An exploratory study of Yang-Mills three-point functions at non-zero temperature

Huber, Markus Q.

doi:10.1051/epjconf/201713707009

Cited by 9 publications

(9 citation statements)

References 49 publications

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“…We find that the zero crossing persists in the magnetic dressing function for all temperatures. This stands in line with [73] but in contrast to [72], where the lowest investigated momenta show a positive sign at temperatures somewhat below the critical temperature. Here, we present an analytical argument for the persistence of the magnetic zero crossing at all temperatures.…”

Section: Three-gluon Vertex and Its Zero Crossingsupporting

confidence: 82%

“…The magnetic three-gluon vertex dressing function has been studied on the lattice [72] and with a semi-perturbative approximation of its DSE [73]. Both studies show a significant enhancement of the magnetic dressing at low momenta p ≈ 0.2 GeV for temperatures just below the critical temperature.…”

Section: Three-gluon Vertex and Its Zero Crossingmentioning

confidence: 99%

“…While vacuum Yang-Mills correlation functions have been studied intensively in the past two decades [2,, results for the finite-temperature correlation functions are scarce; see [61][62][63][64][65][66][67][68][69][70][71] for propagator studies. For the vertices, the situation is even less satisfactory and only exploratory studies exist [72,73].…”

Section: Introductionmentioning

confidence: 99%

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Nonperturbative finite-temperature Yang-Mills theory

et al. 2018

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We present nonperturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three-and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.

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Section: Three-gluon Vertex and Its Zero Crossingsupporting

confidence: 82%

Section: Three-gluon Vertex and Its Zero Crossingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonperturbative finite-temperature Yang-Mills theory

et al. 2018

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“…At finite temperature and chemical potential, however, explicit calculations are still only on an exploratory level with first results discussed in Ref. [126,276,277] (see Ref. [278] for corresponding exploratory results for the ghost-gluon vertex at finite temperature).…”

Section: General Considerationsmentioning

confidence: 99%

QCD at finite temperature and chemical potential from Dyson–Schwinger equations

Fischer

2019

Progress in Particle and Nuclear Physics

278

236

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We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related transitions in QCD, chiral symmetry restoration and deconfinement, leads to a rich phenomenology when external parameters such as quark masses, volume, temperature and chemical potential are varied. We discuss the progress in this field from a theoretical perspective, focusing on non-perturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We aim at a pedagogical overview on the physics associated with the structure of this framework and explain connections to other approaches, in particular with the functional renormalization group and lattice QCD. We discuss various aspects associated with the variation of the quark masses, assess recent results for the QCD phase diagram including the location of a putative critical end-point for N f = 2 + 1 and N f = 2 + 1 + 1, discuss results for quark spectral functions and summarise aspects of QCD thermodynamics and fluctuations.

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“…But even for manually manageable cases a computer-assisted derivation is very useful. Examples for the usage of DoFun include Yang-Mills theory and QCD in various gauges in vacuum, e.g., and beyond, e.g., [53][54][55][56], effective models for QCD, e.g., [56][57][58][59][60][61][62][63], asymptotic gravity [64] and other models [65]. DoFun is often used in combination with other programs like Form [24][25][26][27], FormTracer [22], CrasyDSE [21] or xPert [66].…”

Section: Introductionmentioning

confidence: 99%

DoFun 3.0: Functional equations in mathematica

Huber

Cyrol

Pawlowski

2020

Computer Physics Communications

Self Cite

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We present version 3.0 of the Mathematica package DoFun for the derivation of functional equations. In this version, the derivation of equations for correlation functions of composite operators was added. In the update, the general workflow was slightly modified taking into account experience with the previous version. In addition, various tools were included to improve the usage experience and the code was partially restructure for easier maintenance. .70.+k,11.15.Tk Nature of problem: Derivation of functional renormalization group equations, Dyson-Schwinger equations and equations for correlations functions of composite operators in symbolic form which can be translated into algebraic form. Solution method: Implementation of algorithms for the derivations of these equations and tools to transform the symbolic to the algebraic form. Unusual features: The results can be plotted as Feynman diagrams in Mathematica. The output is compatible with the syntax of many other programs and is therefore suitable for further (algebraic) computations.

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An exploratory study of Yang-Mills three-point functions at non-zero temperature

Cited by 9 publications

References 49 publications

Nonperturbative finite-temperature Yang-Mills theory

Nonperturbative finite-temperature Yang-Mills theory

QCD at finite temperature and chemical potential from Dyson–Schwinger equations

DoFun 3.0: Functional equations in mathematica

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