An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.
Mass sensitivity of the three-flavor chiral phase transition
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abstract
The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model with three dynamical quark flavors is employed. Non-perturbative quantum fluctuations are taken into account with the functional renormalization group. The inherent ambiguities in fixing the low-energy model parameters away from the physical mass point and their consequences for spontaneous chiral symmetry breaking are discussed in detail and a heuristic parameter fixing scheme motivated by chiral perturbation theory is proposed. The influence of vacuum and thermal fluctuations of quarks and mesons on the order of the chiral phase transition is additionally assessed with a mean-field analysis.
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Including mesonic fluctuations beyond mean field in the quark-meson-diquark model substantially modifies the phase structure, with diquark condensation dominating at strong couplings as revealed by pole masses and the Silver-Blaze property.
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Does hot QCD have a conformal manifold in the chiral limit?
An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.
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Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field
Including mesonic fluctuations beyond mean field in the quark-meson-diquark model substantially modifies the phase structure, with diquark condensation dominating at strong couplings as revealed by pole masses and the Silver-Blaze property.