Aspects of quantum corrections in a Lorentz-violating extension of the Abelian Higgs model

Abstract

We investigate new aspects related to the abelian gauge-Higgs model with the addition of the CarrollField-Jackiw term. We focus on one-loop quantum corrections to the photon and Higgs sectors due to spontaneous breaking of gauge symmetry and show that new finite and definite Lorentz-breaking terms are induced. Specifically in the gauge sector, a CPT-even aether term is induced. Besides, aspects of the one-loop renormalization of the background vector dependent terms are discussed.

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

“…The Lorentz-violating (LV) terms, generated as vacuum expectation values of tensors defined in a high energy scale, are coupled to the physical fields yielding coordinate invariance and violation of Lorentz symmetry in the particle frames [11]. This theoretical framework has inspired a large number of investigations in the last several years, encompassing fermion systems [12][13][14][15][16][17][18][19][20], CPT-probing experiments [21][22][23][24][25][26][27], the electromagnetic CPT-and Lorentzodd term [28]- [41], the CPT-even and Lorentz-odd gauge sector and its interactions with fermions [42][43][44][45][46][47][48][49][50][51], [52][53][54][55][56][57]. Recent investigations involving higher dimensional operators [58][59][60], its possible connections with LV theories [61][62][63][64][65][66], and nonminimal couplings …”

Dual embedding of extended models with a Lorentz-breaking mass term

“…, yields for the pure gauge sector: µ being a constant background vector, we match the form of Lorentz breaking mass radiatively induced in [27]. Besides, let us consider that we have only one preferred spacetime direction, such that c µ ∝ b µ .…”

“…It can also emerge, along with a CPT-even aether term for the gauge sector, by quantum corrections in a gauge-Higgs model with a Carroll-FieldJackiw term [27]. We are particularly interested in the kind of mass term which has been quantically induced in [27]. Since the aether term of [16] is induced along with this mass term, it will also be considered here.…”

“…Lorentz-breaking mass terms can also be generated by spontaneous gauge symmetry breaking in a Lorentz-violating gauge-Higgs model [26], coming from the symmetric part of the second-rank background tensor which couples to the kinetic part of the Higgs field. It can also emerge, along with a CPT-even aether term for the gauge sector, by quantum corrections in a gauge-Higgs model with a Carroll-FieldJackiw term [27]. We are particularly interested in the kind of mass term which has been quantically induced in [27].…”

Remarks on a Lorentz-breaking 4D chiral gauge theory

“…Thus, it remains to investigate the terms which depend on the background vector b µ . In what concerns the b µ dependent terms, we adopt a procedure similar to the one used in [19]. The redefinition of the complex scalar field is such that the vacuum expectation value ρ 0 of the field ρ should vanish at the classical level, that is, δm 2 = 0.…”