Casimir effect in Lorentz-violating scalar field theory: A local approach

Escobar, C. A.; Medel, Leonardo; Martín-Ruiz, A.

doi:10.1103/physrevd.101.095011

Cited by 16 publications

(17 citation statements)

References 39 publications

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“…The force F r is positive when λ < λ c , and flips its sign for λ > λ c thus tending to implode the sphere. Such a transition does not occur in the Lorentz-symmetric case [31] as well as in the LV scalar Casimir stress for parallel plates [28,29].…”

Section: Numerical Resultsmentioning

confidence: 93%

“…Recently, it was proposed that switching between repulsive and attractive Casimir forces could be realized with two topological insulator plates [42,43], as well as between two Weyl semimetallic plates [44]. In the context of the Lorentzviolating scalar field theory described by the Lagrangian (1), it was recently shown that the Casimir force retains its attractive character in the parallel plate configuration [28,29]. However, as our results support, the Lorentzviolating parameter λ allows us to tune between the standard repulsive to attractive Casimir force acting on a D-dimensional sphere, with D > 2, when u μ points along the radial direction.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Due to its potential scope, the CE stands as a good arena to test Lorentz-violating field theories. This has motivated the study of the CE in Lorentz-violating scenarios in the classical geometry of two parallel plates [26][27][28][29]. This, together with the above discussed applications of the CE for a sphere, motivate the present work, where we study how Lorentz symmetry violation manifests on the CE for a real scalar field when it is confined to a D-dimensional spherical shell.…”

Section: Introductionmentioning

confidence: 87%

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Lorentz violating scalar Casimir effect for a D -dimensional sphere

et al. 2020

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We investigate the Casimir effect, due to the confinement of a scalar field in a D-dimensional sphere, with Lorentz symmetry breaking. The Lorentz-violating part of the theory is described by an additional term λðu • ∂ϕÞ 2 in the scalar field Lagrangian, where the parameter λ and the background vector u μ codify the breakdown of Lorentz symmetry. We compute, as a function of D > 2, the Casimir stress by using Green's function techniques for two specific choices of the vector u μ. In the timelike case, u μ ¼ ð1; 0; …; 0Þ, the Casimir stress can be factorized as the product of the Lorentz invariant result times the factor ð1 þ λÞ −1=2. For the radial spacelike case, u μ ¼ ð0; 1; 0; …; 0Þ, we obtain an analytical expression for the Casimir stress which nevertheless does not admit a factorization in terms of the Lorentz invariant result. For the radial spacelike case we find that there exists a critical value λ c ¼ λ c ðDÞ at which the Casimir stress transits from a repulsive behavior to an attractive one for any D > 2. The physically relevant case D ¼ 3 is analyzed in detail where the critical value λ c j D¼3 ¼ 0.0025 was found. As in the Lorentz symmetric case, the force maintains the divergent behavior at positive even integer values of D.

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Section: Numerical Resultsmentioning

confidence: 93%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 87%

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Lorentz violating scalar Casimir effect for a D -dimensional sphere

et al. 2020

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“…The effects of Lorentz violation has been widely investigated in several different scenarios. It is worth mentioning recent studies on the statistical mechanics in LV background [10][11][12][13][14], the Casimir effect [15][16][17][18][19][20], the Bose-Einstein condensation [21][22][23][24][25], QED sector [26][27][28][29][30], LV theories with boundary conditions [31][32][33][34], Chern-Simons-like terms [35][36][37][38][39], scattering processes [40][41][42][43][44], geometrical correspondences [45,46], supersymmetric LV models [47][48][49][50][51], as well as many others interesting subjects (see also [52] and references therein for a more exhaustive list of related papers).…”

Section: Introductionmentioning

confidence: 99%

The Lorentz-violating real scalar field at thermal equilibrium

et al. 2021

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In this paper we study Lorentz-violation (LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In particular, we analyse and compute explicitly the deviations of the internal energy, pressure, and entropy of the system at thermal equilibrium due to the LV contributions. For the free massless scalar field we obtain exact results, whereas for the massive case we perform approximated calculations. Finally, we consider the self interacting $$\phi ^4$$ ϕ 4 theory, and perform perturbative expansions in the coupling constant for obtaining relevant thermodynamics quantities.

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“…In these contexts, Casimir energy has been considered in Refs. [20,21] and [22][23][24], respectively. Therefore, with such a great number of theoretical works, it is natural that the search for Lorentz symmetry violations also acquire experimental interest and, in this sense, the Casimir effect becomes an even more interesting topic to study, since it can be related with Lorentz symmetry violation models.…”

Section: Introductionmentioning

confidence: 99%

Casimir energy and topological mass for a massive scalar field with Lorentz violation

2020

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A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with self-interacting massive scalar fields obeying Dirichlet, Newman, and mixed boundary conditions on two large and parallel plates. By adopting the path integral approach, we find the effective potential at one-and two-loop corrections, which provides both the energy density and the topological mass when taken in the ground state of the scalar field. We then analyze how these quantities are affected by the Lorentz symmetry violation and compare the results with previous ones found in literature.

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Casimir effect in Lorentz-violating scalar field theory: A local approach

Cited by 16 publications

References 39 publications

Lorentz violating scalar Casimir effect for a D -dimensional sphere

Lorentz violating scalar Casimir effect for a D -dimensional sphere

The Lorentz-violating real scalar field at thermal equilibrium

Casimir energy and topological mass for a massive scalar field with Lorentz violation

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