# Generalizations of the Sommerfield and Schwinger models

## TL;DR

This paper explores generalized versions of the Sommerfield and Schwinger models in 1+1 dimensions, analyzing their solvable structures and low-energy conformal behaviors with multiple fermions and vector fields.

## Contribution

It introduces new generalized models extending the original Sommerfield and Schwinger models, examining their solvability and low-energy conformal properties.

## Key findings

- Existence of massive bosons in generalized models
- Presence of unparticle sectors as conformal field theories
- Extension of solvable structures to multiple fermions and vector fields

## Abstract

The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The "physics" of the model comprises a massive boson and an unparticle sector that survives at low energy as a conformal field theory (Thirring model). We analyze generalizations of the Sommerfield model, and the corresponding generalizations of the Schwinger model, with more massless fermions and more vector fields.