# "On the Absence of Cross--Confinement for Dynamically Generated
Multi--Chern--Simons Theories"

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm9915.html
**Parent**: https://www.maths.tcd.ie/research/papers/

**"On the Absence of Cross--Confinement for Dynamically Generated
Multi--Chern--Simons Theories"**

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.