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Exact solutions in quantum field theory under rotation

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arxiv 1908.10244 v2 pith:25LVYA5H submitted 2019-08-27 hep-th

classification hep-th
keywords fieldquantumstatestheoryexpectationvaluesablecase
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We discuss the construction and properties of rigidly-rotating states for free scalar and fermion fields in quantum field theory. On unbounded Minkowski space-time, we explain why such states do not exist for scalars. For the Dirac field, we are able to construct rotating vacuum and thermal states, for which expectation values can be computed exactly in the massless case. We compare these quantum expectation values with the corresponding quantities derived in relativistic kinetic theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dirac fermions under imaginary rotation

    hep-th 2025-02 conditional novelty 6.0 of 10

    Under imaginary rigid rotation, free Dirac fermions in the thermodynamic limit behave like a static system at inverse temperature q beta with the same chemical potential, yielding fractal dependence on the rotation parameter.

  2. Thermodynamics of rotating fermions

    hep-th 2025-09 conditional novelty 5.0 of 10

    A local pressure for rotating massless fermions is proposed that satisfies both the Euler relation and the thermodynamic differential relations, resolving a known spin-hydrodynamics tension.

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