Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory

Abstract

In this work we study the dynamical generation of mass in the Lorentz-violating low-dimensional Super-Yang-Mills theory in the aether superspace coupled to a scalar matter. We also suggest that our studies can be applied for condensed matter systems, especially lower-dimensional superconductors and topological insulators. In low dimensional materials, the parameter ∆ generated by presence of the aether term can be interpreted as a quantity that renormalizes the propagation velocity of the bosonic mode with respect to the Fermi velocity.

Gauge field theories with Lorentz-violating operators of arbitrary dimension

“…Together with the correspondence (20), the result (24) shows that for odd d > 3 all terms in L A containing the linearized operators ǫ κλµν tr(A λ ∂ (n) F L µν ) can be written as combinations of the operators tr(F κλ D (n−1) F µν ). This provides strong support for the notion that the form (18) incorporates every term with odd d > 3 in the gaugeinvariant action.…”

“…The operators constructed here are potentially of formal theoretical importance in contexts such as studies of causality and stability [20] and the recently uncovered links to Riemann-Finsler geometry [10,21]. They also offer prospective applications to searches for Lorentzinvariant geometric forces extending GR such as torsion [22] and nonmetricity [23], as well as to studies of phenomenological Lorentz-violating scenarios focusing on operators with d > 4 such as supersymmetric models [24] and noncommutative quantum field theories [25].…”

Meson scattering in a Lorentz-violating scalar QED at finite temperature

“…In its turn, the non-minimal sector incorporates all arbitrary mass dimension operators, and although it leads to non-renormalizable theories, it has been also played a central role in formal contexts such as string theory [3,4], Riemann-Finsler geometry [26][27][28][29][30][31][32][33][34], classicalparticle propagation [35], supersymmetric models [36][37][38][39], noncommutative quantum field theories [9,40], among others.…”

Searching for CPT violation with neutral-meson oscillations

“…The minimal SME is the restriction of the full SME to operators of d ≤ 4, which in Minkowski spacetime produces a renormalizable theory. Nonminimal operators with d ≥ 5 also play a central role in formal contexts including studies of string theory [3,25], causality and stability [26], and Riemann-Finsler geometry [27][28][29], in searches for Lorentz-invariant geometric extensions of GR including torsion [30] and nonmetricity [31], and in phenomenological investigations including supersymmetric models [32] and noncommutative quantum field theories [33]. The key notion in the present context is that the SME can be used to predict specific observable signals for CPT violation in the neutral-meson systems.…”