Photon self-interaction on deformed spacetime

Horvat, R.; Trampetić, Josip; You, Jiangyang

doi:10.1103/physrevd.92.125006

Cited by 16 publications

(34 citation statements)

References 47 publications

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“…It turns out that this kink implies the presence of a point charge at the origin via the gravitational junction conditions of f (T ) gravity [54], as the quantities demanded to be continuous in [54] are not all continuous at r = 0 when V (0) = 0. Mathematically this charge is manifest in (21), and figures 4 -8 where the graph insets indicate that r 2 V | r→∞ does not go to zero, and hence an electric charge is present according to (21). One other issue to note is that the effective mass of these solutions, as defined by the integral of ρ, the energy density of the Yang-Mills field, does not converge as strongly as in the purely magnetic counter-parts.…”

Section: Iiiii the Solutionsmentioning

confidence: 97%

“…However, we find that the successful magnetic solutions having this gravitational vanishing criterion at infinity turn out to indeed meet the condition of no global magnetic charge, as defined by (22). Electric solutions are studied separately below, and will turn out to possess a global electric charge dictated by (21). Utilizing the restrictions discussed above, the following set of mutually compatible conditions are chosen in order to proceed with the asymptotically vanishing evolutions in the next section:…”

Section: Iiii Initial Conditions and Asymptoticsmentioning

confidence: 99%

“…As well, f (T ) gravity has been applied to the study of relativistic stellar structure [11] - [14] and, to a lesser extent, black holes [15] - [19]. In relevance to electromagnetism, teleparallel gravity has been used in a number of interesting studies [20], [21], [22]. * adebened@sfu.ca † sasa.ilijic@fer.hr…”

Section: Introductionmentioning

confidence: 99%

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Regular solutions in f(T) -Yang-Mills theory

DeBenedictis

Ilijić²

2018

Phys. Rev. D

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We consider extended covariant teleparallel (f (T )) gravity whose action is analytic in the torsion scalar and which is sourced by an su(2) valued Yang-Mills field. Specifically, we search for regular solutions to the coupled f (T )-Yang-Mills system. For f (T ) = T , not surprisingly, the Bartnik-McKinnon solitons of Einstein Yang-Mills theory are recovered. However, interesting effects are discovered with the addition of terms in the action which are nonlinear in the torsion scalar, which are specifically studied up to cubic order. With the addition of the nonlinear terms the number of regular solutions becomes finite. As well, beyond critical values of the coupling constants it is found that there exist no regular solutions. These behaviors are asymmetric with respect to the sign of the nonlinear coupling constants and the elimination of regular solutions turns out to be extremely sensitive to the presence of the cubic coupling. It may be possible, therefore, that with sufficiently high powers of torsion in the action, there may be no regular Yang-Mills static solutions.

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Section: Iiiii the Solutionsmentioning

confidence: 97%

Section: Iiii Initial Conditions and Asymptoticsmentioning

confidence: 99%

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Regular solutions in f(T) -Yang-Mills theory

DeBenedictis

Ilijić²

2018

Phys. Rev. D

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“…In the Θ-exact SW map approach, the UV/IR mixing is related to phase factor of distinctive star product between commutative fields. The phenomenological implications of the Θ-exact SW map and properties of UV/IR mixing pursued extensively in ref [20,21]. There are enormous amount of work has been done considering Moyal-Weyl (MW) approach [15,[32][33][34][35][36][37] as well as Seiberg-Witten Map approach [38][39][40][41][42][43][44][45][46][47] in order to remove the UV/IR mixing.…”

Section: Introductionmentioning

confidence: 99%

Inferring the covariant Θ-exact noncommutative coupling in the top quark pair production at linear colliders

