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Open Quantum Systems Decoherence Quantum Simulation

Discrete Lorentz symmetry and discrete time translational symmetry

arXiv
Authors: Pei Wang

Year

2017

Paper ID

44255

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • The Lorentz symmetry and the space and time translational symmetry are fundamental symmetries of nature.

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