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Title: Constituent gluon content of the static quark-antiquark state in Coulomb gauge

Abstract

Motivated by the gluon-chain model of flux tube formation, we compute and diagonalize the transfer matrix in lattice SU(2) gauge theory for states containing heavy static quark-antiquark sources, with separations up to one Fermi. The elements of the transfer matrix are calculated by variational Monte Carlo methods, in a basis of states obtained by acting on the vacuum state with zero-, one-, and two-gluon operators in Coulomb gauge. The color Coulomb potential is obtained from the zero-gluon to zero-gluon element of the transfer matrix, and it is well known that while this potential is asymptotically linear, it has a slope which is 2 to 3 times larger than the standard asymptotic string tension. We show that the addition of one- and two-gluon states results in a potential which is still linear, but the disagreement with the standard asymptotic string tension is reduced to 38% for the variational states used in this study, at the largest value of {beta}=4/g{sup 2}=2.4 considered.

Authors:
 [1];  [2]
  1. Physics and Astronomy Department, San Francisco State University, San Francisco, California 94132 (United States)
  2. Institute of Physics, Slovak Academy of Sciences, SK-845 11 Bratislava (Slovakia)
Publication Date:
OSTI Identifier:
21300868
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.79.114501; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMPTOTIC SOLUTIONS; COLOR MODEL; COULOMB FIELD; GAUGE INVARIANCE; GLUON MODEL; GLUONS; LATTICE FIELD THEORY; MONTE CARLO METHOD; POTENTIALS; QUARK-ANTIQUARK INTERACTIONS; SU-2 GROUPS; VACUUM STATES; VARIATIONAL METHODS

Citation Formats

Greensite, J, and Olejnik, S. Constituent gluon content of the static quark-antiquark state in Coulomb gauge. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.114501.
Greensite, J, & Olejnik, S. Constituent gluon content of the static quark-antiquark state in Coulomb gauge. United States. doi:10.1103/PHYSREVD.79.114501.
Greensite, J, and Olejnik, S. Mon . "Constituent gluon content of the static quark-antiquark state in Coulomb gauge". United States. doi:10.1103/PHYSREVD.79.114501.
@article{osti_21300868,
title = {Constituent gluon content of the static quark-antiquark state in Coulomb gauge},
author = {Greensite, J and Olejnik, S},
abstractNote = {Motivated by the gluon-chain model of flux tube formation, we compute and diagonalize the transfer matrix in lattice SU(2) gauge theory for states containing heavy static quark-antiquark sources, with separations up to one Fermi. The elements of the transfer matrix are calculated by variational Monte Carlo methods, in a basis of states obtained by acting on the vacuum state with zero-, one-, and two-gluon operators in Coulomb gauge. The color Coulomb potential is obtained from the zero-gluon to zero-gluon element of the transfer matrix, and it is well known that while this potential is asymptotically linear, it has a slope which is 2 to 3 times larger than the standard asymptotic string tension. We show that the addition of one- and two-gluon states results in a potential which is still linear, but the disagreement with the standard asymptotic string tension is reduced to 38% for the variational states used in this study, at the largest value of {beta}=4/g{sup 2}=2.4 considered.},
doi = {10.1103/PHYSREVD.79.114501},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 79,
place = {United States},
year = {2009},
month = {6}
}