Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly

Grahl, Mara; Rischke, Dirk H.

doi:10.1103/physrevd.88.056014

Cited by 51 publications

(45 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the presence of the axial anomaly in terms of the 't Hooft determinant this transition is expected to be of second order in the O(4) universality class [21]. If, however, the U (1) A -symmetry were restored at the chiral transition, a first order transition or a second order transition in the universality class of U (2) L × U (2) R /U (2) A could take place [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Pion andη-meson mass splitting at the two-flavor chiral crossover

Heller¹,

Mitter²

2016

Phys. Rev. D

View full text Add to dashboard Cite

We study the splitting in the screening mass of pions and the η-meson across the chiral crossover. This splitting is determined by the 't Hooft determinant. We use results for the renormalisation group scale dependence of the 't Hooft determinant obtained within the functional renomalisation group in quenched QCD with two flavours. The scale dependence of the 't Hooft determinant is mapped to its temperature dependence with the help of a Polyakov-quark-meson model. As a result we obtain the temperature dependence of the splitting in the screening mass of pions and the η-meson.

show abstract

Section: Introductionmentioning

confidence: 99%

Pion andη-meson mass splitting at the two-flavor chiral crossover

Heller¹,

Mitter²

2016

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…The breaking of the U(1) A symmetry at finite T , and its role at the chiral transition, has been much investigated [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Monte Carlo (MC) simulations of lattice QCD [17][18][19][20][21][22][23][24][25] find a substantial suppression of the U(1) A anomaly effects at large T , as predicted by the DIG model.…”

Section: Introductionmentioning

confidence: 99%

Relevance of the axial anomaly at the finite-temperature chiral transition in QCD

2013

View full text Add to dashboard Cite

We investigate the nature of the finite-temperature chiral transition in QCD with two light flavors, in the case of an effective suppression of the U(1)A symmetry breaking induced by the axial anomaly, which implies the symmetry breaking U(2)L ⊗ U(2)R → U(2)V , instead of SU(2)L ⊗ SU(2)R → SU(2)V . For this purpose, we perform a high-order field-theoretical perturbative study of the renormalization-group flow of the corresponding three-dimensional multiparameter Landau-Ginzburg-Wilson Φ 4 theory with the same symmetry-breaking pattern. We confirm the existence of a stable fixed point, and determine its attraction domain in the space of the bare quartic parameters. Therefore, the chiral QCD transition might be continuous also if the U(1)A symmetry is effectively restored at Tc. However, the corresponding universality class differs from the O(4) vector universality class which would describe a continuous transition in the presence of a substantial U(1)A symmetry breaking at Tc. We estimate the critical exponents of the U(2)L ⊗ U(2)R → U(2)V universality class by computing and analyzing the corresponding perturbative expansions. These results are important to discriminate among the different scenarios for the scaling behavior of QCD with two light flavors close to the chiral transition.

show abstract

“…O(4) model [9]. However, if the anomaly is already sufficiently restored at T c , the transition is either first or second order with a different symmetry breaking pattern [67,68]. For recent lattice studies of the U A (1) anomaly see, e.g.…”

Section: Universal Critical Behavior and The Qcd Phase Diagrammentioning

confidence: 99%

The phase structure of QCD

Schmidt

Sharma

2017

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

Abstract. We review recent results on the phase structure of QCD and bulk QCD thermodynamics. In particular we discuss how universal critical scaling related to spontaneous breaking of the chiral symmetry manifests itself in recent lattice QCD simulations and how the knowledge on non-universal scaling parameter can be utilized in the exploration of the QCD phase diagram. We also show how various (generalized) susceptibilities can be employed to characterize properties of QCD matter at low and hight temperatures, related to deconfining aspects of the QCD transition. Finally, we address the input these lattice QCD calculation can provide for our under standing of the matter created in heavy ion collisions and in particular on the freeze-out conditions met in the hydrodynamic evolution of this matter.

show abstract

Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly

Cited by 51 publications

References 42 publications

Pion andη-meson mass splitting at the two-flavor chiral crossover

Pion andη-meson mass splitting at the two-flavor chiral crossover

Relevance of the axial anomaly at the finite-temperature chiral transition in QCD

The phase structure of QCD

Contact Info

Product

Resources

About