Leinweber, Derek B., Skullerud, Jon-Ivar and Williams, Anthony G. (1998) Asymptotic Scaling and Infrared Behavior of the Gluon Propagator. Physical Review D, 60 (9). ISSN 0556-2821
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Abstract
The Landau gauge gluon propagator for the pure gauge theory is evaluated
on a 32
3
× 64 lattice with a physical volume of (3
.35
3
×
6
.7) fm
4
. Comparison
with two smaller lattices at different lattice spacings allows an assessment of
finite volume and finite lattice spacing errors. Cuts on the data are imposed
to minimize these errors. Scaling of the gluon propagator is verified between β = 6.0 and β = 6.2. The tensor structure is evaluated and found to be in
good agreement with the Landau gauge form, except at very small momentum
values, where some small finite volume errors persist. A number of functional
forms for the momentum dependence of the propagator are investigated. The
form
D
(
q
2
) =
DIR
+
DUV, where
DIR
(
q
2
)
∝
(
q
2
+
M
2
)
−
η and
DUV is an
infrared regulated one-loop asymptotic form, is found to provide an adequate
description of the data over the entire momentum region studied — thereby
bridging the gap between the infrared confinement region and the ultraviolet
asymptotic region. The best estimate for the exponent
η is 3
.
2
+0
.
1
−
0
.
2
+0
.
2
−
0
.
3, where
the first set of errors represents the uncertainty associated with varying the
fitting range, while the second set of errors reflects the variation arising from
different choices of infrared regulator in
DUV. Fixing the form of
DUV, we find
that the mass parameter
M is (1020
± 100) MeV.
Item Type: | Article |
---|---|
Keywords: | Asymptotic Scaling; Infrared Behavior; Gluon Propagator; |
Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Theoretical Physics |
Item ID: | 15699 |
Identification Number: | 10.1103/PhysRevD.60.094507 |
Depositing User: | Dr. Jonivar Skullerud |
Date Deposited: | 21 Mar 2022 16:06 |
Journal or Publication Title: | Physical Review D |
Publisher: | American Physical Society |
Refereed: | Yes |
Related URLs: | |
URI: | https://mu.eprints-hosting.org/id/eprint/15699 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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