Geographies of Philological Knowledge

Consistency of an alternative CPT-odd and Lorentz-violating extension of QED

“…A Stueckelberg lagrangian for massive photons in a generalized R ξ gauge was studied in [35]. Lorentz-breaking mass terms generated by spontaneous gauge symmetry breaking in a Lorentz-violating gauge-Higgs model were investigated in [36]. In [37], some aspects of this kind of gauge-symmetry breaking were focused in a study of dual models.…”

Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron–electron scattering

“…The kinetic Lorentz-violating term, which we call aether term [20], is a particular version of the more general CPT-even part of the gauge sector of the Standard Model Extension [21,22], and can be radiatively induced [29] when nonminimal couplings to fermions [30] are considered. On the other hand, the Lorentz-breaking mass term in the gauge sector may, for example, be generated by spontaneous gauge symmetry breaking in a Lorentz-violating gauge-Higgs model [23], emerging from the symmetric part of the second-rank background tensor which couples to the kinetic part of the Higgs field. The gauge sector of this model was investigated in detail in [18] and it was shown that it incorporates very interesting features.…”

“…To carry out these calculations we have chosen the spatial part of b µ in the same direction of the outgoing particle with momentum p ′ 1 . Note that at second order in b µ only the aether term, ρ 2 (b µ F µν ) 2 , contributes to the cross section, since only the parameter ρ appears in (23). This is because in the expression for τ , the coefficient of the transversal operator θ µν = g µν − k µ k ν k 2 does not depend on the β parameter, which appears only in the coefficient of the operator Λ µν = b µ b ν .…”

“…The aether term is a particular case of the more general CPT-even Lorentz-violating kinetic part of SME. On the other hand, the Lorentz-violating mass term can be generated by spontaneous gauge symmetry breaking [23], coming from the symmetric part of the second-rank background tensor which couples to the kinetic part of the Higgs field. Models with Lorentz-violating mass terms [24][25][26][27] may present lots of interesting aspects, like superluminal modes or even instantaneous long-range interactions.…”