Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
arXiv:2207.14055 · doi:10.1103/PhysRevD.106.125009
Abstract
For a massive scalar field with a general curvature coupling parameter, we investigate the finite temperature contributions to the Hadamard function and to the charge and current densities in the geometry of a magnetic flux carrying generalized cosmic string embedded in -dimensional locally AdS spacetime with a compactified spatial dimension. For , the geometry on the AdS boundary, in the context of the AdS/CFT duality, corresponds to a cosmic string as a linear defect, compactified along its axis. In contrast to the case of the Minkowski bulk, the upper bound on the chemical potential does not depend on the field mass and is completely determined by the length of compact dimension and by the enclosed magnetic flux. The only nonzero components correspond to the charge density, to the azimuthal current and to the current along the compact dimension. They are periodic functions of magnetic fluxes with the period equal to the flux quantum. The charge density is an odd function and the currents are even functions of the chemical potential. At high temperatures the influence of the gravitational field and topology on the charge density is subdominant and the leading term in the corresponding expansion coincides with that for the charge density in the Minkowski spacetime. The current densities are topology-induced quantities and their behavior at high temperatures is completely different with the linear dependence on the temperature. At small temperatures and for chemical potentials smaller than the critical value, the thermal expectation values are exponentially suppressed for both massive and massless fields.
arXiv comment30 pages, 7 figures; Version accepted for publication in Physical Review D
References in corpus (60)
- The electronic properties of graphene
- Gauge Theory Correlators from Non-Critical String Theory
- AdS/CFT Correspondence and Symmetry Breaking
- Schwarzschild black hole lensing
- Correlation functions in the CFT(d)/AdS(d+1) correpondence
- Topological Black Holes in Anti-de Sitter Space
- Relativistic images of Schwarzschild black hole lensing
- Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
- Pair Production of Topological anti de Sitter Black Holes
- Black plane solutions in four dimensional spacetimes
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
- Small-Angle CMB Temperature Anisotropies Induced by Cosmic Strings
- Signals of Inflationary Models with Cosmic Strings
- Quantum (In)Stability of a Brane-World AdS Universe at Nonzero Temperature
- Seeking String Theory in the Cosmos
- B-modes from Cosmic Strings
- Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
- Vacuum currents induced by a magnetic flux around a cosmic string with finite core
- Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
- Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string
- Induced vacuum bosonic current by magnetic flux in a higher dimensional compactified cosmic string spacetime
- Gravitational waves from kinks on infinite cosmic strings
- Ground states of a Klein-Gordon field with Robin boundary conditions in global anti-de Sitter spacetime
- Induced vacuum current and magnetic field in the background of a cosmic string
- Thermal Equilibration of Brane-Worlds
- Inflation, String Theory and Cosmology
- Topological Casimir effect in compactified cosmic string spacetime
- Fermionic vacuum polarization in compactified cosmic string spacetime
- Vacuum polarization by a cosmic string in de Sitter spacetime
- Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime
- Gravitational Lensing Signature of Long Cosmic Strings
- Finite temperature current densities and Bose-Einstein condensation in topologically nontrivial spaces
- A conical deficit in the AdS4/CFT3 correspondence
- Boundary CFT from Holography
- Thermal expectation values of fermions on anti-de Sitter space-time
- Vacuum polarization in high-dimensional AdS spacetime in the presence of a cosmic string and compactified extra dimension
- Induced current in high-dimensional AdS spacetime in the presence of a cosmic string and a compactified extra dimension
- Hamiltonian thermodynamics of d-dimensional (d=4 and d>4) Reissner-Nordström anti-de Sitter black holes with spherical, planar, and hyperbolic topology
- AdS/dS CFT Correspondence
- Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
- The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
- Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
- Holographic CFTs on maximally symmetric spaces: correlators, integral transforms and applications
- Vacuum densities for a brane intersecting the AdS boundary
- Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
- Vacuum Polarization at Finite Temperature around a Magnetic Flux Cosmic String
- Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension
- Vacuum polarization in graphene with a topological defect
- Finite temperature bosonic charge and current densities in compactified cosmic string spacetime
- Vacuum expectation value of the energy-momentum tensor in a higher dimensional compactified cosmic string spacetime
- Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
- Thermodynamic Geometry and Phase Transitions of AdS Braneworld Black Holes
- Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes
- Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime
- Bose-Einstein Condensation of a Gaussian Random Field in the Thermodynamic Limit
- Hot scalar radiation around a cosmic string setting bounds on the coupling parameter
- Thermodynamics of bosonic systems in adS spacetime
- Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk
- Non-Euclidean geometry, nontrivial topology and quantum vacuum effects
- Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary