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arXiv · 1605.03740

Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge

H. Reinhardt·P. Vastag
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Abstract

The chiral and deconfinement phase transitions are investigated within the variational Hamiltonian approach to QCD in Coulomb gauge. The temperature $\beta^{- 1}$ is introduced by compactifying a spatial dimension. Thereby the whole temperature dependence is encoded in the vacuum state on the spatial manifold $\mathbb{R}^2 \times S^1 (\beta)$. The chiral quark condensate and the dual quark condensate (dressed Polyakov loop) are calculated as function of the temperature. From their inflection points the pseudo-critical temperatures for the chiral and deconfinement crossover transitions are determined. Using the zero-temperature quark and gluon propagators obtained within the variational approach as input, we find $168 \, \mathrm{MeV}$ and $196 \, \mathrm{MeV}$, respectively, for the chiral and deconfinement transition.

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H. Reinhardt, P. Vastag. 2016-05-12. Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge. https://doi.org/10.1103/physrevd.94.105005

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