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The price of locality: Maxwell-Cattaneo charge transport in Schwinger-Keldysh effective field theory
Abstract
We determine the conditions under which the nonlinear Maxwell-Cattaneo theory of charge transport admits a local Gaussian Schwinger-Keldysh embedding with a particular modified dynamical KMS symmetry. We show that treating the additional vector as intrinsically dissipative fundamentally modifies the entropy-current analysis: the hydrostatic generating functional no longer fixes all entropy-current improvements, which must instead be supplied independently. Subsequently we discuss the additional constraints not contained in the hydrodynamic analysis that are imposed by the modified KMS transformation becoming a symmetry of the action. We both interpret and supply the corresponding stochastic quasi-hydrodynamics.
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BibTeX
@misc{amoretti2026price,
title = {{The price of locality: Maxwell-Cattaneo charge transport in Schwinger-Keldysh effective field theory}},
author = {Andrea Amoretti and Matteo Anselmi and Daniel K. Brattan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13378},
eprint = {2609.13378},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13378},
}
RIS
TY - UNPB
TI - The price of locality: Maxwell-Cattaneo charge transport in Schwinger-Keldysh effective field theory
AU - Andrea Amoretti
AU - Matteo Anselmi
AU - Daniel K. Brattan
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.13378
UR - https://arxiv.org/abs/2609.13378
AB - We determine the conditions under which the nonlinear Maxwell-Cattaneo theory of charge transport admits a local Gaussian Schwinger-Keldysh embedding with a particular modified dynamical KMS symmetry. We show that treating the additional vector as intrinsically dissipative fundamentally modifies the entropy-current analysis: the hydrostatic generating functional no longer fixes all entropy-current improvements, which must instead be supplied independently. Subsequently we discuss the additional constraints not contained in the hydrodynamic analysis that are imposed by the modified KMS transformation becoming a symmetry of the action. We both interpret and supply the corresponding stochastic quasi-hydrodynamics.
ER -