On the Absence of Cross-Confinement for Dynamically Generated Multi-Chern-Simons Theories
Emil M. Prodanov, Siddhartha Sen

TL;DR
This paper demonstrates that in a 3D U(1) gauge theory with massive fermions coupled to a scalar field, long-range Coulomb interactions cannot be confined, even in the Higgs phase, at any temperature.
Contribution
It reveals the impossibility of eliminating Coulomb screening in a specific 3D gauge-scalar coupled system, highlighting limitations of confinement in such theories.
Findings
Long-range Coulomb interactions remain unscreened in the studied model.
Confinement of external charges is not achievable in the broken Higgs phase.
The result holds true at both zero and non-zero temperatures.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
