On the Absence of Cross-Confinement for Dynamically Generated Multi-Chern–Simons Theories
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Particles and fields physics
We show that when the induced parity breaking part of the effective action for the low-momentum region of U(1) x ... x U(1) Maxwell gauge field theory with massive fermions in 3 dimensions is coupled to a \phi^4 scalar field theory, it is not possible to eliminate the screening of the long-range Coulomb interactions and get external charges confined in the broken Higgs phase. This result is valid for non-zero temperature as well.
Prodanov, E.M. & Sen, S. (1998). On the Absence of Cross-Confinement for Dynamically Generated Multi-Chern–Simons Theories. Physical Letters B, vol. 445, pg. 112-116. doi:10.1016/S0370-2693(98)01487-7.