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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

Exact solutions in quantum field theory under rotation

classification hep-th
keywords fieldquantumstatestheoryexpectationvaluesablecase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

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

  1. Relativistic Barnett effect and Curie law in a rigidly rotating free Fermi gas

    nucl-th 2026-04 unverdicted novelty 6.0

    In a rigidly rotating free Fermi gas, the relativistic Barnett effect produces different Fermi energies for spin-up and spin-down fermions, leading to a moment of inertia that scales as 1/T at high temperature, analog...

  2. Thermodynamics of rotating fermions

    hep-th 2025-09 conditional novelty 5.0

    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.

  3. Linear sigma model with quarks and Polyakov loop in rotation: phase diagrams, Tolman-Ehrenfest law and mechanical properties

    nucl-th 2025-03 unverdicted novelty 5.0

    Rotation lowers critical temperatures for chiral and deconfinement transitions in the Polyakov linear sigma model under causality constraints, with mechanical properties computed in the homogeneous limit.