Constraining Born–Infeld-like nonlinear electrodynamics using hydrogen’s ionization energy

Akmansoy, P. Niau; Medeiros, L. G.

doi:10.1140/epjc/s10052-018-5643-1

Cited by 34 publications

(24 citation statements)

References 44 publications

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“…When confronted with those obtained in low-energy experiments, as in [14], our constraints are up to 20 orders of magnitude lower for α = β. In [18] in which the effects of Born-Infeld-like theories were analyzed using the hydrogen's ionization energy, the lower bound b ≥ 1.07 × 10 21 V m −1 , corresponding to α = β ≤ 8.1 × 10 4 GeV −4 , is 14 orders of magnitude larger. Lastly, 12 orders of magnitude of precision were obtained when comparing the upper bound for the Born-Infeld parameter in Ref.…”

Section: Discussionmentioning

confidence: 99%

“…In particular, this framework can be used to study arXiv:1809.01296v2 [hep-ph] 24 Jun 2019 how the modification of Coulomb's potential due to NLED affects the ground-state energy. Comparison with experimental results constrains the magnitude of these corrections and, consequently, the parameters of the theory [16][17][18]. It is noteworthy that the complete Lagrangian is needed in this procedure, which imposes a particular analysis for each theory.…”

Section: Introductionmentioning

confidence: 99%

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Constraining nonlinear corrections to Maxwell electrodynamics using γγ scattering

Akmansoy

Medeiros

2019

Phys. Rev. D

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The recent light-by-light scattering cross section measurement made by the ATLAS Collaboration is used to constrain nonlinear corrections to Maxwell electrodynamics parametrized by the Lagrangian L = F + 4αF 2 + 4βG 2 + 4δFG. The ion's radiation is described using the equivalent photon approximation, and the influence of four different nuclear charge distributions is evaluated. Special attention is given to the interference term between the Standard Model and the nonlinear corrections amplitudes. By virtue of the quadratic dependence on α, β and δ, the nonlinear contribution to the Standard Model γγ cross section is able to delimit a finite region of the parameter's phase space. The upper values for α, β in this region are of order 10 −10 GeV −4 , a constraint of at least 12 orders of magnitude more precise when compared to low-energy experiments. An upper value of the same order for δ is obtained for the first time in the LHC energy regime. We also give our predictions for the Standard Model cross section measured at ATLAS for each distribution and analyze the impact of the absorption factor. We finally give predictions for the future measurements to be done with upgraded tracking acceptance |η| < 4 by the ATLAS Collaboration.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Constraining nonlinear corrections to Maxwell electrodynamics using γγ scattering

Akmansoy

Medeiros

2019

Phys. Rev. D

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“…(24) and (29), by making use of fiducial magnetar parameters [R = 10 km and M = 1.4 M ], it follows that |ε Ma | = 1.20× 10 −6 . Taking into account hydrogen experiment outcomes [26], one learns that the absolute minimum value for Born-Infeld's scale field is b min ≈ 3.96 × 10 15 statvolt cm −1 (or b min ≈ 3.96 × 10 15 G) [20] [most recent data for the mass and charge of the electron have been used]. Thus, from the above and Eqs.…”

Section: Possible Astrophysical Implications Of Born-infeld Magnetarsmentioning

confidence: 99%

“…It already has an exact black hole solution [see for instance 22, and references therein] though in this context singularities are unavoidable [23]. When applied to the hydrogen atom, Born-Infeld theory as the description for electromagnetic interactions meets the observational spectrum of this atom only if its scale factor b is larger than the one inferred by Born and Infeld themselves within the unitarian viewpoint [24][25][26], approximately 10 15 statvolt cm −1 (or also 10 15 G) [20] (around 100 times QED's critical fields [19]). There are also constraints on b coming from particle accelerators.…”

Section: Introductionmentioning

confidence: 99%

Born–Infeld magnetars: larger than classical toroidal magnetic fields and implications for gravitational-wave astronomy

2018

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Magnetars are neutron stars presenting bursts and outbursts of X-and soft-gamma rays that can be understood with the presence of very large magnetic fields. Thus, nonlinear electrodynamics should be taken into account for a more accurate description of such compact systems. We study that in the context of ideal magnetohydrodynamics and make a realization of our analysis to the case of the well known Born-Infeld (BI) electromagnetism in order to come up with some of its astrophysical consequences. We focus here on toroidal magnetic fields as motivated by already known magnetars with low dipolar magnetic fields and their expected relevance in highly magnetized stars. We show that BI electrodynamics leads to larger toroidal magnetic fields when compared to Maxwell's electrodynamics. Hence, one should expect higher production of gravitational waves (GWs) and even more energetic giant flares from nonlinear stars. Given current constraints on BI's scale field, giant flare energetics and magnetic fields in magnetars, we also find that the maximum magnitude of magnetar ellipticities should be 10 −6 − 10 −5 . Besides, BI electrodynamics may lead to a maximum increase of order 10% − 20% of the GW energy radiated from a magnetar when compared to Maxwell's, while much larger percentages may arise for other physically motivated scenarios. Thus, nonlinear theories of the electromagnetism might also be probed in the near future with the improvement of GW detectors.

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“…Recently, it has been shown that compatibility of this NED in D = 4 with hydrogen's ionization energy allows to constrain the Born-Infeld parameter as µ −1 > 1.074 × 10 21 V /m; see[84] for details.…”

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confidence: 99%

Structure and thermodynamics of charged nonrotating black holes in higher dimensions

2019

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We analyze the structural and thermodynamic properties of D-dimensional (D ≥ 4), asymptotically flat or Anti-de-Sitter, electrically charged black hole solutions, resulting from the minimal coupling of general nonlinear electrodynamics to General Relativity. This analysis deals with static spherically symmetric (elementary) configurations with spherical horizons. Our methods are based on the study of the behaviour (in vacuum and on the boundary of their domain of definition) of the Lagrangian density functions characterizing the nonlinear electrodynamic models in flat spacetime. These functions are constrained by some admissibility conditions endorsing the physical consistency of the corresponding theories, which are classified in several families, some of them supporting elementary solutions in flat space which are non topological solitons. This classification induces a similar one for the elementary black hole solutions of the associated gravitating nonlinear electrodynamics, whose geometrical structures are thoroughly explored. A consistent thermodynamic analysis can be developed for the subclass of families whose associated black hole solutions behave asymptotically as the Schwarzschild metric (in absence of a cosmological term). In these cases we obtain the behaviour of the main thermodynamic functions, as well as important finite relations among them. In particular, we find the general equation determining the set of extreme black holes for every model, and a general Smarr formula, valid for the set of elementary black hole solutions of such models. We also consider the one-parameter group of scale transformations, which are symmetries of the field equations of any nonlinear electrodynamics in flat spacetime. These symmetries are respected by the minimal coupling to gravitation and induce representations of the group in the spaces of solutions of the different models, characterized by their thermodynamic functions. Exploiting this fact we find the expression of the equation of state of the set of black hole solutions associated to any model. These results are generalized to asymptotically Anti-de-Sitter solutions.

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Constraining Born–Infeld-like nonlinear electrodynamics using hydrogen’s ionization energy

Cited by 34 publications

References 44 publications

Constraining nonlinear corrections to Maxwell electrodynamics using γγ scattering

Constraining nonlinear corrections to Maxwell electrodynamics using γγ scattering

Born–Infeld magnetars: larger than classical toroidal magnetic fields and implications for gravitational-wave astronomy

Structure and thermodynamics of charged nonrotating black holes in higher dimensions

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