A new Galileon based charged matter theory -- a possible candidate for fracton gauge theory


الملخص بالإنكليزية

We have mooted a new charged scalar field theory using a doublet of the Galileon scalar field instead of the usual Klein Gordon real scalar fields. Our model for the charged scalar field have a few remarkable properties like Poincare invariance , Abelian gauge symmetry and shift symmetries. The existence of two independent gauge symmetries is a welcome news for fracton physics.Whereas phase rotation in $phi$ space leads to the conservation of electric charge , the additional symmetries correspond to the conservation of a scalar charge and a vector charge. The system is shown to resemble matter in the fracton phase. Consequently, the results in this letter have immense possibilities in fracton physics.

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