Exact solutions in quantum field theory under rotation

Abstract

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.

40 pages, 5 figures, minor changes, book chapter submitted to "Strongly Interacting Matter Under Rotation", edited by F. Becattini, J. Liao and M. Lisa

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• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• Hadamard renormalized scalar field theory on anti-de Sitter space-time
• Helical massive fermions under rotation
• Dirac fermions on an anti-de Sitter background
• Quantum non-equilibrium effects in rigidly-rotating thermal states
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• Vortical effects in Dirac fluids with vector, chiral and helical charges
• Quantum corrections in thermal states of fermions on anti-de Sitter space-time

Cited by in corpus (6)

• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• QCD phase structure under rotation
• Firewall boundaries and mixed phases of rotating quark matter in linear sigma model
• Vortical waves in a quantum fluid with vector, axial, and helical charges. I. Non-dissipative transport
• Dirac fermions under imaginary rotation