Abstract
We present our calculation of the non-relativistic corrections to the heavy quark-antiquark potential up to leading and next-to-leading order (NLO) via the effective string theory (EST). Full systematics of effective field theory (EFT) are discussed in order for including the NLO contribution that arises in the EST. We also show how the number of dimensionful parameters arising from the EST are reduced by the constraints between the Wilson coeffcients from non-relativistic EFTs for QCD.
Highlights
Confinement in quantum chromodynamics (QCD) is one of the greatest challenges in modern theoretical particle physics community [1]
It raises an issue that the conventional perturbative approach in S U(3) gauge theory, i.e., the perturbative QCD, is no longer a feasible framework for understanding the color interactions amongst particles around the strong scale ΛQCD, it has proven to be successful in the higher energy processes; only the composite forms of particles like various kind of mesons and baryons are detected in the form of jets instead of isolated quarks/antiquarks or gluons, in the experiments
We have briefly discussed about the historical development and the background to the QCD flux tube model, which originates from the Nambu’s suggestion for the heavy mesons at the long-distance limit
Summary
Confinement in quantum chromodynamics (QCD) is one of the greatest challenges in modern theoretical particle physics community [1]. Since the realization of confinement in QCD, Nambu has proposed that the bound states can be described by the flux tube model [2], in which the quark and the antiquark pair is connected by gluon lines, whose tension increases as these particles are separated at the long distance limit (L > Λ−Q1CD), thereafter its flux forms in the shape of a tube. In this formulation, the heavy quark-antiquark pair is treated as a static object, and the gluodynamics is described by the vibrating string which connects the pair.
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