Nonperturbative quark, gluon, and meson correlators of unquenched QCD

Cyrol, Anton K.; Mitter, Mario; Pawlowski, Jan M.; Strodthoff, Nils

doi:10.1103/physrevd.97.054006

Cited by 206 publications

(436 citation statements)

References 105 publications

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“…Thus, the dominance of the scalar-pseudoscalar coupling indicating chiral symmetry breaking is solely generated by quark-gluon dynamics. This is in line with earlier RG flow studies of QCD in the vacuum limit [19,20] and it has indeed been observed that this dominance entails the formation of a corresponding chiral condensate [20,21] governing the low-energy dynamics.…”

Section: A Symmetry Breaking Patternssupporting

confidence: 91%

Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

2020

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Our understanding of the dynamics and the phase structure of dense strong-interaction matter is to a large extent still built on the analysis of low-energy models, such as those of the Nambu-Jona-Lasinio-type. In this work, we analyze the emergence of the latter class of models at intermediate and low energy scales from fundamental quark-gluon interactions. To this end, we study the renormalization group flow of a Fierz-complete set of four-quark interactions and monitor their strength at finite temperature and quark chemical potential. At small quark chemical potential, we find that the scalar-pseudoscalar interaction channel is dynamically rendered most dominant by the gauge degrees of freedom, indicating the formation of a chiral condensate. Moreover, the inclusion of quark-gluon interactions leaves a significant imprint on the dynamics as measured by the curvature of the finite-temperature phase boundary which we find to be in accordance with lattice QCD results. At large quark chemical potential, we then observe that the dominance pattern of the fourquark couplings is changed by the underlying quark-gluon dynamics, without any fine-tuning of the four-quark couplings. In this regime, the scalar-pseudoscalar interaction channel becomes subleading and the dominance pattern suggests the formation of a chirally symmetric diquark condensate. In particular, our study confirms the importance of explicit UA(1) breaking for the formation of this type of condensate at high densities.

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Section: A Symmetry Breaking Patternssupporting

confidence: 91%

Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

2020

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“…Note also that Yang-Mills theory exhibits an infrared mass gap with the scale Λ QCD due to its confining dynamics. In covariant gauges, as used in the present work, this mass gap results in a mass gap in the gluon propagator, for a treatment within the current functional renormalization group (FRG) approach, see [109,110] and references therein. This dynamical gaping may be simulated here by simply identifying the infrared cutoff scale with Λ QCD .…”

Section: B Asymptotic Freedom In Yang-mills With Gravitymentioning

confidence: 99%

Asymptotic safety of gravity with matter

et al. 2018

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We study the asymptotic safety conjecture for quantum gravity in the presence of matter fields. A general line of reasoning is put forward explaining why gravitons dominate the high-energy behavior, largely independently of the matter fields as long as these remain sufficiently weakly coupled. Our considerations are put to work for gravity coupled to Yang-Mills theories with the help of the functional renormalization group. In an expansion about flat backgrounds, explicit results for beta functions, fixed points, universal exponents, and scaling solutions are given in systematic approximations exploiting running propagators, vertices, and background couplings. Invariably, we find that the gauge coupling becomes asymptotically free while the gravitational sector becomes asymptotically safe. The dependence on matter field multiplicities is weak. We also explain how the scheme dependence, which is more pronounced, can be handled without changing the physics. Our findings offer a new interpretation of many earlier results, which is explained in detail. The results generalize to theories with minimally coupled scalar and fermionic matter. Some implications for the ultraviolet closure of the Standard Model or its extensions are given.

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“…Second, being exact equations, they can only be solved once approximations are made because they form an infinitely large system of equations. In the vacuum, several studies indicate that the system has favorable convergence properties [25,[45][46][47][48][49]. However, in the medium the corresponding level of truncation is not reached yet, and once it is, it is not guaranteed that the convergence properties remain the same.…”

Section: Introductionmentioning

confidence: 99%

Dense two-color QCD from Dyson-Schwinger equations

Contant

Huber

2020

Phys. Rev. D

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We investigate quantum chromodynamics with two colors at nonvanishing density using Dyson-Schwinger equations. Lattice methods do not have a complex action problem in this theory. Thus, we can benchmark our results and the effect of truncations directly by comparing with the corresponding lattice results. We do so for the gluon propagator, the chiral condensate and the quark number density and test variations of the employed truncation to improve the agreement. Finally, we compare the effect of a truncation on the chiral and confinement/deconfinement transitions in the phase diagrams of QCD and QCD with the gauge groups SU (2) and G2.

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Nonperturbative quark, gluon, and meson correlators of unquenched QCD

Cited by 206 publications

References 105 publications

Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

Asymptotic safety of gravity with matter

Dense two-color QCD from Dyson-Schwinger equations

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