The axial anomaly at finite temperature

Itoyama, H.; Mueller, Alfred H.

doi:10.1016/0550-3213(83)90370-x

Cited by 103 publications

(93 citation statements)

References 7 publications

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“…It is independent of the existence of high-energy bands, as well as of the cutoff Λ; it depends on material properties only through the Fermi velocity v hidden in q 2 . Also, the chiral anomaly survives under perturbations that break Lorentz invariance (such as nonzero temperature and chemical potential, or disorder), although the q 2 = 0 pole gets broadened into a resonance 28 .…”

Section: Arxiv:161003073v5 [Cond-matstr-el] 12 Sep 2017mentioning

confidence: 99%

“…As soon as B 0 ·q = 0, a new mode appears due to the anomaly pole, which has quasilinear dispersion. This mode describes particle-hole pairs propagating at the Fermi velocity, and is the analogue of the pseudoscalar boson discussed in high-energy physics 28,34 . Remarkably, the linear mode couples to the optical phonon in the vicinity of q 0 v|q|, somewhat like ordinary photons and optical phonons couple in the vicinity of q 0 c|q|.…”

Section: Arxiv:161003073v5 [Cond-matstr-el] 12 Sep 2017mentioning

confidence: 99%

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Signatures of the Chiral Anomaly in Phonon Dynamics

2017

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Discovered in high-energy physics, the chiral anomaly has recently made way to materials science by virtue of Weyl semimetals (WSM). Thus far, the main efforts to probe the chiral anomaly in WSM have concentrated on electronic phenomena. Here, we show that the chiral anomaly can have a large impact in the A1 phonons of enantiomorphic WSM. In these materials, the chiral anomaly produces an unusual magnetic-field-induced resonance in the effective phonon charge, which in turn leads to anomalies in the phonon dispersion, optical reflectivity, and the Raman scattering.Introduction.-A major recent development in quantum materials has been the discovery of threedimensional Weyl semimetals (WSM) 1 . These materials contain Weyl nodes, i.e. topologically robust points of contact in momentum space between two nondegenerate and linearly-dispersing electronic bands. Weyl nodes are characterized by a quantum number called chirality, referring to the parallel or anti-parallel locking between momentum and spin. WSM have their low-energy electrodynamics governed by pairs of Weyl nodes with the Hamiltonian

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Section: Arxiv:161003073v5 [Cond-matstr-el] 12 Sep 2017mentioning

confidence: 99%

Section: Arxiv:161003073v5 [Cond-matstr-el] 12 Sep 2017mentioning

confidence: 99%

Signatures of the Chiral Anomaly in Phonon Dynamics

2017

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“…Of course this situation will change beyond this order, in particular corrections to next to leading order in the large N c N f limit will lead to scattering corrections and the pion will acquire a collisional width, whose behavior near the critical point must be studied. The collisional width of the pion is an important ingredient in the manifestation of the axial anomaly at finite temperature [32] whose understanding thus requires to go beyond one-loop order, which is the leading order in the large N c N f limit. Furthermore, as we mentioned in the introduction, a well known shortcoming of the NJL model is its lack of confinement [8,9], which is manifest in that free quarks are present in the thermal bath below the critical temperature for chiral symmetry.…”

Section: Conclusion and Summary Of Main Resultsmentioning

confidence: 99%

Nonequilibrium pion dynamics near the critical point in a constituent quark model

Boyanovsky¹,

Vega²,

Wang³

2004

Nuclear Physics A

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We study static and dynamical critical phenomena of chiral symmetry breaking in a two-flavor Nambu-Jona-Lasinio constituent quark model. We obtain the low-energy effective action for scalar and pseudoscalar degrees of freedom to lowest order in quark loops and to quadratic order in the meson fluctuations around the mean field. The static limit of critical phenomena is shown to be described by a Ginzburg-Landau effective action including spatial gradients. Hence static critical phenomena is described by the universality class of the O(4) Heisenberg ferromagnet. Dynamical critical phenomena is studied by obtaining the equations of motion for pion fluctuations. We find that for T < Tc the are stable long-wavelength pion excitations with dispersion relation ωπ(k) = k described by isolated pion poles. The residue of the pion pole vanishes near Tc as Z ∝ 1/| ln(1 − T /Tc)| and long-wavelength fluctuations are damped out by Landau damping on a time scale t rel (k) ∝ 1/k, reflecting critical slowing down of pion fluctuations near the critical point. At the critical point, the pion propagator features mass shell logarithmic divergences which we conjecture to be the harbinger of a (large) dynamical anomalous dimension. We find that while the classical spinodal line coincides with that of the Ginzburg-Landau theory, the growth rate of long-wavelength spinodal fluctuations has a richer wavelength dependence as a consequence of Landau damping. We argue that Landau damping prevents a local low energy effective action in terms of a derivative expansion in real time at least at the order studied.

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“…Let us emphasize that we consider the linear response approximation; in general, in dense matter there could be additional tensor structures [19]. Let us recall that the graviphoton field is introduced as the specific fluctuation of the background metric:…”

Section: Vortical Susceptibility Of the Quark Condensatementioning

confidence: 99%

Vortical susceptibility of finite-density QCD matter

Aristova¹,

Frenklakh²,

Gorsky³

et al. 2016

J. High Energ. Phys.

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The susceptibility of finite-density QCD matter to vorticity is introduced, as an analog of magnetic susceptibility. It describes the spin polarization of quarks and antiquarks in finite-density QCD matter induced by rotation. We estimate this quantity in the chirally broken phase using the mixed gauge-gravity anomaly at finite baryon density. It is proposed that the vortical susceptibility of QCD matter is responsible for the polarization of Λ andΛ hyperons observed recently in heavy ion collisions at RHIC by the STAR collaboration.

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The axial anomaly at finite temperature

Cited by 103 publications

References 7 publications

Signatures of the Chiral Anomaly in Phonon Dynamics

Signatures of the Chiral Anomaly in Phonon Dynamics

Nonequilibrium pion dynamics near the critical point in a constituent quark model

Vortical susceptibility of finite-density QCD matter

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