A (2+1)-Dimensional Gauge Model with Electrically Charged Fermions |
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Authors: | Khalilov V. R. |
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Affiliation: | (1) Moscow State University, Moscow, Russia |
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Abstract: | We consider a (2+1)-dimensional gauge theory with a nonzero fermion density and an initial Chern–Simons topological term, whose Lorentz invariance is spontaneously broken in a certain Lorentz reference frame by the generation of a constant homogenous magnetic field. We propose interpreting the number =±1, which characterizes the two nonequivalent representations of Dirac matrices in 2+1 dimensions, as a quantum number that explicitly describes the spin of the fermion. In particular, this interpretation allows determining the vacuum state of the model in a constant homogenous magnetic field as the state whose fermion and spin numbers are equal to zero. |
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Keywords: | fermion charge spin Chern– Simons topological term spontaneous symmetry breaking effective Lagrangian |
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