Casimir effect for mixed fields

Blasone, Massimo; Luciano, Giuseppe Gaetano; Petruzziello, Luciano; Smaldone, L. A.

doi:10.1016/j.physletb.2018.10.004

Cited by 34 publications

(22 citation statements)

References 40 publications

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“…[26]. This has far reaching phenomenological and theoretical consequences: corrections to standard oscillation formula [13], modifications of Casimir force [44], emergence of a natural contribution to dark energy [12]. Moreover, in the following we show that oscillation formula derived by means of flavor vacuum is Poincaré invariant, whereas in the case of standard oscillation formula this was only proved in the ultrarelativistic limit [15].…”

Section: Poincaré Group Representations and Field Mixingmentioning

confidence: 66%

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Some nontrivial aspects of Poincaré and CPT invariance of flavor vacuum

et al. 2020

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We study the explicit form of Poincaré and discrete transformations of flavor states in a two-flavor scalar model, which represents the simplest example of the field mixing. Because of the particular form of the flavor vacuum condensate, we find that the aforementioned symmetries are spontaneously broken. The ensuing vacuum stability group is identified with the Euclidean group Eð3Þ. With the help of Fabri-Picasso theorem, we show that flavor vacua with different time labels and in different Lorentz frames are unitarily inequivalent to each other and they constitute a manifold of zero-flavor-charge states. Despite the spontaneous breakdown of Poincaré and CPT symmetries that characterizes such vacua, we provide arguments on the absence of Goldstone Bosons. We also prove that the phenomenologically relevant oscillation formula is invariant under these transformations. In particular we prove that flavor oscillation formula on flavor vacuum has the same form in all Lorentz frames, by means of general arguments, valid at all energy scales.

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Section: Poincaré Group Representations and Field Mixingmentioning

confidence: 66%

“…In Ref. [44] it was shown that different choices of μ σ affect the strength of the Casimir force between two plates. Typical choices studied in literature [46] are…”

Section: Flavor Fields Quantizationmentioning

confidence: 99%

Some nontrivial aspects of Poincaré and CPT invariance of flavor vacuum

et al. 2020

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“…In Refs. [6], for instance, it was analyzed in connection with the unitary inequivalence between mass and flavor Fock spaces for mixed fields. Similarly, in Refs.…”

Section: Introductionmentioning

confidence: 99%

Heuristic derivation of Casimir effect in minimal length theories

Blasone

Lambiase

Luciano

et al. 2020

Int. J. Mod. Phys. D

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We propose a heuristic derivation of Casimir effect in the context of minimal length theories based on a Generalized Uncertainty Principle (GUP). By considering a GUP with only a quadratic term in the momentum, we compute corrections to the standard formula of Casimir energy for the parallel-plate geometry, the sphere and the cylindrical shell. For the first configuration, we show that our result is consistent with the one obtained via more rigorous calculations in Quantum Field Theory. Experimental developments are finally discussed.

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“…Since the foundational paper [22], the Casimir effect has been largely investigated in both flat [23] and curved [24] background, and in particular in quadratic theories of gravity [25], which have been studied also in other frameworks [26]. Further interesting applications have been addressed in the context of Lorentz symmetry breaking [27] and flavor mixing of fields [28].…”

Section: Introductionmentioning

confidence: 99%