Lorentz violation parameters and noncommutative scale

Abstract

We consider the noncommutative Standard Model that contains Lorentz symmetry violation as a subset of the Standard Model extension. We introduce a constant electromagnetic field as a background to derive mutual relations between the free parameters of both theories. As the Lorentz violation parameters of the Standard Model extension are extensively explored in different experiments and many stringent bounds on these parameters are available, we can find new bounds on the scale of noncommutativity of the order of a few to tens of teraelectron volts.Comment: 32 pages, to appear in PR

Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics

“…In this case, for a perfect mirror, corresponding to the limit m → 0, we have Q (mR) → 0 and F 2 → 1/2. From Eq (47), we obtain a torque of order τ M C ∼ 10 −41 Nm. For an imperfect mirror, the magnitude of the torque is smaller.…”

“…In recent years theories with Lorentz symmetry breaking have been a subject of intense investigation in the literature, mostly in the framework of the Standard Model Extension (SME) [1,2]. Some aspects of Lorentz symmetry breaking have been studied, for instance, in classical [3][4][5][6][7][8][9][10][11][12][13][14] and quantum [15][16][17][18][19][20][21][22] electrodynamics, radiative corrections [23][24][25][26][27][28][29][30][31], topological defects [32][33][34][35], electromagnetic wave propagation [36,37], gravity theories [38][39][40][41][42][43][44], noncommutative field theories [45][46][47], among others. On the other hand, the study of models in the presence of nontrivial boundary con...…”

Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam

“…We consider a typical relativistic electron beam with energy of order of E e ∼ O (TeV), the number of electron per bunch is n e ∼ O(10 10 cm −3 ) and the size of beam bunch is of the order ∼ O(µm). The average energy of flux per bunch can be estimated as [5] ¯ e (x, q) ≈ |q| n e (x, q)c ∼ 10 10 TeV/(cm 2 s), (25) which is normalized to the number density of the electrons n e . The interacting time ∆t I can be obtained by taking into account the size of two beams at the interacting point as ∆d c ∆t I , where ∆d is the spatial interval of the interacting spot.…”

“…The minimal SME contains renormalizable operators which are invariant under the gauge group of the standard model, SU (3) × SU (2) × U (1). In recent years, new studies have provided new types of constraints on the LV parameters [25][26][27][28][29]. Among them astrophysical [30][31][32] and Earth [33][34][35] systems have shown stronger bounds on the LV parameters [36].…”

Kink properties in Lorentz-violating scalar field theory

“…However, Lorentz symmetry may be violated due to the quantum gravity in the Plank scale [15]. Noncommutative theories also constitute an essential motivation for study of Lorentz-breaking theories and involve a Lorentzbreaking tensor Θ µν [16,17]. Therefore, it is interesting to restudy a Lorentz covariant theory when a small violation in Lorentz symmetry is allowed.…”