TL;DR
This paper investigates the mass anomalous dimension in gauge theories with infrared fixed points by applying the mode number method to the Schwinger model, comparing lattice results with known analytical solutions.
Contribution
It demonstrates the application of the mode number method to the Schwinger model to analyze systematic errors, providing a benchmark with analytical results.
Findings
Mode number method yields results consistent with analytical solutions.
Systematic errors in the method are identified and analyzed.
Provides insights into the reliability of the method for more complex theories.
Abstract
The mass anomalous dimension for several gauge theories with an infrared fixed point has recently been determined using the mode number of the Dirac operator. In order to better understand the sources of systematic error in this method, we apply it to a simpler model, the massive Schwinger model with two flavours of fermions, where analytical results are available for comparison with the lattice data.
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