Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach

Nickel, Dominik; Alkofer, Reinhard; Wambach, J.

doi:10.1103/physrevd.77.114010

Cited by 14 publications

(29 citation statements)

References 51 publications

(84 reference statements)

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“…Going into details or even listing a complete set of references just for Landau gauge is far beyond the scope of this review. It suffices to say that one can investigate from them a phletora of physical phenomena like, e. g., the dynamical generation of mass [14, 271, 272, 280, 355-358, 365, 366, 368, 369], chiral symmetry breaking and restoration at finite temperature [280,370,371], the deconfinement transition [249,[371][372][373][374], center observables like the Polyakov loop [249,375], conceptual access to the string tension [206][207][208]376], confinement of matter fields [206-208, 375, 377], color-superconducting phases at large densities [239,[378][379][380][381], the Higgs effect [25], and infrared conformality [6,26,382,383], only to mention some. However, already from the brief presentation in figure 36, it can be deduced that the presence …”

Section: Matter Fieldsmentioning

confidence: 99%

Gauge bosons at zero and finite temperature

2013

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Gauge theories of the Yang-Mills type are the single most important building block of the standard model of particle physics and beyond. They are an integral part of the strong and weak interactions, and in their Abelian version of electromagnetism. Since Yang-Mills theories are gauge theories their elementary particles, the gauge bosons, cannot be described without fixing a gauge. Therefore, to obtain their properties a quantized and gauge-fixed setting is necessary.Beyond perturbation theory, gauge-fixing in non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity, which requires the introduction of non-local constraints. The construction and implementation of a method-independent gauge-fixing prescription to resolve this ambiguity is the single most important first step to describe gauge bosons beyond perturbation theory. Proposals for such a procedure, generalizing the perturbative Landau gauge, are described here. Their implementation are discussed for two example methods, lattice gauge theory and the quantum equations of motion.After gauge-fixing, it is possible to study gauge bosons in detail. The most direct access is provided by their correlation functions. The corresponding two-and three-point correlation functions are presented at all energy scales. These give access to the properties of the gauge bosons, like their absence from the asymptotic physical state space, particle-like properties at high energies, and the running coupling. Furthermore, auxiliary degrees of freedom are introduced during gauge-fixing, and their properties are discussed as well. These results are presented for two, three, and four dimensions, and for various gauge algebras.Finally, the modifications of the properties of gauge bosons at finite temperature are presented. Evidence is provided that these reflect the phase structure of Yang-Mills theory. However, it is found that the phase transition is not deconfining the gauge bosons, although the bulk thermodynamical behavior is of a Stefan-Boltzmann type. The resolution of this apparent contradiction is also presented. In addition, this resolution provides an explicit and constructive solution to the Linde problem.Thus, the technical and conceptual framework presented here can be taken as a basis how to determine correlation functions in Yang-Mills theory, therefore opening up the avenue to investigate theories of direct practical relevance. The status of this effort will be briefly described, alongside with connections to other approaches to Yang-Mills theory beyond perturbation theory.

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Section: Matter Fieldsmentioning

confidence: 99%

Gauge bosons at zero and finite temperature

2013

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“…The results of the quark propagator DSE at non-vanishing densities provide evidence that for a realistic renormalized strange quark mass for all values of the chemical potentials above the phase transition, quark matter is in the colour-flavour locked colour-superconducting phase [61]. However, here we have to keep in mind that these investigations are restricted to translationally invariant phases.…”

Section: -P6mentioning

confidence: 99%

“…[59][60][61] is in progress [63]. However, it has to be stated 10 To obtain this figure electric and colour neutrality have been imposed, but this is, however, not decisive for the main result.…”

Section: Color Superconducting Phasementioning

confidence: 99%

“…Refs. [59][60][61] and references therein. It has to be noted that as long as one uses an Abeliantype model for the quark-gluon vertex these difficulties are merely technical obstacles which can be overcome by combining computer algebra with numerical techniques.…”

Section: Color Superconducting Phasementioning

confidence: 99%

“…in Refs. [59][60][61]) and employing the results of functional equations or a combined phenomenological and lattice fit to the gluon propagator (as e.g. in Ref.…”

Section: Color Superconducting Phasementioning

confidence: 99%

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QCD Green's Functions and Phases of Strongly-Interacting Matter

Alkofer

Mitter

Schaefer

2011

EPJ Web of Conferences

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Abstract. After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which way the infrared behavior of the gluon propagator reflects the (de-)confinement transition. Numerical results for the quark propagator are given thereby verifying the relation between (de-)-confinement and dynamical chiral symmetry breaking (restoration). Last but not least some results of DysonSchwinger equations for the color-superconducting phase at large densities are shown.

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On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators

Maas

2011

J. High Energ. Phys.

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Yang-Mills theory can be formulated for any semi-simple Lie algebra, and thus any semi-simple Lie group. In principle, the dynamics could be different for each one. However, functional studies predict that the propagators in Landau gauge depend only quantitatively on the gauge algebra. In particular, genuine non-perturbative effects should be present even in the large N-limit for su(N) gauge algebras. Lattice gauge theory is used to investigate this in detail. The propagators are determined for the gauge groups SU(2), SU(3), SU(4), SU(5), SU(6) and G2, in two and three dimensions. In accordance with the prediction no qualitative dependence on the gauge group is found. In particular, no diminishing of non-perturbative contributions is found for N becoming large in the SU(N) case. Quantitative effects are found, and analyzed in detail.Comment: 33 pages, 14 figures, 4 tables; v2: minor changes, version to appear in JHE

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Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach

Cited by 14 publications

References 51 publications

Gauge bosons at zero and finite temperature

Gauge bosons at zero and finite temperature

QCD Green's Functions and Phases of Strongly-Interacting Matter

On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators

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