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- W4385681657 abstract "We discuss the imaginary-time formalism for field theories in thermal equilibrium in uniformly accelerating frames. We show that under a Wick rotation of Minkowski spacetime, the Rindler event horizon shrinks to a point in a two-dimensional subspace tangential to the acceleration direction and the imaginary time. We demonstrate that the accelerated version of the Kubo-Martin-Schwinger (KMS) condition implies an identification of all spacetime points related by integer-multiple rotations in the tangential subspace about this Euclidean Rindler event-horizon point, with the rotational quanta defined by the thermal acceleration, $alpha = a/T$. In the Wick-rotated Rindler hyperbolic coordinates, the KMS relations reduce to standard (anti-)periodic boundary conditions in terms of the imaginary proper time (rapidity) coordinate. Our findings pave the way to study, using first-principle lattice simulations, the Hawking-Unruh radiation in geometries with event horizons, phase transitions in accelerating Early Universe, and early stages of quark-gluon plasma created in relativistic heavy-ion collisions." @default.
- W4385681657 created "2023-08-09" @default.
- W4385681657 creator A5017791678 @default.
- W4385681657 creator A5074799439 @default.
- W4385681657 date "2023-08-06" @default.
- W4385681657 modified "2023-10-16" @default.
- W4385681657 title "Acceleration as a circular motion along an imaginary circle: Kubo-Martin-Schwinger condition for accelerating field theories in imaginary-time formalism" @default.
- W4385681657 doi "https://doi.org/10.48550/arxiv.2308.03225" @default.
- W4385681657 hasPublicationYear "2023" @default.
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