TY - JOUR
T1 - Color-dielectric models from a lattice point of view
AU - Lee, Su H.
AU - Cohen, Thomas D.
AU - Banerjee, Manoj K.
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1989
Y1 - 1989
N2 - We study the color-dielectric model, introduced by Nielsen and Patks, using lattice gauge theory. We argue that the collective color-dielectric field, which is introduced by a block-spinning method, approaches zero in the vacuum for confining theories for a sufficiently large averaging size of the block-spinning box, as a consequence of the area-law behavior of Wilson loops. Increasing the box size increases the effective potential height for quarks, but decreases the resolving power of the effective theory. Estimates show that there exists an optimal choice of the size of the box suitable for a mean-field description of hadrons within the color-dielectric models with confinement. This yields a limit for the maximum momentum scales for which these models are applicable. This limit poses no difficulties for construction of phenomenological models.
AB - We study the color-dielectric model, introduced by Nielsen and Patks, using lattice gauge theory. We argue that the collective color-dielectric field, which is introduced by a block-spinning method, approaches zero in the vacuum for confining theories for a sufficiently large averaging size of the block-spinning box, as a consequence of the area-law behavior of Wilson loops. Increasing the box size increases the effective potential height for quarks, but decreases the resolving power of the effective theory. Estimates show that there exists an optimal choice of the size of the box suitable for a mean-field description of hadrons within the color-dielectric models with confinement. This yields a limit for the maximum momentum scales for which these models are applicable. This limit poses no difficulties for construction of phenomenological models.
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U2 - 10.1103/PhysRevD.40.3060
DO - 10.1103/PhysRevD.40.3060
M3 - Article
AN - SCOPUS:25044458382
VL - 40
SP - 3060
EP - 3065
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 9
ER -