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

2015/12/31 by Cheng-Yang Lee · 1 citation
Physics and Astronomy · #hep-th #hep-ph

paper · pdf · doi:10.1103/physrevd.93.045011

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

arxiv created 2016/02/22 · arxiv updated 2016/02/23

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 ISIM(2), 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.

Citations

• Symmetries of Elko and massive vector fields

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