Mixed anomalies: Chiral vortical effect and the Sommerfeld expansion

Stone, Michael; Kim, Jiyoung

doi:10.1103/physrevd.98.025012

Cited by 79 publications

(81 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[81]. Second, the combination of thermal gradients and pseudofields is sensitive to a more exotic contribution to the chiral anomaly, the mixed gravitational anomaly [71,[84][85][86]. So far, this type of anomalies have only been probed experimentally applying real magnetic fields [84][85][86].…”

Section: The Chiral Anomaly With Pseudo-fieldsmentioning

confidence: 99%

Pseudo-electromagnetic fields in 3D topological semimetals

2019

View full text Add to dashboard Cite

Dirac and Weyl semimetals, materials where electrons behave as relativistic fermions, react to position-and time-dependent perturbations, such as strain, as if emergent electromagnetic fields were applied. Since they differ from external electromagnetic fields in their symmetries and phenomenology they are called pseudo-electromagnetic fields, and enable a simple and unified description of a variety of inhomogeneous systems involving topological semimetals. We review the different physical ways to create effective pseudo-fields, their observable consequences as well as their similarities and differences compared to electromagnetic fields. Among these difference is their effect on quantum anomalies, the absence of a classical symmetry in the quantum theory, which we revisit from a quantum field theory and a semiclassical viewpoint. We conclude with predicted observable signatures of the pseudo-fields and the nascent experimental status. * All authors contributed equally to the preparation of this review arXiv:1903.11088v1 [cond-mat.mes-hall]

show abstract

Section: The Chiral Anomaly With Pseudo-fieldsmentioning

confidence: 99%

Pseudo-electromagnetic fields in 3D topological semimetals

2019

View full text Add to dashboard Cite

show abstract

“…In particular, the well-known chiral vortical effect is shown and corrections to this effect are calculated [7,8,10]. Since the chiral vortical effect is associated with the axial electromagnetic anomaly [11][12][13], as well as with the gravitational anomaly [14,15], it turns out that the approach with the Zubarev operator carries information about the most fundamental properties of matter.…”

Section: Introductionmentioning

confidence: 96%

Calculation of Acceleration Effects Using the Zubarev Density Operator

2020

View full text Add to dashboard Cite

The relativistic form of the Zubarev density operator can be used to study quantum effects associated with acceleration of the medium. In particular, it was recently shown that the calculation of perturbative corrections in acceleration based on the Zubarev density operator makes it possible to show the existence of Unruh effect. In this paper, we present the details of the calculation of quantum correlators arising in the fourth order of the perturbation theory needed to demonstrate the Unruh effect. Expressions for the quantum corrections for massive fermions are also obtained.

show abstract

Section: Introductionmentioning

confidence: 99%

“…The properties of a medium with acceleration and vorticity are controlled by fundamental laws that arise at the quantum-field level [1][2][3][4][5][6]. Various quantum-field effects associated with acceleration and vorticity have been discovered: the chiral vortical effect (CVE) [1][2][3][4][5], the Unruh effect [6], phase transitions due to rotation [7] and acceleration [8][9][10] of the medium. These effects are now also the subject of an experimental search in heavy ion collisions and quark-gluon plasma, in particular, vorticity, or more precisely the thermal vorticity tensor, can lead to polarization of hadrons [11][12][13][14], and acceleration is considered as a possible source of thermalization and hadronization [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…A remarkable observation is that these effects allow to show the duality of various theoretical approaches. An example is the CVE, which can be obtained in the framework of different statistical approaches [17][18][19][20][21], using the hydrodynamic approach with the quantum axial anomaly [2], in the framework of an effective field theory [4], on the basis of the gravitational anomaly [5]. Another example is the chiral magnetic effect [4,22].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Unruh effect universality: emergent conical geometry from density operator

Prokhorov

Teryaev

Захаров

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

The Unruh effect has been investigated from the point of view of the quantum statistical Zubarev density operator in space with the Minkowski metric. Quantum corrections of the fourth order in acceleration to the energy-momentum tensor of real and complex scalar fields, and Dirac field are calculated. Both massless and massive fields are considered. The method for regularization of discovered infrared divergences for scalar fields is proposed. The calculated corrections make it possible to substantiate the Unruh effect from the point of view of the statistical approach, and to explicitly show its universality for various quantum field theories of massless and massive fields. The obtained results exactly coincide with the ones obtained earlier by calculation of the vacuum average of energy-momentum tensor in a space with a conical singularity. Thus, the duality of two methods for describing an accelerated medium is substantiated. One may also speak about the emergence of geometry with conical singularity from thermodynamics. In particular, the polynomiality of the energy-momentum tensor and the absence of higher-order corrections for acceleration can be explicitly demonstrated.

show abstract

Mixed anomalies: Chiral vortical effect and the Sommerfeld expansion

Cited by 79 publications

References 51 publications

Pseudo-electromagnetic fields in 3D topological semimetals

Pseudo-electromagnetic fields in 3D topological semimetals

Calculation of Acceleration Effects Using the Zubarev Density Operator

Unruh effect universality: emergent conical geometry from density operator

Contact Info

Product

Resources

About