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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Anomaly induced current in boundary Lifshitz field theory

  1. 1National Tsing-Hua University
  2. 2Physics Division, National Center for Theoretical Sciences
  3. 3Kyung Hee University

Abstract

A bstract : We study quantum transport phenomena induced by anisotropic Lifshitz scale anomaly in a boundary Lifshitz field theory (BLFT) coupled to an external electromagnetic background. In this context, we obtain the anisotropic scale anomaly in Lifshitz field theories coupled to a background U(1) gauge field and subsequently compute the anomaly induced near boundary current in a BLFT. Focusing on 5D BLFTs, we find that the temporal and spatial components of the induced current exhibit distinct power law dependencies on the distance from the boundary, reflecting the intrinsic time-space anisotropy of the theory. We further derive this anomalous current holographically from the bulk dual of BLFT and find that the temporal component is independent of the boundary conditions while the spatial component depends explicitly on them. The distance dependence is in exact agreement with the dual field theory result.

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BibTeX
@article{chu2026anomaly,
  title = {{Anomaly induced current in boundary Lifshitz field theory}},
  author = {Chong-Sun Chu and Himanshu Parihar},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)022},
  url = {https://link.springer.com/10.1007/JHEP10(2026)022},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Anomaly induced current in boundary Lifshitz field theory
AU  - Chong-Sun Chu
AU  - Himanshu Parihar
PY  - 2026
DA  - 2026/10/02
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)022
UR  - https://link.springer.com/10.1007/JHEP10(2026)022
AB  - A bstract : We study quantum transport phenomena induced by anisotropic Lifshitz scale anomaly in a boundary Lifshitz field theory (BLFT) coupled to an external electromagnetic background. In this context, we obtain the anisotropic scale anomaly in Lifshitz field theories coupled to a background U(1) gauge field and subsequently compute the anomaly induced near boundary current in a BLFT. Focusing on 5D BLFTs, we find that the temporal and spatial components of the induced current exhibit distinct power law dependencies on the distance from the boundary, reflecting the intrinsic time-space anisotropy of the theory. We further derive this anomalous current holographically from the bulk dual of BLFT and find that the temporal component is independent of the boundary conditions while the spatial component depends explicitly on them. The distance dependence is in exact agreement with the dual field theory result.
SN  - 1029-8479
ER  -