475 research outputs found
Double-winding Wilson loop in Yang-Mills theory: A criterion for testing the confinement models
We examine how the average of double-winding Wilson loops depends on the
number of color in the Yang-Mills theory. In the case where the two
loops and are identical, we derive the exact operator relation
which relates the double-winding Wilson loop operator in the fundamental
representation to that in the higher dimensional representations depending on
. By taking the average of the relation, we find that the
difference-of-areas law for the area law falloff recently claimed for is
excluded for , provided that the string tension obeys the Casimir
scaling for the higher representations. In the case where the two loops are
distinct, we argue that the area law follows a novel law
with and being the minimal areas spanned respectively by
the loops and , which is neither sum-of-areas () nor
difference-of-areas () law when (). Indeed, this behavior
can be confirmed in the two-dimensional Yang-Mills theory exactly.Comment: 6 pages, 2 figures, presented at the 35th International Symposium on
Lattice Field Theory (Lattice 2017), 18-24 June 2017, Granada, Spai
Schwinger-Dyson Study for Walking/Conformal Dynamics with IR Cutoffs
Motivated by recent progress on many flavor QCD on a lattice, we investigate
conformal/walking dynamics by using Schwinger-Dyson (SD) equation within an
improved ladder approximation for two-loop running coupling. By numerically
solving the SD equation, we obtain a pole mass , pion decay constant
, and investigate the chiral symmetry breaking and mass anomalous
dimension in the presence of IR cutoffs .
We find that the chiral symmetry breaking is suppressed \ if IR cutoff
becomes larger than the critical \ value near the
dynamical mass ( ) In the conformal phase
the is strongly suppressed by IR cutoffs for . We, then, obtain finite size hyperscaling (FSS)
relation by adapting a linearized approximation for the SD equation, and
examine the The results offer valuable insight and suggestion for
analyses in lattice gauge theories.Comment: 5 pages,2 figures; Presented at Sakata Memorial KMI Workshop on
"Origin of Mass and Strong Coupling Gauge Theories" (SCGT15
The relationship between a topological Yang-Mills field and a magnetic monopole
We show that a Jackiw-Nohl-Rebbi solution, as the most general two-instanton,
generates a circular loop of magnetic monopole in four-dimensional Euclidean
SU(2) Yang-Mills theory.Comment: 3 pages, 2 figure; to be published in the proceedings of
"BARYONS'10", Dec. 7-11, 2010, Osaka, Japa
Quark confinement due to non-Abelian magnetic monopoles in SU(3) Yang-Mills theory
We present recent results on quark confinement: in SU(3) Yang-Mills theory,
confinement of fundamental quarks is obtained due to the dual Meissner effect
originated from non-Abelian magnetic monopoles defined in a gauge-invariant
way, which is distinct from the well-known Abelian projection scenario. This is
achieved by using a non-Abelian Stokes theorem for the Wilson loop operator and
a new reformulation of the Yang-Mills theory.Comment: 5 pages, 3 eps figures. Talk presented at QCD@Work 2012:
International Workshop on QCD - Theory and Experiment, June 18-21, Lecce,
Ital
- …