From short to long scales in the QCD vacuum

TL;DR

This paper investigates approximate decimations in SU(N) lattice gauge theory to connect short and long distance regimes, providing bounds on the partition function and discussing implications for deriving confinement from first principles.

Contribution

It introduces a method to represent the exact partition function through successive decimations, bridging short and long distance physics in lattice gauge theory.

Findings

Bounds on the partition function established

Representation of the partition function via decimations

Implications for confinement derivation discussed

Abstract

We study approximate decimations in SU(N) LGT that connect the short to long distance regimes, and provide both upper and lower bounds on the exact partition function. This leads to a representation of the exact partition function in terms of successive decimations. The implications for a derivation of confinement from first principles are discussed.