# On the spectrum of DW Hamiltonian of quantum SU(2) gauge field

## TL;DR

This paper demonstrates that the spectrum of the DW Hamiltonian for quantum SU(2) Yang-Mills theory is discrete and bounded, with a mass gap scale related to the ultraviolet parameter from precanonical quantization.

## Contribution

It provides a novel analysis of the mass spectrum of the DW Hamiltonian in quantum SU(2) gauge theory, establishing discreteness and a mass gap scale.

## Key findings

- Spectrum is purely discrete and bounded from below.
- Mass gap scale is of the order of the ultraviolet parameter.
- Results are derived within the framework of precanonical quantization.

## Abstract

The spectrum of masses of the colorless (color neutral) states of the DW (De Donder-Weyl) Hamiltonian operator of quantum SU(2) Yang-Mills field theory on $\mathbb{R}^D$ obtained via the precanonical quantization is shown to be purely discrete and bounded from below. The scale of the mass gap is estimated to be of the order of magnitude of the scale of the ultra-violet parameter $\varkappa$ introduced by precanonical quantization on dimensional grounds.