Aspects of finite electrodynamics in<i>D</i>= 3 dimensions

Gaete, Patricio; Helayël-Neto, J. A.; Spallucci, Euro

doi:10.1088/1751-8113/45/21/215401

Cited by 18 publications

(21 citation statements)

References 62 publications

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“…Evidently, physics will turn out be independent from the choice of the type of product [39]. With these ideas in mind, in previous studies [40,41], we have considered the effect of the spacetime non-commutativity on a physical observable. In fact, we have computed the static potential for axionic electrodynamics both in (3 + 1) and (2 + 1) spacetime dimensions, in the presence of a minimal length.…”

Section: Introductionmentioning

confidence: 99%

Finite field-energy and interparticle potential in logarithmic electrodynamics

Gaete

Helayël-Neto

2014

Eur. Phys. J. C

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We pursue an investigation of logarithmic electrodynamics, for which the field energy of a point-like charge is finite, as happens in the case of the usual Born-Infeld electrodynamics. We also show that, contrary to the latter, logarithmic electrodynamics exhibits the feature of birefringence. Next, we analyze the lowest-order modifications for both logarithmic electrodynamics and for its non-commutative version, within the framework of the gauge-invariant pathdependent variables formalism. The calculation shows a long-range correction (1/r 5 -type) to the Coulomb potential for logarithmic electrodynamics. Interestingly enough, for its non-commutative version, the interaction energy is ultraviolet finite. We highlight the role played by the new quantum of length in our analysis.

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Section: Introductionmentioning

confidence: 99%

Finite field-energy and interparticle potential in logarithmic electrodynamics

Gaete

Helayël-Neto

2014

Eur. Phys. J. C

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“…We now turn to the problem of obtaining the interaction energy between static point-like sources for a Born-Infeldlike model, our analysis follows closely that of Refs. [49,50]. As already mentioned, the corresponding theory is governed by the Lagrangian density (9), that is,…”

Section: Born-infeld-like Modelmentioning

confidence: 96%

“…Following our earlier line of argument [49,50], we shall give a concise description of the Born-Infeld-like electrodynamics defined in a noncommutative geometry. In such a case, Gauss' law reads By proceeding in the same way as in [40], we obtain the static potential for two opposite charges e located at 0 and L:…”

Section: Born-infeld-like Modelmentioning

confidence: 99%

Remarks on nonlinear electrodynamics

2014

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We consider both generalized Born-Infeld and exponential electrodynamics. The field energy of a pointlike charge is finite only for Born-Infeld-like electrodynamics. However, both Born-Infeld-type and exponential electrodynamics display the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics, within the framework of the gauge-invariant path-dependent variables formalism. These are shown to result in longrange (1/r 5 -type) corrections to the Coulomb potential. Once again, for their noncommutative versions, the interaction energy is ultraviolet finite.

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“…Next, the corresponding formulation of this theory in the presence of a minimal length is by means of a smeared source [26,27]. As a consequence, we will take the sources asρ…”

Section: Yang-mills In the Presence Of A Minimal Lengthmentioning

confidence: 99%

“…With these ideas in mind, in previous studies [26,27], we have considered the effect of the spacetime noncommutativity on a physical observable. In fact, we have computed the static potential for axionic electrodynamics both in (3 + 1) and (2 + 1) space-time dimensions, in the presence of a minimal length.…”

Section: Introductionmentioning

confidence: 99%

Remarks on the interquark potential in the presence of a minimal length

Gaete

2013

J. Phys. A: Math. Theor.

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Abstract. We calculate the lowest-order corrections to the static potential for both Yang-Mills theory and gluodynamics in curved space-time, in the presence of a quantum gravity induced minimal length. Our analysis is carried out within stationary perturbation theory. As a consequence, the potential energy is the sum of a Yukawalike potential and a linear potential for gluodynamics in curved space-time, leading to the confinement of static charges. Interestingly enough, we obtain that the coefficient of the linear term ("string tension") is ultraviolet finite. We should highlight the role played by the new quantum of length in our analysis.

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Aspects of finite electrodynamics inD= 3 dimensions

Cited by 18 publications

References 62 publications

Finite field-energy and interparticle potential in logarithmic electrodynamics

Finite field-energy and interparticle potential in logarithmic electrodynamics

Remarks on nonlinear electrodynamics

Remarks on the interquark potential in the presence of a minimal length

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