A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.
The Phase Structure of the Polyakov--Quark-Meson Model
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abstract
The relation between the deconfinement and chiral phase transition is explored in the framework of an Polyakov-loop-extended two-flavor quark-meson (PQM) model. In this model the Polyakov loop dynamics is represented by a background temporal gauge field which also couples to the quarks. As a novelty an explicit quark chemical potential and N_f-dependence in the Polyakov loop potential is proposed by using renormalization group arguments. The behavior of the Polyakov loop as well as the chiral condensate as function of temperature and quark chemical potential is obtained by minimizing the grand canonical thermodynamic potential of the system. The effect of the Polyakov loop dynamics on the chiral phase diagram and on several thermodynamic bulk quantities is presented.
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A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.
Reformulation of the PNJL model with gluon quasi-particles treated beyond saddle-point approximation to yield a consistent quasiparticle description of QCD thermodynamics.
Finite-size effects in the nonlocal PNJL model shift the critical end point of magnetized quark matter toward higher chemical potentials and lower temperatures as droplet radius decreases.
Rotation lowers critical temperatures for chiral and deconfinement transitions in the Polyakov linear sigma model under causality constraints, with mechanical properties computed in the homogeneous limit.
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
Review of neutron star dense matter, hadron-quark phase transitions, and potential g-mode signatures in gravitational waves from multimessenger observations.
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Hard cutoff and gauge theories
A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.