Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes

• URL: http://arxiv.org/abs/2109.01140v2
• Date: Thu, 26 May 2022 09:19:01 GMT
• Title: Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes
• Authors: V. Kh. Kotanjyan, A. A. Saharian, M. R. Setare
• Abstract summary: The vacuum expectation value of the current density for a charged scalar field is investigated in Rindler spacetime with a part of spatial dimensions compactified to a torus. For general values of the phases in the periodicity conditions and the lengths of compact dimensions, the expressions are provided for the Hadamard function and vacuum currents.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The vacuum expectation value of the current density for a charged scalar field is investigated in Rindler spacetime with a part of spatial dimensions compactified to a torus. It is assumed that the field is prepared in the Fulling-Rindler vacuum state. For general values of the phases in the periodicity conditions and the lengths of compact dimensions, the expressions are provided for the Hadamard function and vacuum currents. The current density along compact dimensions is a periodic function of the magnetic flux enclosed by those dimensions and vanishes on the Rindler horizon. The obtained results are compared with the corresponding currents in the Minkowski vacuum. The near-horizon and large-distance asymptotics are discussed for the vacuum currents around cylindrical black holes. In the near-horizon approximation the lengths of compact dimensions are determined by the horizon radius. At large distances from the horizon the geometry is approximated by a locally anti-de Sitter spacetime with toroidally compact dimensions and the lengths of compact dimensions are determined by negative cosmological constant.

Related papers

• Geometric interpretation of timelike entanglement entropy [44.99833362998488]
  Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of spacetime. We propose that the bulk carriers of this holographic timelike entanglement entropy are boundary-anchored extremal surfaces probing analytic continuation of holographic spacetimes into complex coordinates.
  arXiv  Detail & Related papers  (2024-08-28T12:36:34Z)
• Topological Casimir effect in models with helical compact dimensions [0.0]
  We investigate the influence of the helical compactification of spatial dimension on the local properties of the vacuum state for a charged scalar field. By using the Hadamard function for the Bunch-Davies vacuum state, the vacuum expectation values of the field squared, current density, and energy-momentum tensor are studied.
  arXiv  Detail & Related papers  (2024-08-02T07:59:06Z)
• Vacuum currents in curved tubes [0.0]
  We investigate the combined effects of spatial curvature and topology on the properties of the vacuum state for a charged scalar field localized on 2D curved tubes. For small values of the proper radius of the tube, compared with the curvature radius, the effect of spatial curvature on the vacuum current is weak. The effect of curvature is essential for proper radii of the tube larger than the radius of spatial curvature.
  arXiv  Detail & Related papers  (2024-05-14T11:11:47Z)
• Fermionic vacuum stresses in models with toroidal compact dimensions [0.0]
  We investigate vacuum expectation value of the energy-momentum tensor for a massive Dirac field in flat spacetime with a toroidal subspace of a general dimension. For general values of the phases in the periodicity conditions the energy density and stresses can be either positive or negative.
  arXiv  Detail & Related papers  (2024-03-07T17:29:31Z)
• Vacuum currents for a scalar field in models with compact dimensions [0.0]
  This paper reviews the investigations on the vacuum expectation value of the current density for a charged scalar field in spacetimes with toroidally compactified spatial dimensions. As background geometries locally Minkowskian (LM), locally de Sitter (LdS) and locally anti-de Sitter (LAdS) spacetimes are considered. The effects of the gravitational field are essential for lengths of compact dimensions larger than the curvature radius.
  arXiv  Detail & Related papers  (2023-12-09T08:20:23Z)
• The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State [44.99833362998488]
  We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. An area law is proven in the limiting cases where the volume tends to infinity and/or the regularization length tends to zero.
  arXiv  Detail & Related papers  (2023-10-05T12:08:03Z)
• Fermionic condensate and the mean energy-momentum tensor in the Fulling-Rindler vacuum [0.0]
  We investigate the properties of the fermionic Fulling-Rindler vacuum for a massive Dirac field in a general number of spatial dimensions. Fermion condensate vanishes for a massless field and is negative for nonzero mass. The thermal distribution is of the Bose-Einstein type in even number of spatial dimensions.
  arXiv  Detail & Related papers  (2023-07-24T13:59:08Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Continuous percolation in a Hilbert space for a large system of qubits [58.720142291102135]
  The percolation transition is defined through the appearance of the infinite cluster. We show that the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient. Our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
  arXiv  Detail & Related papers  (2022-10-15T13:53:21Z)
• Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
  A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM) We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
  arXiv  Detail & Related papers  (2022-02-23T19:00:06Z)
• Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity [62.997667081978825]
  We study the effect of the boundary on a system of weakly interacting bosons in one dimension. The quantum contribution to the boson density gives rise to small corrections of the bound state energy levels.
  arXiv  Detail & Related papers  (2020-07-21T13:12:33Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.