Rotating fermions inside a cylindrical boundary
arXiv:1512.05239 · doi:10.1103/PhysRevD.93.104014
Abstract
We study a quantum fermion field inside a cylinder in Minkowski space-time. On the surface of the cylinder, the fermion field satisfies either spectral or MIT bag boundary conditions. We define rigidly-rotating quantum states in both cases, assuming that the radius of the cylinder is sufficiently small that the speed-of-light surface is excluded from the space-time. With this assumption, we calculate rigidly-rotating thermal expectation values of the fermion condensate, neutrino charge current and stress-energy tensor relative to the bounded vacuum state. These rigidly-rotating thermal expectation values are finite everywhere inside and on the surface of the cylinder and their detailed properties depend on the choice of boundary conditions. We also compute the Casimir divergence of the expectation values of these quantities in the bounded vacuum state relative to the unbounded Minkowski vacuum. We find that the rate of divergence of the Casimir expectation values depends on the conditions imposed on the boundary.
43 pages, 11 figures, minor changes, accepted for publication in Physical Review D
References in corpus (6)
- Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
- Thermodynamical inequivalence of quantum stress-energy and spin tensors
- Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
- Fermionic condensate in a conical space with a circular boundary and magnetic flux
- Renormalised fermion vacuum expectation values on anti-de Sitter space-time
- The global rotating scalar field vacuum on anti-de Sitter space-time
Cited by in corpus (58)
- Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
- Relativistic quantum motion of spin-0 particles under the influence of non-inertial effects in the cosmic string space-time
- Boundary effects and gapped dispersion in rotating fermionic matter
- Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
- Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
- Inhomogeneous confining-deconfining phases in rotating plasmas
- Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
- Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
- Inhomogeneity of rotating gluon plasma and Tolman-Ehrenfest law in imaginary time: lattice results for fast imaginary rotation
- 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
- Inverse magneto-rotational catalysis and the phase diagram of a rotating hot and magnetized quark matter
- Edge states and thermodynamics of rotating relativistic fermions under magnetic field
- General thermodynamic equilibrium with axial chemical potential for the free Dirac field
- The Zilch Vortical Effect
- Surface Magnetic Catalysis
- QCD phase structure under rotation
- Negative moment of inertia and rotational instability of gluon plasma
- Helical massive fermions under rotation
- Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
- Anatomy of the chiral vortical effect
- Quark-meson model under rotation: A functional renormalization group study
- Chiral phase transition inside a rotating cylinder within the Nambu--Jona-Lasinio model
- Thermal expectation values of fermions on anti-de Sitter space-time
- Maxwell-Juttner distribution for rigidly-rotating flows in spherically symmetric spacetimes using the tetrad formalism
- Magnetism and rotation in relativistic field theory
- Fermion propagator in a rotating environment
- Deconfinement transition in the revolving bag model
- Charged rho superconductor in the presence of magnetic field and rotation
- Chiral vortices and pseudoscalar condensation due to rotation
- Bound states and electromagnetic radiation of relativistically rotating cylindrical wells
- Chiral phase transition in a rotating sphere
- Synchrotron radiation by slowly rotating fermions
- Hall effect in the presence of rotation
- Chiral phase transition of a dense, magnetized and rotating quark matter
- Exact solutions in quantum field theory under rotation
- Rotating fermions inside a spherical boundary
- Photon radiation by relatively slowly rotating fermions in magnetic field
- Inhibition of splitting of the chiral and deconfinement transition due to rotation in QCD: the phase diagram of linear sigma model coupled to Polyakov loop
- Bouncing Dirac particles: compatibility between MIT boundary conditions and Thomas precession
- The magnetic dual chiral density wave phase in a rotating cold quark matter
- Gravitational chiral anomaly and anomalous transport for fields with spin 3/2
- Electromagnetic radiation at extreme angular velocity
- Chiral magnetic effect in a cylindrical domain
- Quasi-normal modes and fermionic vacuum decay around a Kerr black hole
- Effects of chiral MIT boundary conditions for a Dirac particle in a box
- Equation of states in the curved spacetime of slowly rotating degenerate stars
- The Chiral Phase Transitions of Helical Matter
- On the origin of mixed inhomogeneous phase in vortical gluon plasma
- Firewall boundaries and mixed phases of rotating quark matter in linear sigma model
- Causal fermion states in magnetic field in a relativistic rotating frame and electromagnetic radiation by a rapidly rotating charge
- Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
- Shear viscosity and electrical conductivity of rotating quark matter in Nambu--Jona-Lasinio Model
- Shear Viscosity and Electrical Conductivity of Rotating Nuclear Medium in Hadron Resonance Gas and Nambu-Jona Lasinio Models
- Perturbation theory of rotating scalar fields and vacuum insensitivity to rotation
- Massive fermion between two parallel chiral plates
- Fermion Thermal Field Theory for a Rotating Plasma (with Applications to Neutron Stars)
- Susceptibilities of rotating quark matter in Fourier-Bessel basis