. Aoki, Z. Fodor, S. D. Katz and K. K. Szabo, Phys. Lett. B 643
2006
Later among the works it cites.
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2007
Later among the works it cites.
F. Bruckmann, C. Gattringer and C. Hagen, Phys. Lett. B 647
2007
Later among the works it cites.
E. Bilgici, F. Bruckmann, C. Gattringer and C. Hagen, Phys. Rev. D 77
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2008
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F. Synatschke, A. Wipf and K. Langfeld, Phys. Rev. D 77
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