Long range interactions and the 3D asymptotic fermion spectrum
Daniel G. Barci, Luis E. Oxman
TL;DR
This paper investigates how long-range interactions affect the stability of asymptotic fermion states in (2+1)D using bosonization, focusing on potential instabilities in vortex-related actions at large distances.
Contribution
It introduces an analysis of the impact of long-range interactions on fermion state stability within the bosonization framework, highlighting potential large-distance instabilities.
Findings
Identification of possible instabilities in vortex worldline actions at large distances
Analysis of the fermion propagator in the presence of long-range interactions
Insights into the stability of asymptotic fermion states in (2+1)D
Abstract
In this article, we study the stability of the space of asymptotic fermion states in (2+1)D, when long range interparticle interactions are present. This is done in the framework of bosonization, where the fermion propagator can be represented in terms of a vortex correlator. In particular, we discuss possible instabilities in the large distance behavior of the induced action for the vortex worldline.
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