Journal Article2024Cited by 3

An effective theory of anomalous charge diffusion from holography

Jewel K. Ghosh, M. Arshad Momen

Nuclear Physics B

Elsevier BV, Vol. 1005, pp. 116585, ISBN: 0550-3213

DOI: 10.1016/j.nuclphysb.2024.116585Open AccessURL

Abstract

We consider a probe U(1) Maxwell-Chern-Simons theory in 5-dimensions, and analyze the vector perturbations around a classical charged black-brane background. We solve the equations of motion for these perturbations in a derivative expansion. By computing the boundary current, we find that time and spatial derivatives can be interpreted as the induced electric and magnetic field respectively, and the Chern-Simons term contributes to a nonzero divergence of the boundary current which indicates a quantum anomaly. Using holography, we construct a two-derivative effective action for the vector perturbations. By complexifying the radial coordinate, and using appropriate transformation, we construct the full solution on the complexified bulk contour. By computing the on-shell action for the full Schwinger-Keldysh geometry, we obtain the Keldysh functional. We find that the single boundary on-shell action mixes parity, whereas the Keldysh functional does not depend on the Chern-Simons term up to the quadratic orders in derivative expansion.

Keywords

  • vector perturbations
  • derivative expansion
  • Holography
  • boundary currents
  • quantum anomalies
  • charged black branes
  • Chern-Simons theory
  • parity violation

CCDS Authors

M Arshad Momen, PhD
M Arshad Momen, PhD

M Arshad Momen, PhD

  • Director, ComPAs Wing

Professor

Dept. of Physical Sciences

Independent University, Bangladesh

Published at

Nuclear Physics B

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Cited By

  1. 1.Yan Liu, Ya-Wen Sun, Xin-Meng Wu. (2025). Holographic Schwinger–Keldysh effective field theories including a non-hydrodynamic mode. Physica C Superconductivity, 632, 1354701[10.1016/j.physc.2025.1354701]
  2. 2.Matteo Baggioli, Yanyan Bu, Xiyang Sun. (2025). Chiral anomalous magnetohydrodynamics in action: effective field theory and holography. Journal of High Energy Physics, 2025(4)[10.1007/jhep04(2025)126]
  3. 3.Jewel Kumar Ghosh, Francisco Peña-Benítez, Patricio Salgado-Rebolledo. (2025). Hydrostatic equilibrium in multi-Weyl semimetals. Journal of High Energy Physics, 2025(10)[10.1007/jhep10(2025)055]
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