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Title: Propagation of quarks in the spatial direction in hot QCD

Abstract

The dynamics of light fermions propagating in a spatial direction at high temperatures can be described effectively by a two-dimensional Schrödinger equation with a heavy effective mass m eff = π T. Starting from QED, we discuss the transition from three- to two-dimensional positronium discussing the latter in detail including relativistic effects. In the case of QCD the problem is similar to that of heavy quarkonium. Our effective potential contains the usual Coulomb and confining parts as well as a perturbative spin-spin interaction. The resulting $$ \bar{q}q $$ "wave functions" reproduce recent lattice data for the ρ and π channels. The physical meaning of such "confinement" is related to the nontrivial magnetic interaction of color currents in the quark-gluon plasma. Our results do not contradict the idea that the normal electric interaction of color charges is screened and produces no bound states in the usual sense.

Authors:
 [1];  [1];  [1];  [1]
  1. State Univ. of New York (SUNY), Stony Brook, NY (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1530198
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 46; Journal Issue: 7; Journal ID: ISSN 0556-2821
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Koch, V., Shuryak, E. V., Brown, G. E., and Jackson, A. D. Propagation of quarks in the spatial direction in hot QCD. United States: N. p., 1992. Web. doi:10.1103/physrevd.46.3169.
Koch, V., Shuryak, E. V., Brown, G. E., & Jackson, A. D. Propagation of quarks in the spatial direction in hot QCD. United States. doi:10.1103/physrevd.46.3169.
Koch, V., Shuryak, E. V., Brown, G. E., and Jackson, A. D. Thu . "Propagation of quarks in the spatial direction in hot QCD". United States. doi:10.1103/physrevd.46.3169. https://www.osti.gov/servlets/purl/1530198.
@article{osti_1530198,
title = {Propagation of quarks in the spatial direction in hot QCD},
author = {Koch, V. and Shuryak, E. V. and Brown, G. E. and Jackson, A. D.},
abstractNote = {The dynamics of light fermions propagating in a spatial direction at high temperatures can be described effectively by a two-dimensional Schrödinger equation with a heavy effective mass meff = πT. Starting from QED, we discuss the transition from three- to two-dimensional positronium discussing the latter in detail including relativistic effects. In the case of QCD the problem is similar to that of heavy quarkonium. Our effective potential contains the usual Coulomb and confining parts as well as a perturbative spin-spin interaction. The resulting $ \bar{q}q $ "wave functions" reproduce recent lattice data for the ρ and π channels. The physical meaning of such "confinement" is related to the nontrivial magnetic interaction of color currents in the quark-gluon plasma. Our results do not contradict the idea that the normal electric interaction of color charges is screened and produces no bound states in the usual sense.},
doi = {10.1103/physrevd.46.3169},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 46,
place = {United States},
year = {1992},
month = {10}
}

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