Influence of finite chemical potential on the critical number of fermion flavors in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>QED</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>_

Feng, Hong-Tao; Feng-Yao, Hou; He, Xiang; Sun, Weimin; Zong, Hong-Shi

doi:10.1103/physrevd.73.016004

Cited by 43 publications

(31 citation statements)

References 38 publications

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“…This issue will be studied by analyzing the DS equation, which is non-perturbative in nature and provides an ideal tool of describing various phase transitions. Since Nambu and Jona-Lasinio [68], the DS equation approach has been widely applied to study DCSB in QCD [123,124] and QED 3 [125][126][127][128][129][130][131]. It also has been used to examine whether an excitonic gap can be dynamically generated by the Coulomb interaction in graphene [65,[69][70][71][72][73][74][75][76][77][78][79][80][81][82][83] and other closely related materials [41,46,82].…”

Section: Dyson-schwinger Equation Of Excitnonic Gapmentioning

confidence: 99%

Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals

Wang¹,

Liu²,

Zhang³

2017

Phys. Rev. B

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A sufficiently strong long-range Coulomb interaction can induce excitonic pairing in gapless Dirac semimetals, which generates a finite gap and drives semimetal-insulator quantum phase transition. This phenomenon is in close analogy to dynamical chiral symmetry breaking in high energy physics. In most realistic Dirac semimetals, including suspended graphene, Coulomb interaction is too weak to open an excitonic gap. The Coulomb interaction plays a more important role at low energies in a two-dimensional semi-Dirac semimetal, in which the fermion spectrum is linear in one component of momenta and quadratic in the other, than a Dirac semimetal, and indeed leads to breakdown of Fermi liquid theory. We study dynamical excitonic gap generation in a two-dimensional semi-Dirac semimetal by solving the Dyson-Schwinger equation, and show that a moderately strong Coulomb interaction suffices to induce excitonic pairing. Additional short-range four-fermion coupling tends to promote excitonic pairing. Among the available semi-Dirac semimetals, we find that TiO2/VO2 nanostructure provides a promising candidate for the realization of excitonic insulator. We also apply the renormalziation group method to analyze the strong coupling between the massless semi-Dirac fermions and the quantum critical fluctuation of excitonic order parameter at the semimetal-insulator quantum critical point, and reveal non-Fermi liquid behaviors of semi-Dirac fermions.

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Section: Dyson-schwinger Equation Of Excitnonic Gapmentioning

confidence: 99%

Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals

Wang¹,

Liu²,

Zhang³

2017

Phys. Rev. B

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“…Here we apply the following general result proved in Refs. [17,18]: Under the rainbow approximation of the Dyson-Schwinger equation (DSE), if one ignores the µ dependence of the dressed gluon propagator (this is a commonly used approximation in calculating the dressed quark propagator at finite chemical potential [14,[17][18][19][20][21][22][23]) and assumes that the dressed quark propagator at finite µ is analytic in the neighborhood of µ = 0, then the inverse dressed quark propagator at finite chemical potential can be obtained from the one at zero chemical potential by the following simple substitution [17,18]: …”

Section: ∂P(µ) ∂µmentioning

confidence: 99%

“…Using the general result proved in the framework of the rainbow-ladder approximation of the DS approach in Refs. [17,18], G[µ](p) is obtained from this model quark propagator. From this the quark-number density ρ(µ) is calculated, which is found to differ significantly from the Fermi distribution of free quark theory.…”

Section: Now Let Us Calculatementioning

confidence: 99%

Calculation of the equation of state of QCD at finite chemical and zero temperature

Zong

Sun

2008

Phys. Rev. D

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In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the pressure density is the sum of two terms: the first term P(µ)| µ=0 (the pressure density at µ = 0) is a µ-independent constant; the second term, which is totally determined by G R [µ](p) (the renormalized dressed quark propagator at finite µ), contains all the nontrivial µ-dependence. By applying a general result in the rainbow-ladder approximation of the Dyson-Schwinger approach obtained in our previous study [Phys. Rev. C 71, (2005)], G R [µ](p) is calculated from the meromorphic quark propagator proposed in [Phys.Rev. D 70, 014014 (2004)]. From this the full analytic expression of the EOS of QCD at finite µ and zero T is obtained (apart from the constant term P(µ)| µ=0 which can in principle be calculated from the CJT effective action). A comparison between our EOS and the cold, perturbative EOS of QCD of Fraga, Pisarski and Schaffner-Bielich is made. It is expected that our EOS can provide a possible new approach for the study of neutron stars.

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“…where N c and N f represent the number of colors and flavors, respectively, and G½μðpÞ is the quark propagator; furthermore, under the rainbow approximation of the Dyson-Schwinger equations, if we ignore the μ dependence of the dressed gluon propagator and assume that the dressed quark propagator at finite μ is analytic in the neighborhood of μ ¼ 0, then we can obtain the following expression [28,29]:…”

Section: Nonlinear Susceptibilities In the Dses Frameworkmentioning

confidence: 99%

Nonlinear susceptibilities under the framework of Dyson-Schwinger equations

et al. 2014

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Since the baryon-number susceptibilities are correlated with the cumulant of baryon-number fluctuations in experiments, we do calculations of the susceptibilities and compare them with the experimental fluctuation data under the framework of the Dyson-Schwinger equations (DSEs) approach. We compare our results with lattice QCD and experimental data at RHIC. The fitness of the results indicates that under the framework of DSEs, we can deal with the problems of heavy ion collisions properly.

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Influence of finite chemical potential on the critical number of fermion flavors inQED3_

Cited by 43 publications

References 38 publications

Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals

Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals

Calculation of the equation of state of QCD at finite chemical and zero temperature

Nonlinear susceptibilities under the framework of Dyson-Schwinger equations

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