Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 3060-3065 |
| Number of pages | 6 |
| Journal | Physical Review D |
| Volume | 40 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1989 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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Color-dielectric models from a lattice point of view. / Lee, Su H.; Cohen, Thomas D.; Banerjee, Manoj K.
In: Physical Review D, Vol. 40, No. 9, 01.01.1989, p. 3060-3065.Research output: Contribution to journal › Article
TY - JOUR
T1 - Color-dielectric models from a lattice point of view
AU - Lee, Su H.
AU - Cohen, Thomas D.
AU - Banerjee, Manoj K.
PY - 1989/1/1
Y1 - 1989/1/1
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, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 9
ER -