Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

Buividovich, P. V.

doi:10.1103/physrevd.90.125025

Cited by 36 publications

(60 citation statements)

References 67 publications

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“…However, spontaneous chiral symmetry breaking violates these approximations [15,16] due to the emergence of massless Goldstone modes. Moreover, anomalous transport coefficients are subject to perturbative renormalization if the corresponding currents (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, anomalous transport coefficients are subject to perturbative renormalization if the corresponding currents (e.g. the electric current in the case of CME) are coupled to dynamical gauge fields [16][17][18][19]. Both sources of corrections to anomalous transport coefficients might be relevant for Weyl semimetals.…”

Section: Introductionmentioning

confidence: 99%

“…A mean-field study of the chiral magnetic effect for the continuum Dirac Hamiltonian with contact interactions between electric charges was recently performed in [16]. It was found that interactions increase the chiral chemical potential as well as the chiral magnetic conductivity both in the weak-coupling regime and in the strongly coupled phase with broken chiral symmetry.…”

Section: Introductionmentioning

confidence: 99%

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Spontaneous chiral symmetry breaking and chiral magnetic effect in Weyl semimetals

Buividovich¹,

Puhr²

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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We perform a mean-field study of the phase diagram of interacting Weyl semimetals with broken parity, that is, with different densities of right-and left-handed quasiparticles. As a simple model system, we consider the Wilson-Dirac Hamiltonian with the chiral chemical potential and on-site repulsive interactions. We find that the chiral chemical potential somewhat shrinks the region of the pion condensation (Aoki phase) in the parameter space of the bare mass and the interaction strength, so that the condensation thresholds are at smaller interaction strengths. The renormalized chiral chemical potential monotonously grows with interaction strength everywhere in the phase diagram, and only the growth rate is discontinuous across the phase transition lines. These findings are in full agreement with previous results obtained by one of the authors for the continuum Dirac Hamiltonian, except for the fact that for our lattice model with explicitly broken chiral symmetry the boundaries of the Aoki phase remain sharp second-order phase transitions even at nonzero chiral chemical potential and there are no signatures of Cooper-type instabilities in the weakly interacting regime.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Spontaneous chiral symmetry breaking and chiral magnetic effect in Weyl semimetals

Buividovich¹,

Puhr²

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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“…The corresponding anomalous transport phenomena have been studied at weak coupling [13,15,23] as well as at strong coupling [9,12,19,20,23,30,35,70]. These anomalous effects can be summarized by noting that in a chiral fluid in the presence of an external magnetic field B or of nonzero fluid angular momentum Ω the axial anomaly causes both vector and axial currents to flow [12,13,20,23]:…”

Section: Anomalous Contributionsmentioning

confidence: 99%

Chiral drag force

Rajagopal

Sadofyev

2015

J. High Energ. Phys.

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Abstract:We provide a holographic evaluation of novel contributions to the drag force acting on a heavy quark moving through strongly interacting plasma. The new contributions are chiral in the sense that they act in opposite directions in plasmas containing an excess of left-or right-handed quarks. The new contributions are proportional to the coefficient of the axial anomaly, and in this sense also are chiral. These new contributions to the drag force act either parallel to or antiparallel to an external magnetic field or to the vorticity of the fluid plasma. In all these respects, these contributions to the drag force felt by a heavy quark are analogous to the chiral magnetic effect (CME) on light quarks. However, the new contribution to the drag force is independent of the electric charge of the heavy quark and is the same for heavy quarks and antiquarks, meaning that these novel effects do not in fact contribute to the CME current. We show that although the chiral drag force can be non-vanishing for heavy quarks that are at rest in the local fluid rest frame, it does vanish for heavy quarks that are at rest in a suitably chosen frame. In this frame, the heavy quark at rest sees counterpropagating momentum and charge currents, both proportional to the axial anomaly coefficient, but feels no drag force. This provides strong concrete evidence for the absence of dissipation in chiral transport, something that has been predicted previously via consideration of symmetries. Along the way to our principal results, we provide a general calculation of the corrections to the drag force due to the presence of gradients in the flowing fluid in the presence of a nonzero chemical potential. We close with a consequence of our result that is at least in principle observable in heavy ion collisions, namely an anticorrelation between the direction of the CME current for light quarks in a given event and the direction of the kick given to the momentum of all the heavy quarks and antiquarks in that event.

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“…Closer investigations revealed, however, that there are two scenarios where corrections to the anomalous transport coefficients can occur: If chiral symmetry is spontaneously broken [14][15][16] and in an unquenched theory if the currents couple to dynamical gauge fields [17][18][19].…”

Section: Motivation and Introductionmentioning

confidence: 99%

The Chiral Separation Effect in quenched finite-density QCD

Puhr¹,

Buividovich²

2018

EPJ Web Conf.

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Abstract. We present results of a study of the Chiral Separation Effect (CSE) in quenched finite-density QCD. Using a recently developed numerical method we calculate the conserved axial current for exactly chiral overlap fermions at finite density for the first time. We compute the anomalous transport coefficient for the CSE in the confining and deconfining phase and investigate possible deviations from the universal value. In both phases we find that non-perturbative corrections to the CSE are absent and we reproduce the universal value for the transport coefficient within small statistical errors. Our results suggest that the CSE can be used to determine the renormalisation factor of the axial current.

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Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

Cited by 36 publications

References 67 publications

Spontaneous chiral symmetry breaking and chiral magnetic effect in Weyl semimetals

Spontaneous chiral symmetry breaking and chiral magnetic effect in Weyl semimetals

Chiral drag force

The Chiral Separation Effect in quenched finite-density QCD

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