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Schwinger Model \`a la Very Special Relativity
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abstract
In this work, we show that Lorentz invariant theories in $1+1$ dimensions admit new terms inspired by Very Special Relativity (VSR) theories. We have studied the Schwinger model in VSR. We show the axial current is classically conserved in the presence of a mass term coming from the VSR invariant terms but without standard Lorentz invariant mass. Furthermore, it is shown that both the vector current as well as the axial current are modified with respect to the free case when the fermion is coupled to an external electromagnetic field due to the nonlocal operator present in the theory. The axial anomaly is computed, and we found the same standard topological invariant with a modification in the coefficient.
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Cited by 1 Pith paper
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Meson spectrum in $QCD_2$ revisited
Adding VSR-style Lorentz-invariant terms to two-dimensional QCD does not alter the 't Hooft meson spectrum; a gluon-mass regulator recovers the standard equation in the zero-mass limit.
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