# Scaling behavior at the tricritical point in the fermion-gauge-scalar model

## TL;DR

This paper studies the critical behavior of a lattice U(1) gauge theory with fermions and scalars near a tricritical point, focusing on mass scaling and phase transitions to understand potential continuum limits.

## Contribution

It provides new insights into the scaling behavior at the tricritical point in a fermion-gauge-scalar lattice model, including confirmation of mean-field exponents.

## Key findings

- Masses of composite fermions and bosonic states scale near the tricritical point.
- Confirmation of mean-field critical exponents at the U(1)-Higgs model endpoint.
- Analysis suggests possible continuum limit with dynamical mass generation.

## Abstract

We investigate a strongly coupled U(1) gauge theory with fermions and scalars on the lattice and analyze whether the continuum limit might be a renormalizable theory with dynamical mass generation. Most attention is paid to the phase with broken chiral symmetry in the vicinity of the tricritical point found in the model. There we investigate the scaling of the masses of the composite fermion and of some bosonic bound states. As a by-product we confirm the mean-field exponents at the endpoint in the U(1)-Higgs model, by analyzing the scaling of the Fisher zeros.