# Three topics of monopole dynamics in abelian projected QCD

## TL;DR

This paper investigates monopole dynamics in abelian projected QCD, analyzing $SU(2)$ monopole actions, deriving $SU(3)$ monopole actions, and exploring gauges with abelian and monopole dominance.

## Contribution

It provides detailed analyses of monopole actions after abelian projection and introduces new gauges exhibiting abelian and monopole dominance.

## Key findings

- Couplings fit a universal curve with block-spin transformation.
- Distance dependence of couplings matches a massive propagator with mass 0.8.
- New gauges show abelian and monopole dominance similar to maximally abelian gauge.

## Abstract

Three topics about monopole dynamics after abelian projection are reported. The first is the new and detailed analyses of $SU(2)$ monopole action obtained after the block-spin transformation on the dual lattice. The $b=na(\beta)$ dependence for all couplings are well fitted with a universal curve. The distance dependence of the couplings is well reproduced by a massive propagator with the mass $m=0.8$ in unit of $b$. The second is the $SU(3)$ monopole action recently obtained. The third is new interesting gauges showing abelian and monopole dominances as in the maximally abelian gauge.