Casimir effect in Post-Newtonian gravity with Lorentz-violation

Blasone, Massimo; Lambiase, Gaetano; Petruzziello, Luciano; Stabile, An.

doi:10.1140/epjc/s10052-018-6464-y

Cited by 48 publications

(54 citation statements)

References 65 publications

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“…As argued before, a few other factors might have to be taken in consideration for a more general and consistent analysis, such as for example, plate finiteness or considering different vacuum states. However,as far as to the prior considerations made in [30], and the following analysis from some works [32][33][34][35] that take it as a starting point, the lack of an energy shift pointed here is of critical importance, as it may drastically change the nature of their results.…”

Section: Resultsmentioning

confidence: 93%

Null second order corrections to Casimir energy in weak gravitational field

Lima

Alencar

Muniz

et al. 2019

J. Cosmol. Astropart. Phys.

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The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to boundary conditions may generate tensions on these boundaries related to a measurable non-zero renormalized vacuum energy: the Casimir Effect. As such, investigating how these vacuum states and energy behave in curved backgrounds is just natural and might provide important results in the near future. In this paper we revisit a model of the Casimir Effect in weak gravitational field background, which has been proposed and further generalized in the literature. A trick originally used to simplify calculations is shown to lead to a wrong value for the energy shift, and by performing explicit mode expansion we arrive at an unexpected result: null gravitational correction even at order (M/R) 2 , in opposition to earlier results. 1

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Section: Resultsmentioning

confidence: 93%

Null second order corrections to Casimir energy in weak gravitational field

Lima

Alencar

Muniz

et al. 2019

J. Cosmol. Astropart. Phys.

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show abstract

“…In passing, we point out that it is possible to infer a constraint on the free parameters of the quadratic action by virtue of the partitioning (37). Indeed, in light of several considerations already present in literature and applied to other physical frameworks [31,38], it is reasonable to assume that…”

Section: Oscillation Phase Expressionmentioning

confidence: 96%

Neutrino oscillations in extended theories of gravity

2020

Self Cite

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We analyze neutrino mixing and oscillations within the framework of extended theories of gravity. In particular, by relying on the covariant reformulation of Pontecorvo's formalism, we evaluate the oscillation probability of neutrinos propagating in several static spacetimes described by gravitational actions quadratic in the curvature invariants. We show that neutrino oscillation phase is sensitive to the violation of the strong equivalence principle. This connection may be in principle explained via the appearance of the Eddington-Robertson-Schiff parameter in the neutrino Hamiltonian. The above studies are then specialized to different extended models in order both to quantify such a violation and to understand how the characteristic free parameters of the theories could affect the standard result. The possibility to fix new bounds on such parameters and to constrain extended theories of gravity is also discussed.

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“…Substituting Eqs. (29) and (22) in (28), carrying out the integrals in d 3 x, d 3 y, dx 0 , dp 0 , dy 0 and performing some simple manipulations, we obtain…”

Section: Charge-plate Interactionmentioning

confidence: 99%

New Effects in the Vicinity of a Perfectly Conducting Plate in a Non-minimal Lorentz Violation Scenario

Borges

Barone

2020

Braz J Phys

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In this paper we consider some physical phenomena in the vicinity of a conducting plate in a non-minimal Lorentz-violating scenario in 3+1 dimensions. We consider a model where the dynamics of the abelian gauge field is given by the standard Maxwell Lagrangian added by a Lorentz symmetry breaking term with the presence of higher order derivatives in the gauge field. The Lorentz symmetry breaking is due to the presence of a single background vector d λ and we perform the calculations perturbatively up to first order in d λ. We obtain the propagator for the gauge field in the presence of a mirror and the interaction force between the mirror and a point-like electric charge, as well as the interaction force between the mirror and an electric dipole. We show that, on the contrary to what happens in a minimal Lorentz-violating scenario with one single background field (L.H.C. Borges, F.A. Barone, Eur. Phys. J. C 693, 77, 2017), the image method is not valid in the model that we consider in this paper. As a consequence, the symmetry of spatial reflection on the mirror is broken. We also investigate the emergence of a torque in a system composed by a mirror and a point-like electric charge, placed at a fixed distance apart each other. The results obtained in this work have no counterpart in the Maxwell electrodynamics and were not verified in any Lorentz-violating scenario previously.

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Casimir effect in Post-Newtonian gravity with Lorentz-violation

Cited by 48 publications

References 65 publications

Null second order corrections to Casimir energy in weak gravitational field

Null second order corrections to Casimir energy in weak gravitational field

Neutrino oscillations in extended theories of gravity

New Effects in the Vicinity of a Perfectly Conducting Plate in a Non-minimal Lorentz Violation Scenario

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