Creation of matter and radiation from deformation of Poincaré invariance

Cougo-Pinto, M. V.; Farina, C.

doi:10.1016/s0370-2693(96)01462-1

Cited by 11 publications

(17 citation statements)

References 14 publications

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“…It seems that the simultaneous assumptions of deformation and boundary conditions lead to a new mechanism of creation of real particles even in a static situation [109]. Of course, the Casimir energy density is also modified by the deformation [110].…”

Section: By Considering Various Types Of Bodies Influencing the Vacuumentioning

confidence: 99%

The Casimir effect: some aspects

Farina

2006

Braz. J. Phys.

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We start this paper with a historical survey of the Casimir effect, showing that its origin is related to experiments on colloidal chemistry. We present two methods of computing Casimir forces, namely: the global method introduced by Casimir, based on the idea of zero-point energy of the quantum electromagnetic field, and a local one, which requires the computation of the energy-momentum stress tensor of the corresponding field.As explicit examples, we calculate the (standard) Casimir forces between two parallel and perfectly conducting plates and discuss the more involved problem of a scalar field submitted to Robin boundary conditions at two parallel plates. A few comments are made about recent experiments that undoubtedly confirm the existence of this effect. Finally, we briefly discuss a few topics which are either elaborations of the Casimir effect or topics that are related in some way to this effect as, for example, the influence of a magnetic field on the Casimir effect of charged fields, magnetic properties of a confined vacuum and radiation reaction forces on non-relativistic moving boundaries.

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Section: By Considering Various Types Of Bodies Influencing the Vacuumentioning

confidence: 99%

The Casimir effect: some aspects

Farina

2006

Braz. J. Phys.

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“…By simple inspection, it is seen that those expressions for the Green functions are divergent. For example, as in the non-deformed case, the quantity Σ 1 (m 2 ) in (20) is divergent. Therefore, κ-deformation does not render finite the Green functions of the theory in perturbative calculations, and we are forced to resort to the usual process of regularization and renormalization in order to define those functions.…”

Section: The κ-Deformed Scalar Field With Quartic Self-interactionmentioning

confidence: 97%

Primitively divergent diagrams in a scalar field with quartic self-interaction and a kappa-deformed dispersion relation

Neves¹,

Carvalho²,

Farina³

et al. 2010

J. Phys. A: Math. Theor.

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We obtain the primitively divergent diagrams in κ-deformed scalar field in four-dimensional spacetime with quartic self-interaction in order to investigate the effect of the fundamental length q = 1/(2κ) on such diagrams. Thanks to κ-deformation, we find that the dimensionally regularized forms of the diagrams lead to finite results in the limit of space-time dimension four. The effect of the deformation appears as a displacement of the poles in the complex plane. *

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“…Notice that κ-deformation may change drastically some quantities associated with the fields, as it happens with the one-loop effective action [10].…”

Section: Introductionmentioning

confidence: 99%

“…The Casimir effect for κ-deformed electrodynamics was calculated perturbatively in the parameter 1/κ [9] and also non-perturbatively [6], from the sum of modes expression of the vacuum energy. It was also obtained for a massive scalar field from the Schwinger proper time representatio of the effective action [10].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect in kappa deformed electrodynamics

Cougo-Pinto¹,

Farina²,

Mendes³

2004

Nuclear Physics B - Proceedings Supplements

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We consider the quantization of a scalar κ-deformed field up to the point of obtaining an expression for its vacuum energy. The expression is given by the half sum of the field frequencies, as in the nondeformed case, but with the frequencies obeying the κ-deformed dispersion relation. We consider a set of κ-deformed Maxwell equations and show that for the purpose of calculating the Casimir energy the Maxwell field, as in the non-deformed case, behaves as a pair of scalar fields. Those results provide a foundation for computing the Casimir energy starting from the the half sum of field frequencies. A method of calculation starting from this expression is briefly described.

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Creation of matter and radiation from deformation of Poincaré invariance

Cited by 11 publications

References 14 publications

The Casimir effect: some aspects

The Casimir effect: some aspects

Primitively divergent diagrams in a scalar field with quartic self-interaction and a kappa-deformed dispersion relation

Casimir effect in kappa deformed electrodynamics

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