A note on “Electron self-energy in logarithmic electrodynamics” by P. Gaete and J. Helayël-Neto

Гитман, Д. М.; Shabad, A. E.

doi:10.1140/epjc/s10052-014-3186-7

Cited by 34 publications

(21 citation statements)

References 5 publications

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“…From Eqs. (6), (8) we observe that the relation D · H = ε 2 E · B holds. As a result, D · H = E · B, and according to [5] (see also [35]) we make a conclusion that the dual symmetry is violated in our model.…”

Section: Nonlinear Arcsin-electrodynamicsmentioning

confidence: 57%

“…It was also shown that Maxwell and BI theories bear both dual invariance [5,6] (see also [7]). Some models of NED were proposed where there is no singularity of the electric field at the origin of charged particles and the total electromagnetic energy is finite [8][9][10][11]. The finiteness of the electric energy of charged particles makes it passible to treat the mass of the electron as a pure electromagnetic energy.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear arcsin‐electrodynamics and asymptotic Reissner‐Nordström black holes

Kruglov

2016

Annalen der Physik

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A model of nonlinear electrodynamics with the Lagrangian density L = −(1/β) arcsin(βF µν F µν /4) is proposed. The scale invariance and the dual invariance of electromagnetic fields are broken in the model. In the limit β → 0 one comes to Maxwell's electrodynamics and the scale and dual invariances are recovered. We investigate the effect of coupling electromagnetic fields with the gravitational field. The asymptotic black hole solution is found which is similar to the Reissner-Nordström solution. We obtain corrections to Coulomb's law and to the Reissner-Nordström solution in the model proposed. The existence of the regular asymptotic at r → 0 was demonstrated. The mass of the black hole is calculated possessing the electromagnetic origin. It was shown that there are not superluminal fluctuations and principles of causality and unitarity take place.

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Section: Nonlinear Arcsin-electrodynamicsmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Nonlinear arcsin‐electrodynamics and asymptotic Reissner‐Nordström black holes

Kruglov

2016

Annalen der Physik

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“…Making use of Eqs. (21) and (40) and introducing unitless parameter y = (2/(βq 2 m )) 1/4 r we obtain the metric function…”

Section: Magnetic Bhmentioning

confidence: 99%

“…The analysis of the metric function can be performed with the help of the exact mass function (25), which is valid for any r = 0, and the definition of A(r) given in Eq. (21). We will make this analysis in Sec.…”

Section: Introductionmentioning

confidence: 99%

Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Kruglov¹

2019

Annals of Physics

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Dyonic and magnetic black holes solutions with spherically symmetric configurations in general relativity are obtained. Black holes possessing electric and magnetic charges are studied where the source of the gravitational field is electromagnetic fields obeying the arcsinelectrodynamics. We find corrections to Coulomb's law and Reissner− Nordström solutions. The principles of causality and unitarity are investigated. We obtain the Hawking temperature and it was shown that at some event horizons there are second-order phase transitions. of relativistic magnetohydrodynamics [12]. The superconductivity was studied in [13] and thermodynamic properties of the dyonic BH were investigated in [14]. All these show the importance of studying dyonic BHs.In this paper we investigate the dyonic BH in the framework of the nonlinear arcsin-electrodynamics. The nonlinear electrodynamics (NED) can solve the problems of singularities in the origin of particles and the problem of infinite self-energy at the classical level. Born and Infeld (BI) [15] proposed the model of NED that can solve problems of singularities. Heisenberg and Euler have shown that QED due to loop corrections gives NED [16]. Then some NED models were appeared that possess similar properties [17]- [27]. NED's coupled to general relativity (GR) were studied in [28]- [40]. Thermodynamics of the BH and corrections to Reisner−Nordström (RN) solutions were investigated [41]- [48]. Electrically and magnetically charged BHs were studied [49]- [56]. It was demonstrated that phase transitions can occur in the BH. Inflation and current acceleration of the universe also can be explained by NED coupled to GR [57]- [66].The paper is organized as follows. The principles of causality and unitarity of arcsin-electrodynamics are considered in section 2. In section 3 the dyonic solution of the BH is obtained. Corrections to Coulomb's law and RN solutions are found. The curvature singularities are studied and we calculate the Kretschmann scalar. The thermodynamics of the BH is considered in section 4. The Hawking temperature of the BH is obtained. In section 5 we study the magnetically charged BH. We show that at some model parameters there can be naked singularities, extremal BH solutions and BH solutions with two horizons. The Hawking temperature and corrections to RN solution are found. We show the possibility of phase transitions in the BH. Section 6 is devoted to a conclusion.We use units with c = 1, k B = 1, and signature η = diag(−, +, +, +).

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“…[8] Another attractive feature of some NLED is that there is an upper limit on the electric field at the origin of point-like particles and the selfenergy of charges is finite. Thus, in NLED models [9][10][11][12] there are no problems of singularity and the infinite self-energy of charged particles. In quantum electrodynamics nonlinear terms appear due to loop corrections.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Electrodynamics and Magnetic Black Holes

Kruglov

2017

Annalen der Physik

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A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at r → ∞ and r → 0, and corrections to the Reissner-Nordström solution are found. We investigate thermodynamics of black holes and calculate the Hawking temperature and heat capacity of black holes. It is shown that there are phase transitions and at some parameters of the model black holes are stable.The units with c = = 1, ε 0 = μ 0 = 1 are used and the metric signature is η = diag(

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A note on “Electron self-energy in logarithmic electrodynamics” by P. Gaete and J. Helayël-Neto

Cited by 34 publications

References 5 publications

Nonlinear arcsin‐electrodynamics and asymptotic Reissner‐Nordström black holes

Nonlinear arcsin‐electrodynamics and asymptotic Reissner‐Nordström black holes

Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Nonlinear Electrodynamics and Magnetic Black Holes

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