Asymptotic States in Non-Local Field Theories
D. G. Barci, L. E. Oxman
TL;DR
This paper investigates the asymptotic states in non-local field theories, particularly a non-local Maxwell-Chern-Simons model, finding that the vacuum is the only asymptotic state in the trivial sector.
Contribution
It introduces a canonical method to analyze asymptotic states in non-local field theories within Minkowski space, applied to a specific non-local Maxwell-Chern-Simons model.
Findings
The only asymptotic state in the trivial sector is the vacuum.
The canonical method effectively analyzes non-local theories in Minkowski space.
Abstract
Asymptotic states in field theories containing non-local kinetic terms are analyzed using the canonical method, naturally defined in Minkowski space. We apply our results to study the asymptotic states of a non-local Maxwell-Chern-Simons theory coming from bosonization in 2+1 dimensions. We show that in this case the only asymptotic state of the theory, in the trivial (non-topological) sector, is the vacuum.
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