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Title: Constituent gluons and the static quark potential

Abstract

We suggest that Hamiltonian matrix elements between physical states in QCD might be approximated, in Coulomb gauge, by "lattice-improved" tree diagrams; i.e. tree diagram contributions with dressed ghost, transverse gluon, and Coulomb propagators obtained from lattice simulations. Such matrix elements can be applied to a variational treatment of hadronic states which include constituent gluons. As an illustration and first application of this hybrid approach, we derive a variational estimate of the heavy quark potential for distances up to 2.5 fm. The Coulomb string tension in SU(3) gauge theory is about a factor of four times greater than the asymptotic string tension. In our variational approach, using for simplicity a single variational parameter, we can reduce this overshoot by nearly the factor required. The building blocks of our approach are Coulomb gauge propagators, and in this connection we present new lattice results for the ghost and transverse gluon propagators in position space.

Authors:
 [1];  [2]
  1. San Francisco State Univ., CA (United States)
  2. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1248164
Report Number(s):
JLAB-THY-15-2057; DOE/OR/23177-3371; arXiv:1505.05104
Journal ID: ISSN 2470-0010; PRVDAQ
DOE Contract Number:  
FG03-92ER40711; FG0287ER40365; AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 7; Journal ID: ISSN 2470-0010
Country of Publication:
United States
Language:
English

Citation Formats

Greensite, Jeff, and Szczepaniak, Adam P. Constituent gluons and the static quark potential. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.074506.
Greensite, Jeff, & Szczepaniak, Adam P. Constituent gluons and the static quark potential. United States. doi:10.1103/PhysRevD.93.074506.
Greensite, Jeff, and Szczepaniak, Adam P. Fri . "Constituent gluons and the static quark potential". United States. doi:10.1103/PhysRevD.93.074506. https://www.osti.gov/servlets/purl/1248164.
@article{osti_1248164,
title = {Constituent gluons and the static quark potential},
author = {Greensite, Jeff and Szczepaniak, Adam P.},
abstractNote = {We suggest that Hamiltonian matrix elements between physical states in QCD might be approximated, in Coulomb gauge, by "lattice-improved" tree diagrams; i.e. tree diagram contributions with dressed ghost, transverse gluon, and Coulomb propagators obtained from lattice simulations. Such matrix elements can be applied to a variational treatment of hadronic states which include constituent gluons. As an illustration and first application of this hybrid approach, we derive a variational estimate of the heavy quark potential for distances up to 2.5 fm. The Coulomb string tension in SU(3) gauge theory is about a factor of four times greater than the asymptotic string tension. In our variational approach, using for simplicity a single variational parameter, we can reduce this overshoot by nearly the factor required. The building blocks of our approach are Coulomb gauge propagators, and in this connection we present new lattice results for the ghost and transverse gluon propagators in position space.},
doi = {10.1103/PhysRevD.93.074506},
journal = {Physical Review D},
issn = {2470-0010},
number = 7,
volume = 93,
place = {United States},
year = {2016},
month = {4}
}