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Renormalization group and conformal symmetry breaking in the Chern-Simons theory coupled to matter

Renormalization group and conformal symmetry breaking in the Chern-Simons theory coupled to matter

The three-dimensional Abelian Chern-Simons theory coupled to a scalar and a fermionic field of arbitrary charge is considered in order to study conformal symmetry breakdown and the effective potential stability. We present an improved effective potential computation based on two-loop calculations and the renormalization group equation: The latter allows us …