Discrete Lorentz symmetry and discrete time translational symmetry
نویسنده
چکیده
The Lorentz symmetry and the space and time translational symmetry are fundamental symmetries of nature. Crystals are themanifestation 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 showhow to build afield theory or a lattice field theory that has these symmetries.
منابع مشابه
Discrete Lorentz symmetry and discrete time translational symmetry
The Lorentz symmetry and the space and time translational symmetry are fundamental symmetries of nature. Crystals are themanifestation 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 con...
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