Partition Function Zeros in Non-compact QED

TL;DR

This paper investigates the zeros of the lattice partition function in non-compact QED, analyzing their distribution and scaling behavior across different lattice sizes at intermediate coupling values.

Contribution

It provides the first detailed analysis of the scaling of partition function zeros in non-compact QED across multiple lattice sizes.

Findings

Zeros are located in the complex fermion mass plane at various lattice sizes.

The scaling behavior of the low-lying zeros is characterized.

Results suggest insights into phase transitions in non-compact QED.

Abstract

The lowest zeros of the lattice partition function for non-compact QED are found in the complex fermion mass plane on $6^4$, $8^4$ and $10^4$ lattices at intermediate values of the coupling. The scaling of the low lying zeros with lattice size is analysed.