Spin dependent masses and symmetry

Abstract

Recently, Cohen and Glashow pointed out that all known experimental tests of relativistic kinematics are consistent with invariance of physics under the four-parameter subgroup Sim(2) of the Lorentz group. The massive one-particle irreducible representations of ISim (2), that is Sim(2) times spacetime translations, are all one-dimensional, labeled by spin along a preferred axis. Consequently particle theories based on this symmetry can accomodate lepton number conserving masses for left-handed neutrinos without the need to introduce sterile states. The same property of massive particle representations, however, also leads to the possibility that particle masses may be split within the diffferent spins of a representation of the ordinary Poincare group. In this article we investigate the low-energy structure of theories with spin dependent masses and comment on the bounds on such effects.

Born–Infeld electrodynamics in very special relativity

“…VSR generalizations have been studied in the context of nonrelativistic limit of the Dirac equation [7] and the hydrogen atom [8], as well as in curved space-time [9], also to include supersymmetric extensions [10] and Abelian and non-Abelian gauge fields [11,12], and to explore consequences in cosmology [13]. Although VSR generalizations for Maxwell and Yang-Mills field theories have been developed in Refs.…”

General very special relativity is Finsler geometry

“…The free Maxwell equations are also invariant under the action of the Weyl group and so they too are clearly invariant under DISIM b 2. (19), the case b 1 is special: The additional term may then be removed by a phase transformation of the form ! e imn x .…”

Lorentz violating p-form gauge theories in superspace

“…[3]. A few other observable consequences of VSR have also been given in [4,5]. In recent past, VSR has been studied in various contexts.…”