Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime

• URL: http://arxiv.org/abs/2110.06662v2
• Date: Mon, 20 Dec 2021 07:19:07 GMT
• Title: Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime
• Authors: A. A. Saharian, T. A. Petrosyan, V. S. Torosyan
• Abstract summary: It is assumed that the field is prepared in the hyperbolic vacuum state. It is shown that the Bunch-Davies state is interpreted as thermal with respect to the hyperbolic vacuum. The relations obtained for the difference in the VEVs for the Bunch-Davies and hyperbolic vacua are compared with the corresponding relations for the Fulling-Rindler and Minkowski vacua in flat spacetime.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We evaluate the Hadamard function and the vacuum expectation values (VEVs) of the field squared and energy-momentum tensor for a massless conformally coupled scalar field in $(D+1)$-dimensional de Sitter (dS) spacetime foliated by spatial sections of negative constant curvature. It is assumed that the field is prepared in the hyperbolic vacuum state. An integral representation for the difference of the Hadamard functions corresponding to the hyperbolic and Bunch-Davies vacua is provided that is well adapted for the evaluation of the expectation values in the coincidence limit. It is shown that the Bunch-Davies state is interpreted as thermal with respect to the hyperbolic vacuum. An expression for the corresponding density of states is provided. The relations obtained for the difference in the VEVs for the Bunch-Davies and hyperbolic vacua are compared with the corresponding relations for the Fulling-Rindler and Minkowski vacua in flat spacetime. The similarity between those relations is explained by the conformal connection of dS spacetime with hyperbolic foliation and Rindler spacetime. As a limiting case, the VEVs for the conformal vacuum in the Milne universe are discussed.

Related papers

• 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 Force and Confinement [65.268245109828]
  We show that confinement of quarks and gluons can be explained by their interaction with the vacuum Abelian gauge field $A_sfvac$.
  arXiv  Detail & Related papers  (2024-02-09T13:42:34Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• 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)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• 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)
• Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes [0.0]
  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.
  arXiv  Detail & Related papers  (2021-09-02T11:44:28Z)
• Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime [0.0]
  We assume that the field obeys Robin boundary condition on the sphere. The contributions in the Hadamard function induced by the sphere are explicitly separated. The influence of the gravitational field is essential at late stages of the expansion.
  arXiv  Detail & Related papers  (2021-07-09T11:53:38Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)
• The Casimir densities for a sphere in the Milne universe [0.0]
  The influence of a spherical boundary on the vacuum fluctuations of a massive scalar field is investigated in background of $(D+1)$-dimensional Milne universe. The normalized mode functions are derived for the regions inside and outside the sphere and different vacuum states are discussed. As important local characteristics of the vacuum state the vacuum expectation values (VEVs) of the field squared and of the energy-momentum tensor are investigated.
  arXiv  Detail & Related papers  (2020-02-25T11:20:49Z)

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.