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Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
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abstract
The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperature T is introduced by compactifying one spatial dimension, which makes all thermodynamical quantities accessible from the ground state on the spatial manifold $\small\mathbb{R}^2 \times S^1(1/T)$. Neglecting the coupling between quarks and transversal gluons, the equations of motion of the quark sector are solved numerically and the chiral quark condensate is evaluated and compared to the results of the usual canonical approach to finite-temperature Hamiltonian QCD based on the density operator of the grand canonical ensemble. For zero bare quark masses, we find a second-order chiral phase transition with a critical temperature of about 92 MeV. If the Coulomb string tension is adjusted to reproduce the phenomenological value of the quark condensate, the critical temperature increases to 118 MeV.
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A large size of the pion-like excitations in the stringy fluid above $T_{ch}$ is model independent and required by current algebra
The author claims that the large swelling of pion-like excitations above the chiral transition is model-independent and required by current algebra, but the proof rests on an unproven two-option dichotomy.
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