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arXiv · 1708.00924

Discrete Lorentz symmetry and discrete time translational symmetry

Pei Wang
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Abstract

The Lorentz symmetry and the space and time translational symmetry are fundamental symmetries of nature. Crystals are the manifestation of the continuous space translational symmetry being spontaneously broken into a discrete one. We argue that, following the space translational symmetry, the continuous Lorentz symmetry should also be broken into a discrete one, which further implies that the continuous time translational symmetry is broken into a discrete one. We deduce all the possible discrete Lorentz and discrete time translational symmetries in 1+1-dimensional spacetime, and show how to build a field theory or a lattice field theory that has these symmetries.

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BibTeXRIS

Pei Wang. 2017-08-01. Discrete Lorentz symmetry and discrete time translational symmetry. https://doi.org/10.1088/1367-2630%2Faaaa17

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