Relativistic BDNK MHD Evolution in a Boost-Invariant Medium and Its Impact on Dilepton Production

Fuente: arXiv
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Main Authors: Panda, Ankit Kumar, Biswas, Rajesh
Format: Preprint
Published: 2026
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author Panda, Ankit Kumar
Biswas, Rajesh
author_facet Panda, Ankit Kumar
Biswas, Rajesh
contents In this work, we explore a Bemfica--Disconzi--Noronha--Kovtun (BDNK)-type formulation of relativistic magnetohydrodynamics, providing a causal and stable first-order description of dissipative fluids. We derive coupled evolution equations for the temperature and magnetic field in a boost-invariant Bjorken background, restricting to $(0+1)$D dynamics while retaining all relevant first-order gradients. By varying the transport coefficients, we disentangle the interplay and mutual backreaction between the thermal and electromagnetic sectors. We find that, for comparable transport coefficients, the magnetic field responds more strongly to changes in the temperature evolution, while its feedback on the temperature remains subleading. We further analyze the number density evolution, which is sensitive to both temperature gradients and magnetic-field dynamics. We also investigate implications for dilepton production, where the magnetic field modifies the emission rate via the relaxation time in a kinetic-theory framework. The coupled evolution leads to a suppression of the low-mass dilepton spectrum, primarily driven by enhanced cooling in the presence of positive coupling between temperature gradients and magnetic-field evolution, as compared to scenarios without such feedback.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01807
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Relativistic BDNK MHD Evolution in a Boost-Invariant Medium and Its Impact on Dilepton Production
Panda, Ankit Kumar
Biswas, Rajesh
Nuclear Theory
High Energy Physics - Phenomenology
In this work, we explore a Bemfica--Disconzi--Noronha--Kovtun (BDNK)-type formulation of relativistic magnetohydrodynamics, providing a causal and stable first-order description of dissipative fluids. We derive coupled evolution equations for the temperature and magnetic field in a boost-invariant Bjorken background, restricting to $(0+1)$D dynamics while retaining all relevant first-order gradients. By varying the transport coefficients, we disentangle the interplay and mutual backreaction between the thermal and electromagnetic sectors. We find that, for comparable transport coefficients, the magnetic field responds more strongly to changes in the temperature evolution, while its feedback on the temperature remains subleading. We further analyze the number density evolution, which is sensitive to both temperature gradients and magnetic-field dynamics. We also investigate implications for dilepton production, where the magnetic field modifies the emission rate via the relaxation time in a kinetic-theory framework. The coupled evolution leads to a suppression of the low-mass dilepton spectrum, primarily driven by enhanced cooling in the presence of positive coupling between temperature gradients and magnetic-field evolution, as compared to scenarios without such feedback.
title Relativistic BDNK MHD Evolution in a Boost-Invariant Medium and Its Impact on Dilepton Production
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.01807