(Non)-renormalization of the chiral vortical effect coefficient

Golkar, Siavash; Son, D.

doi:10.1007/jhep02(2015)169

Cited by 125 publications

(186 citation statements)

References 30 publications

(49 reference statements)

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“…This has led to a conjecture that the coefficients of the CS terms on the base manifold are determined by the anomalies in an arbitrary interacting theory. This conjecture was verified in two [1] and four [1,2] dimensions. In this work, we extend the technique of [1] to verify this conjecture and go beyond it.…”

Section: Jhep05(2014)110mentioning

confidence: 60%

“…In what follows we give a complete classification of the role of anomalies in equilibrium configurations. Our results are exact for global anomalies, and only hold perturbatively for the anomalies that involve global and gauge symmetries [31] (see also [2,32]). …”

Section: Discussionmentioning

confidence: 78%

“…While there is a vast literature concerned with the physical consequences of anomalies in the vacuum state and their cohomological structure, little is known about the manifestation of anomalies in more general states, including thermal states. Recently [1,2], following (see also [25][26][27][28][29] for related works since) it was argued that anomalies lead to distinctive physical phenomena which are only visible near thermal equilibrium. In particular, it follows from the work of [1,2] that a mixed flavorgravitational anomaly leads to currents which orient themselves along vorticity, which are in principle measurable in astrophysical phenomena or in condensed matter systems whose low-energy description possesses relativistic fermions.…”

Section: Discussionmentioning

confidence: 99%

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Chern-Simons terms from thermal circles and anomalies

Jensen

Loganayagam

Yarom

2014

J. High Energ. Phys.

172

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Abstract:We compute the full contribution of flavor and (or) Lorentz anomalies to the thermodynamic partition function. Apart from the Wess-Zumino consistency condition the Euclidean generating function must satisfy an extra requirement which we refer to as 'consistency with the Euclidean vacuum'. The latter requirement fixes all Chern-Simons terms that arise in a particular Kaluza-Klein reduction of the theory. The solution to both conditions may be encoded in a 'thermal anomaly polynomial' which we compute. Our construction fixes all the thermodynamic response parameters of a hydrodynamic theory associated with anomalies.

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Section: Jhep05(2014)110mentioning

confidence: 60%

Section: Discussionmentioning

confidence: 78%

Section: Discussionmentioning

confidence: 99%

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Chern-Simons terms from thermal circles and anomalies

Jensen

Loganayagam

Yarom

2014

J. High Energ. Phys.

172

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“…The β-dependent part of W can be expanded in derivatives, and the leading contribution for β → 0 comes from the Chern-Simons terms. As shown in [28,50], the sum over KK modes leads to…”

Section: Chern-simons Terms From Kk Fermionsmentioning

confidence: 99%

“…Consider the generating functional W ≡ − log Z. Following [28,50] (see also [51][52][53]), we can determine its dependence on the U(1) r ×U(1) KK gauge fields by integrating out the tower of massive KK fermions. The β-dependent part of W can be expanded in derivatives, and the leading contribution for β → 0 comes from the Chern-Simons terms.…”

Section: Chern-simons Terms From Kk Fermionsmentioning

confidence: 99%

Cardy formula for 4d SUSY theories and localization

Pietro

Honda

2017

J. High Energ. Phys.

119

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Abstract:We study 4d N = 1 supersymmetric theories on a compact Euclidean manifold of the form S 1 × M 3 . Partition functions of gauge theories on this background can be computed using localization, and explicit formulas have been derived for different choices of the compact manifold M 3 . Taking the limit of shrinking S 1 , we present a general formula for the limit of the localization integrand, derived by simple effective theory considerations, generalizing the result of [1]. The limit is given in terms of an effective potential for the holonomies around the S 1 , whose minima determine the asymptotic behavior of the partition function. If the potential is minimized in the origin, where it vanishes, the partition function has a Cardy-like behavior fixed by Tr(R), while a nontrivial minimum gives a shift in the coefficient. In all the examples that we consider, the origin is a minimum if Tr(R) ≤ 0.

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Chiral Magnetic Effect in Hydrodynamic Approximation

Захаров

2013

Strongly Interacting Matter in Magnetic Fields

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We review derivations of the chiral magnetic effect (ChME) in hydrodynamic approximation. The reader is assumed to be familiar with the basics of the effect. The main challenge now is to account for the strong interactions between the constituents of the fluid. The main result is that the ChME is not renormalized: in the hydrodynamic approximation it remains the same as for non-interacting chiral fermions moving in an external magnetic field. The key ingredients in the proof are general laws of thermodynamics and the Adler-Bardeen theorem for the chiral anomaly in external electromagnetic fields. The chiral magnetic effect in hydrodynamics represents a macroscopic manifestation of a quantum phenomenon (chiral anomaly). Moreover, one can argue that the current induced by the magnetic field is dissipation free and talk about a kind of "chiral superconductivity". More precise description is a ballistic transport along magnetic field taking place in equilibrium and in absence of a driving force. The basic limitation is exact chiral limit while the temperature--excitingly enough- does not seemingly matter. What is still lacking, is a detailed quantum microscopic picture for the ChME in hydrodynamics. Probably, the chiral currents propagate through lower-dimensional defects, like vortices in superfluid. In case of superfluid, the prediction for the chiral magnetic effect remains unmodified although the emerging dynamical picture differs from the standard one.Comment: 35 pages, prepared for a volume of the Springer Lecture Notes in Physics "Strongly interacting matter in magnetic fields" edited by D. Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Ye

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(Non)-renormalization of the chiral vortical effect coefficient

Cited by 125 publications

References 30 publications

Chern-Simons terms from thermal circles and anomalies

Chern-Simons terms from thermal circles and anomalies

Cardy formula for 4d SUSY theories and localization

Chiral Magnetic Effect in Hydrodynamic Approximation

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