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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Anomalous transport from effective field theory

  1. 1ShanghaiTech University
  2. 2Laboratoire d’Annecy de Physique Théorique, CNRS — USMB
  3. 3Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, Grenoble INP

Abstract

A systematic study of chiral effects is presented using an Effective Field Theory framework. By integrating out a massive Dirac fermion at finite temperature in presence of vector and axial background fields, the currents and their anomalies are computed from the path-integral. Chiral effects previously considered separately naturally arise in a unified computation, including new mass corrections. The link between each anomalous transport effect and the anomalies is clearly established, beyond the identification of their coefficients. In particular, we can appreciate how these effects are sourced by the anomalous nature of the theory even in configurations where the anomaly itself vanishes. The consistent and covariant anomalies are both encapsulated in master formulae for the currents which result from a careful treatment of the regularisation. It is finally found that, at finite temperature, the physical currents cannot be inferred simply from the Chern-Simons terms whose divergence reproduce the chiral anomalies.

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BibTeX
@article{larue2026anomalous,
  title = {{Anomalous transport from effective field theory}},
  author = {Rémy Larue and Amaury Marchon and Jérémie Quevillon and Diego Saviot},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)047},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)047},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Anomalous transport from effective field theory
AU  - Rémy Larue
AU  - Amaury Marchon
AU  - Jérémie Quevillon
AU  - Diego Saviot
PY  - 2026
DA  - 2026/11/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)047
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)047
AB  - A systematic study of chiral effects is presented using an Effective Field Theory framework. By integrating out a massive Dirac fermion at finite temperature in presence of vector and axial background fields, the currents and their anomalies are computed from the path-integral. Chiral effects previously considered separately naturally arise in a unified computation, including new mass corrections. The link between each anomalous transport effect and the anomalies is clearly established, beyond the identification of their coefficients. In particular, we can appreciate how these effects are sourced by the anomalous nature of the theory even in configurations where the anomaly itself vanishes. The consistent and covariant anomalies are both encapsulated in master formulae for the currents which result from a careful treatment of the regularisation. It is finally found that, at finite temperature, the physical currents cannot be inferred simply from the Chern-Simons terms whose divergence reproduce the chiral anomalies.
SN  - 1029-8479
ER  -