The QCD phase diagram from Schwinger–Dyson equations

Gutiérrez, E.; Ahmad, Aftab; Ayala, Alejandro; Bashir, Adnan; Raya, Alfredo

doi:10.1088/0954-3899/41/7/075002

Cited by 25 publications

(20 citation statements)

References 53 publications

(37 reference statements)

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“…Prominent topics are superconducting phases; see, e.g., Nickel, Wambach, and Alkofer (2006) and Alford et al (2008), and the role of strange quarks Müller, Buballa, and Wambach, 2013). Further DS studies investigate the critical line in the QCD phase diagram; see, e.g., Fischer, Luecker, and Mueller (2011), Qin et al (2011), Bashir et al (2012, and Gutierrez et al (2014). Although the DS approach promises insights from a QCD-based framework, no EoS has been obtained to date that covers the whole parameter space required to perform CCSN simulations.…”

Section: H Dyson-schwinger Approachmentioning

confidence: 99%

Equations of state for supernovae and compact stars

et al. 2017

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A review is given of various theoretical approaches for the equation of state (EoS) of dense matter, relevant for the description of core-collapse supernovae, compact stars, and compact star mergers. The emphasis is put on models that are applicable to all of these scenarios. Such EoS models have to cover large ranges in baryon number density, temperature, and isospin asymmetry. The characteristics of matter change dramatically within these ranges, from a mixture of nucleons, nuclei, and electrons to uniform, strongly interacting matter containing nucleons, and possibly other particles such as hyperons or quarks. As the development of an EoS requires joint efforts from many directions, different theoretical approaches are considered and relevant experimental and observational constraints which provide insights for future research are discussed. Finally, results from applications of the discussed EoS models are summarized.

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Section: H Dyson-schwinger Approachmentioning

confidence: 99%

Equations of state for supernovae and compact stars

et al. 2017

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“…Recently, authors of refs. [8][9][10][11] have noticed this problem and modified the gluon propagator. They have added terms in their own way to suppress the influence of the gluon propagator at large µ.…”

Section: Jhep07(2014)014mentioning

confidence: 99%

Locate QCD critical end point in a continuum model study

Shi

Wang

Jiang

et al. 2014

J. High Energ. Phys.

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With a modified chemical potential dependent effective model for the gluon propagator, we try to locate the critical end point (CEP) of strongly interacting matter in the framework of Dyson-Schwinger equations (DSE). Beyond the chiral limit, we find that Nambu solution and Wigner solution could coexist in some area. Using the CornwallJackiw-Tomboulis (CJT) effective action, we show that these two phases are connected by a first order phase transition. We then locate CEP as the end point of the first order phase transition line. Meanwhile, based on CJT effective action, we give a direct calculation for the chiral susceptibility and thereby study the crossover.

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“…In that parameter space also the existence of inhomogeneous phases was investigated [45]. Alternatively, phenomenologically motivated effective interactions combining the gluon propagator and the quark-gluon vertex into a single quantity are also used to study the phase diagram of QCD, e.g., [46][47][48][49]. A result of all these investigations was that the critical point, where the crossover turns into a first order transition line, is at a quark chemical potential larger than the temperature.…”

Section: Introductionmentioning

confidence: 99%

Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories

Contant

Huber

2017

Phys. Rev. D

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We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups SU (2) and G2, for which lattice calculations at nonvanishing chemical potential are possible. Thus, corresponding calculations can provide benchmarks for testing calculations with functional equations. We calculate the quark and gluon propagators and determine the chiral and dual chiral condensates at vanishing density to determine the confinement/deconfinement and chiral transitions, respectively. We can reproduce the expected type of transitions in the quenched and unquenched cases. In general, all three theories react very similarly to modifications of the employed model for the quark-gluon vertex.

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The QCD phase diagram from Schwinger–Dyson equations

Cited by 25 publications

References 53 publications

Equations of state for supernovae and compact stars

Equations of state for supernovae and compact stars

Locate QCD critical end point in a continuum model study

Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories

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