# Search for Effective Lattice Action of Pure QCD

## TL;DR

This paper investigates the renormalization group flow of pure QCD gauge systems using Monte Carlo methods, compares four different actions, and assesses how they restore rotational symmetry near the renormalized trajectory.

## Contribution

It provides a comparative analysis of four lattice actions and identifies how their proximity to the renormalized trajectory improves rotational symmetry restoration.

## Key findings

- The renormalized trajectory is roughly located in two coupling space.
- Rotational symmetry restoration improves as actions approach the renormalized trajectory.
- Different actions show varying effectiveness in symmetry restoration.

## Abstract

We study a coupling flow of pure QCD gauge system by using the Monte Carlo Renormalization Group method. A rough location of the renormalized trajectory in two coupling space is obtained. Also we compare 4 different actions; (a)standard Wilson, (b)Symanzik's, (c)Iwasaki's and (d)QCDTARO's. The rotational symmetry is restored better as an action gets close to the renormalized trajectory.