Dynamical mass generation for fermions in quenched quantum electrodynamics at finite temperature

Ayala, Alejandro; Bashir, Adnan

doi:10.1103/physrevd.67.076005

Cited by 13 publications

(16 citation statements)

References 23 publications

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“…In particular, QED4 at high temperature has features equivalent to QED3 with coupling e 2 T . Findings in [3,4] provide vivid examples of this connection.…”

Section: Introductionmentioning

confidence: 90%

Chiral and parity symmetry breaking for planar fermions: Effects of a heat bath and uniform external magnetic field

et al. 2010

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We study chiral symmetry breaking for relativistic fermions, described by a parity-violating Lagrangian in 2 þ 1-dimensions, in the presence of a heat bath and a uniform external magnetic field. Working within their four-component formalism allows for the inclusion of both parity-even and -odd mass terms. Therefore, we can define two types of fermion antifermion condensates. For a given value of the magnetic field, there exist two different critical temperatures which would render one of these condensates identically zero, while the other would survive. Our analysis is completely general: it requires no particular simplifying hierarchy among the energy scales involved, namely, bare masses, field strength, and temperature. However, we do reproduce some earlier results, obtained or anticipated in literature, corresponding to special kinematical regimes for the parity conserving case. Relating the chiral condensate to the one-loop effective Lagrangian, we also obtain the magnetization and the pair production rate for different fermion species in a uniform electric field through the replacement B ! ÀiE.

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“…In particular, QED4 at high temperature has features equivalent to QED3 with coupling e 2 T . Findings in [3,4] provide vivid examples of this connection.…”

Section: Introductionmentioning

confidence: 90%

Chiral and parity symmetry breaking for planar fermions: Effects of a heat bath and uniform external magnetic field

et al. 2010

Self Cite

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“…[P Σ ′ (P ) + Σ(P )] = 0, (45) which shows that the mass function is expected to vanish at large P . Using the approximation P/ P 2 + Σ 2 (P ) ≈ 1 in Eq.…”

Section: Amentioning

confidence: 98%

Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature

Fernández,

Corrêa,

Alves

et al. 2020

Preprint

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We study the dynamical mass generation in Pseudo Quantum Electrodynamics (PQED) coupled to the Gross-Neveu (GN) interaction, in (2+1) dimensions, at both zero and finite temperatures. We start with a gapless model and show that, under particular conditions, a dynamically generated mass emerges. In order to do so, we use a truncated Schwinger-Dyson equation, at the large-N approximation, in the imaginary-time formalism. In the instantaneous-exchange approximation (the static regime), we obtain two critical parameters, namely, the critical number of fermions Nc(T ) and the critical coupling constant αc(T ) as a function of temperature and of the cutoff Λ, which must be provided by experiments. In the dynamical regime, we find an analytical solution for the mass function Σ(p, T ) as well as a zero-external momentum solution for p = 0. We compare our analytical results with numerical tests and a good agreement is found.

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“…We check this by an explicit one loop calculation of these coefficients in the hard thermal loop (HTL) approximation. This work was followed by a numerical study of dynamical mass generation at finite temperature in [43] in the quenched approximation with the bare vertex ansatz. At fixed temperature, masses were found to be dynamically generated above a critical value of the effective coupling.…”

Section: Finite Temperature Studiesmentioning

confidence: 99%

“…At fixed temperature, masses were found to be dynamically generated above a critical value of the effective coupling. Expectedly, when temperature increases, chiral symmetry is found to be restored, [43]. It would be useful to explore the persistence of these qualitative and quantitative predictions with a more sophisticated form of the fermion-photon interaction advocated in [42].…”

Section: Finite Temperature Studiesmentioning

confidence: 99%

Dynamical Mass Generation

Bashir¹,

Raya²

2006

AIP Conference Proceedings

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Understanding the origin of mass, in particular that of the fermions, is one of the most uncanny problems which lie at the very frontiers of particle physics. Although the celebrated Standard Model accommodates these masses in a gauge invariant fashion, it fails to predict their values. Moreover, the mass thus generated accounts for only a very small percentage of the mass which permeates the visible universe. Most of the observed mass is accounted for by the strong interactions which bind quarks into protons and neutrons. How does that exactly happen in its quantitative details is still an unsolved mystery. Lattice formulation of quantum chromodynamics (QCD) or continuum studies of its Schwinger-Dyson equations (SDEs) are two of the non-perturbative means to try to unravel how quarks, starting from negligible current masses can acquire enormously large constituent masses to account for the observed proton and neutron masses. Analytical studies of SDEs in this context are extremely hard as one has to resort to truncation schemes whose quantitative reliability can be established only after a very careful analysis. Let alone the far more complicated realm of QCD, arriving at reliable truncation schemes in simpler scenarios such as quantum electrodynamics (QED) has also proved to be a hard nut to crack. In the last years, there has been an increasing group of physicists in Mexico which is taking up the challenge of understanding how the dynamical generation of mass can be understood in a reliable way through SDEs of gauge theories in various contexts such as (i) in arbitrary space-time dimensions d as well as d ≤ 4, (ii) finite temperatures and (ii) in the presence of magnetic fields. In this article, we summarize some of this work.

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Dynamical mass generation for fermions in quenched quantum electrodynamics at finite temperature

Cited by 13 publications

References 23 publications

Chiral and parity symmetry breaking for planar fermions: Effects of a heat bath and uniform external magnetic field

Chiral and parity symmetry breaking for planar fermions: Effects of a heat bath and uniform external magnetic field

Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature

Dynamical Mass Generation

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