# Dual Lattice Blockspin Transformation and Monopole condensation in QCD

## TL;DR

This paper reviews abelian monopole condensation in QCD, focusing on deriving effective monopole actions via blockspin transformations, and demonstrates monopole condensation in both SU(2) and SU(3) QCD.

## Contribution

It introduces a method to obtain the effective monopole action using blockspin transformations, linking to the renormalized trajectory in SU(2) QCD and confirming monopole condensation in SU(3) QCD.

## Key findings

- Effective monopole action derived via blockspin transformation.
- Monopole condensation confirmed in SU(3) QCD.
- Disorder parameter constructed for confinement analysis.

## Abstract

Recent studies of confinement based on the idea of abelian monopole condensation are reviewed briefly. Emphasis is placed on the approach to get the effective monoole action using the blockspin transformation on the dual lattice. The trajectory obtained looks to be the renormalized one in $SU(2)$ QCD. A disorder parameter of confinement is constructed. Monopole condensation occurs also in $SU(3)$ QCD.