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Covariant statistical mechanics and the stress-energy tensor

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

After recapitulating the covariant formalism of equilibrium statistical mechanics in special relativity and extending it to the case of a non-vanishing spin tensor, we show that the relativistic stress-energy tensor at thermodynamical equilibrium can be obtained from a functional derivative of the partition function with respect to the inverse temperature four-vector \beta. For usual thermodynamical equilibrium, the stress-energy tensor turns out to be the derivative of the relativistic thermodynamic potential current with respect to the four-vector \beta, i.e. T^{\mu \nu} = - \partial \Phi^\mu/\partial \beta_\nu. This formula establishes a relation between stress-energy tensor and entropy current at equilibrium possibly extendable to non-equilibrium hydrodynamics.

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2026 3 2025 1

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UNVERDICTED 4

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representative citing papers

Chiral symmetry breaking and inhomogeneous phases in thermal anti-de Sitter spacetime

nucl-th · 2026-05-04 · unverdicted · novelty 6.0

In the quark-meson model on thermal AdS, chiral symmetry is always broken near the boundary with unique regular inhomogeneous condensate solutions; temperature restores symmetry while negative curvature favors breaking, and the phase diagram is modified by the Hawking-Page transition.

Anomalous Transport from Effective Field Theory

hep-th · 2026-05-15 · unverdicted · novelty 5.0

Unified computation of chiral anomalous transport effects including mass corrections from integrating out a Dirac fermion in EFT at finite temperature, showing physical currents differ from Chern-Simons terms.

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