Fermionic condensate and the mean energy-momentum tensor in the
Fulling-Rindler vacuum
- URL: http://arxiv.org/abs/2307.12809v2
- Date: Thu, 16 Nov 2023 03:35:23 GMT
- Title: Fermionic condensate and the mean energy-momentum tensor in the
Fulling-Rindler vacuum
- Authors: S. Bellucci, V. Kh. Kotanjyan, A. A. Saharian
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the properties of the fermionic Fulling-Rindler vacuum for a
massive Dirac field in a general number of spatial dimensions. As important
local characteristics, the fermionic condensate and the expectation value of
the energy-momentum tensor are evaluated. The renormalization is reduced to the
subtraction of the corresponding expectation values for the Minkowski vacuum.
It is shown that the fermion condensate vanishes for a massless field and is
negative for nonzero mass. Unlike the case of scalar fields, the fermionic
vacuum stresses are isotropic for general case of massive fields. The energy
density and the pressures are negative. For a massless field the corresponding
spectral distributions exhibit thermal properties with the standard Unruh
temperature. However, the density-of-states factor is not Planckian for general
number of spatial dimensions. Another interesting feature is that the thermal
distribution is of the Bose-Einstein type in even number of spatial dimensions.
This feature has been observed previously in the response of a particle
detector uniformly accelerating through the Minkowski vacuum. In an even number
of space dimensions the fermion condensate and the mean energy-momentum tensor
coincide for the fields realizing two inequivalent irreducible representations
of the Clifford algebra. In the massless case, we consider also the vacuum
energy-momentum tensor for Dirac fields in the conformal vacuum of the Milne
universe, in static open universe and in the hyperbolic vacuum of de Sitter
spacetime.
Related papers
- A non-hermitean momentum operator for the particle in a box [49.1574468325115]
We show how to construct the corresponding hermitean Hamiltonian for the infinite as well as concrete example.
The resulting Hilbert space can be decomposed into a physical and unphysical subspace.
arXiv Detail & Related papers (2024-03-20T12:51:58Z) - 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) - Induced vacuum energy density of quantum charged scalar matter in the
background of an impenetrable magnetic tube with the Neumann boundary
condition [0.0]
We consider vacuum polarization of charged scalar matter field outside the tube with magnetic flux inside.
We show that vacuum energy is periodic in the value of the magnetic flux of the tube.
It is shown that the value of the induced vacuum energy density in the case of the Neumann boundary condition is greater than in the case of the Dirichlet boundary condition.
arXiv Detail & Related papers (2022-12-07T17:36:13Z) - 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) - Mean field squared and energy-momentum tensor for the hyperbolic vacuum
in dS spacetime [0.0]
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.
arXiv Detail & Related papers (2021-10-13T11:54:53Z) - 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) - 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) - Gravitational waves affect vacuum entanglement [68.8204255655161]
The entanglement harvesting protocol is an operational way to probe vacuum entanglement.
Using this protocol, it is demonstrated that while the transition probability of an individual atom is unaffected by the presence of a gravitational wave, the entanglement harvested by two atoms depends sensitively on the frequency of the gravitational wave.
This suggests that the entanglement signature left by a gravitational wave may be useful in characterizing its properties, and potentially useful in exploring the gravitational-wave memory effect and gravitational-wave induced decoherence.
arXiv Detail & Related papers (2020-06-19T18:01:04Z) - 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.