paper

Quantum field theory with a preferred direction: The very special relativity framework

arXiv:1512.09175 · doi:10.1103/PhysRevD.93.045011

Abstract

The theory of very special relativity (VSR) proposed by Cohen and Glashow contains an intrinsic preferred direction. Starting from the irreducible unitary representation of the inhomogeneous VSR group , we present a rigorous construction of quantum field theory with a preferred direction. We find, although the particles and their quantum fields between the VSR and Lorentz sectors are physically different, they share many similarities. The massive spin-half and spin-one vector fields are local and satisfy the Dirac and Proca equations respectively. This result can be generalised to higher-spin field theories. By studying the Yukawa and standard gauge interactions, we obtain a qualitative understanding on the effects of the preferred direction. Its effect is manifest for polarised processes but are otherwise absent.

18 pages, 4 figures. Typos corrected. Published in Phys. Rev. D 93, 045011 (2016). arXiv admin note: text overlap with arXiv:1306.5491

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