Field Correlator Method for the confinement in QCD

TL;DR

The paper discusses the Field Correlator Method (FCM) as a comprehensive approach to understanding confinement in QCD, demonstrating its consistency and relation to other models, and exploring its physical implications.

Contribution

It provides a detailed validation of FCM's effectiveness in describing QCD confinement and compares it with other existing approaches, establishing its self-consistency and physical relevance.

Findings

FCM satisfies all key criteria for confinement in QCD.

The string tension is identified as the fundamental scale parameter.

Explicit calculation of {\Lambda}_QCD in terms of the string tension.

Abstract

The theory of confinement based on the stochastic field mechanism, known as the Field Corrleator Method (FCM) is discussed in detail. Experimental and lattice data have accumulated a vast amount of material on the properties of confinement in QCD. We enumerateall these properties as 1)-7), and discuss beyond FCM two existing approaches: monopole based Dual Ginzburg-Landau (DGL) theory,and Gribov-Zwanziger model, from this point of view. It is shown that the FCM satisfies all required criteria. We also prove its selfconsistency; in particular, it is shown that the string tension {\sigma} is the only scaleful parameter in the theory beyond fermion masses, and {\Lambda}_QCD is calculated explicitly to the lowest order in terms of {\sigma}. We also formulate physical consequences of confinement, such as string breaking,Regge trajectories, role of confinement in the perturbation theory, chiral symmetry breaking, confinement in the boosted systems etc. It is demonstrated that the FCM is a suitable tool for the solution of these problems.