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.

arXiv comment40 pages, 5 figures, minor changes, book chapter submitted to "Strongly Interacting Matter Under Rotation", edited by F. Becattini, J. Liao and M. Lisa

References in corpus (43)

• Large N Field Theories, String Theory and Gravity
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Rotation and the AdS/CFT correspondence
• Twenty Years of the Weyl Anomaly
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Relativistic fluid dynamics with spin
• Heavy ions and string theory
• Testing viscous and anisotropic hydrodynamics in an exactly solvable case
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Spin tensor and its role in non-equilibrium thermodynamics
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• The renormalized stress tensor in Kerr space-time: general results
• Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
• Rotating quantum states
• Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory
• Rotating fermions inside a cylindrical boundary
• First order and stable relativistic dissipative hydrodynamics
• Global and local spin polarization in heavy ion collisions: a brief overview
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Kermions: quantization of fermions on Kerr space-time
• Relativistic second-order dissipative hydrodynamics at finite chemical potential
• On axial current in rotating and accelerating medium
• The Rotating Quantum Thermal Distribution
• Effects of rotation and acceleration in the axial current: density operator vs Wigner function
• The Renormalized Stress Tensor in Kerr Space-Time: Numerical Results for the Hartle-Hawking Vacuum
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• General thermodynamic equilibrium with axial chemical potential for the free Dirac field
• Hadamard renormalized scalar field theory on anti-de Sitter space-time
• Helical massive fermions under rotation
• Renormalised fermion vacuum expectation values on anti-de Sitter space-time
• Divergence of a quantum thermal state on Kerr space-time
• Thermal expectation values of fermions on anti-de Sitter space-time
• Shear viscosity, Bulk viscosity and Relaxation Times of Causal Dissipative Relativistic Fluid-Dynamics at Finite Temperature and Chemical Potential
• Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
• Dirac fermions on an anti-de Sitter background
• Quantum non-equilibrium effects in rigidly-rotating thermal states
• Dissipation flow-frames: particle, energy, thermometer
• The global rotating scalar field vacuum on anti-de Sitter space-time
• Vortical effects in Dirac fluids with vector, chiral and helical charges
• Relativistic rotating Boltzmann gas using the tetrad formalism
• 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