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# Anomalous Gravitational TTT Vertex, Temperature Inhomogeneity, and Pressure Anisotropy

Abstract : The conformal anomaly in curved spacetime generates a nontrivial anomalous vertex, given by the three-point correlation function $TTT$ of the energy-momentum tensor $T^{\mu\nu}$. We show that a temperature inhomogeneity in a gas of charged massless particles generates, via the $TTT$ vertex, a pressure anisotropy with respect to the axis of the temperature variation. This very particular signature may provide an experimental access to the elusive gravitational coefficient $b$ which determines the anomaly contribution of the Weyl tensor to the trace of the energy-momentum tensor in curved spacetime. We present an estimate of the pressure anisotropy both for fermionic quasiparticles in the solid-state environment of Dirac semimetals as well as for a quark-gluon plasma in relativistic heavy-ion collisions. In both cases, the pressure anisotropy is small compared to the mean thermal pressure.
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https://hal.archives-ouvertes.fr/hal-02349847
Contributor : Maxim Chernodub Connect in order to contact the contributor
Submitted on : Monday, November 9, 2020 - 7:29:22 PM
Last modification on : Wednesday, November 3, 2021 - 7:33:19 AM
Long-term archiving on: : Wednesday, February 10, 2021 - 7:55:45 PM

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M. N. Chernodub, Claudio Corianò, Matteo Maria Maglio. Anomalous Gravitational TTT Vertex, Temperature Inhomogeneity, and Pressure Anisotropy. Physics Letters B, Elsevier, 2020, 802, pp.135236. ⟨10.1016/j.physletb.2020.135236⟩. ⟨hal-02349847⟩

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