Selvaganapathy

Konar

Das

2019

J. High Energ. Phys.

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A novel non-minimal interaction of neutral right-handed fermion and abelian gauge field in the covariant Θ-exact noncommutative standard model (NCSM) which is invariant under Very Special Relativity (VSR) Lorentz subgroup, opens an avenue to study the top quark pair production at linear colliders. Here the non-minimal coupling is denoted as κ and the noncommutative (NC) scale Λ. In this work, we consider two types of analysis, one is without considering helicity basis technique and another, considering helicity of the initial and final state particles. Further, the realistic electron and positron beam polarization are taken into account to measure the NC parameters. In the first case, when κ is positive and certain values of Λ, we found that a specific threshold value of machine energy (optimal energy in the units of GeV) √ s 0 ( 2.52 Λ + 39 ) may be quite useful to look for the signature of the spacetime noncommutativity with unpolarized beam. The statistical χ 2 analysis of the azimuthal anisotropy which is due to broken rotational invariance about the beam axis, is quite possible when κ takes negative value 0 > κ > −0.596 which persuade a lower limit on NC scale Λ (1.0 to 2.4 TeV) at κ max = −0.296 with 95% C.L according to luminosity ranging from 100 f b −1 to1000 f b −1 at machine energy √ s = 1.4 TeV and 3.0 TeV. In another case, we perform detailed analysis for the polarized and unpolarized electron-positron beam to probe spacetime noncommutativity in light of following observables like azimuthal anisotropy, helicity correlation, and top quark helicity left-right asymmetry. The polarization of the initial beam {P e − , P e + } = {−0.8, 0.3}({−0.8, 0.6}) enhances the ranges of lower limit on Λ, i.e. 1.13 to 2.80 TeV at κ max alongside the κ max enhanced into −0.5445 (−0.607) 95%C.L accord with luminosity and machine energy. Finally, we studied the intriguing mixing of the UV and the IR by invoking a specific structure of noncommutative antisymmetric tensor Θ µν which is invariant under translational T (2) VSR Lorentz subgroup.

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“…However, there is a case of socalled lightlike unitarity condition, Θ 0i ¼ −Θ 1i , ∀ i ¼ 1, 2, 3 [14], which is regarded as being acceptable with respect to the general unitarity condition of quantum field theories (QFTs) on noncommutative spaces. For Moyal geometry, recently it was proven that there exists a θ-exact formulation of noncommutative gauge field theory based on the Seiberg-Witten map [15][16][17][18][19][20] that preserves unitarity [14], and has improved UV/IR behavior at the quantum level in its supersymmetric version [21][22][23]. Noncommutativity may also have implications on cosmology, as for example through the determination of the maximal decoupling/ coupling temperatures of the right-handed neutrino species in the early universe [24,25].…”

Section: Introductionmentioning

confidence: 99%

UV-IR mixing in nonassociative Snyder ϕ4 theory

et al. 2018

Self Cite

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Using a quantization of the nonassociative and noncommutative Snyder ϕ 4 scalar field theory in a Hermitian realization, we present in this article analytical formulas for the momentum-conserving part of the one-loop two-point function of this theory in D-, 4-, and 3-dimensional Euclidean spaces, which are exact with respect to the noncommutative deformation parameter β. We prove that these integrals are regularized by the Snyder deformation. These results indicate that the Snyder deformation does partially regularize the UV divergences of the undeformed theory, as it was proposed decades ago. Furthermore, it is observed that different nonassociative ϕ 4 products can generate different momentum-conserving integrals. Finally, most importantly, a logarithmic infrared divergence emerges in one of these interaction terms. We then analyze sample momentum nonconserving integral qualitatively and show that it could exhibit IR divergence too. Therefore, infrared divergences should exist, in general, in the Snyder ϕ 4 theory. We consider infrared divergences at the limit p → 0 as UV/IR mixings induced by nonassociativity, since they are associated to the matching UV divergence in the zero-momentum limit and appear in specific types of nonassociative ϕ 4 products. We also discuss the extrapolation of the Snyder deformation parameter β to negative values as well as certain general properties of one-loop quantum corrections in Snyder ϕ 4 theory at the zero-momentum limit.

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Photon self-interaction on deformed spacetime

Cited by 16 publications

References 47 publications

Regular solutions in f(T) -Yang-Mills theory

Regular solutions in f(T) -Yang-Mills theory

Inferring the covariant Θ-exact noncommutative coupling in the top quark pair production at linear colliders

UV-IR mixing in nonassociative Snyder ϕ4 theory

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