Higher order quark-mesonic scattering processes and the phase structure of QCD

Pawlowski, Jan M.; Rennecke, Fabian

doi:10.1103/physrevd.90.076002

Cited by 94 publications

(187 citation statements)

References 56 publications

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“…They are reasonable models only reasonable below a particular momentum cutoff scale Λ, determined by typical hadronic scales. The model has been used in numerous studies of the low-energy phase of QCD and the chiral phase transition [140,141,142,143,144,145,146,28,147,148,149].…”

Section: Quark-meson-modelmentioning

confidence: 99%

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Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics

Klein

2017

Physics Reports

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Finite-volume effects in Quantum Chromodynamics (QCD) have been a subject of much theoretical interest for more than two decades. They are in particular important for the analysis and interpretation of QCD simulations on a finite, discrete space-time lattice. Most of these effects are closely related to the phenomenon of spontaneous breaking of the chiral flavor symmetry and the emergence of pions as light Goldstone bosons. These long-range fluctuations are strongly affected by putting the system into a finite box, and an analysis with different methods can be organized according to the interplay between pion mass and box size. The finite volume also affects critical behavior at the chiral phase transition in QCD. In the present review, I will be mainly concerned with modeling such finite volume effects as they affect the thermodynamics of the chiral phase transition for two quark flavors.I review recent work on the analysis of finite-volume effects which makes use of the quark-meson model for dynamical chiral symmetry breaking. To account for the effects of critical long-range fluctuations close to the phase transition, most of the calculations have been performed using non-perturbative Renormalization Group (RG) methods. I give an overview over the application of these methods to a finite volume. The method, the model and the results are put into the context of related work in random matrix theory for very small volumes, chiral perturbation theory for larger volumes, and related methods and approaches. They are applied towards the analysis of finite-volume effects in lattice QCD simulations and their interpretation, mainly in the context of the chiral phase transition for two quark flavors.

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Section: Quark-meson-modelmentioning

confidence: 99%

“…Recent progress in the implementation of momentum-dependent couplings has been made in [218,219,220,221] and in [222,149,223,210].…”

Section: Functional Renormalization Group and Wetterich Equationmentioning

confidence: 99%

Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics

Klein

2017

Physics Reports

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“…In this case, people usually define a quasi-transition temperature by looking at a rapid change for certain observable (as a quasi-order-parameter). In [25], the authors argued that the quasi-transition temperature for a crossover is not uniquely defined and therefore depends on the observable used to define it. Basically any observable that exhibits a non-differentiable behavior at the critical temperature (the temperature at which the phase transition becomes a crossover) can be used to define a quasi-transition temperature for a crossover.…”

Section: Black Hole Thermodynamicsmentioning

confidence: 99%

A refined holographic QCD model and QCD phase structure

Yang

Pei

2014

J. High Energ. Phys.

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Abstract:We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic gauge function and a dilaton potential. A family of analytic solutions is obtained by the potential reconstruction method. We then study its holographic dual QCD model. After fixing the kinetic gauge function by requesting the linear Regge spectrum of mesons, we calculate the free energy to obtain the phase diagram of the holographic QCD model.

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“…Apart from the absence of a fermion sign problem at finite chemical potential, one of the main advantages of the method proposed is that the analytic continuation from Euclidean to Minkowski space-time can be performed in a well-defined and simple way. Moreover, since thermal and quantum fluctuations are taken into account properly within the FRG approach, the method is also well suited to treat critical phenomena like phase transitions [30][31][32][33][34][35][36][37]. Aside from the non-perturbative method, presented here, there are also intriguing phenomenological approaches to address the degeneracy of vector-and axialvector spectral functions based on sum rules and loop expansions of gauged chiral Lagrangians [38,39].…”

Section: Introductionmentioning

confidence: 99%

In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

et al. 2017

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In this work we present first results on vector and axial-vector meson spectral functions as obtained by applying the non-perturbative functional renormalization group approach to an effective lowenergy theory motivated by the gauged linear sigma model. By using a recently proposed analytic continuation method, we study the in-medium behavior of the spectral functions of the ρ and a1 mesons in different regimes of the phase diagram. In particular, we demonstrate explicitly how these spectral functions degenerate at high temperatures as well as at large chemical potentials, as a consequence of the restoration of chiral symmetry. In addition, we also compute the momentum dependence of the ρ and a1 spectral functions and discuss the various time-like and space-like processes that can occur.

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Higher order quark-mesonic scattering processes and the phase structure of QCD

Cited by 94 publications

References 56 publications

Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics

Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics

A refined holographic QCD model and QCD phase structure

In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

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