471 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
Lattice study of area law for double-winding Wilson loops
We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on
the lattice. We discuss how the area law falloff of the double-winding Wilson
loop average is modified by changing the enclosing contours C1 and C2 for
various values of the number of color N. By using the strong coupling
expansion, we evaluate the double-winding Wilson loop average in the lattice
SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop
average by lattice Monte Carlo simulations for SU(2) and SU(3). We further
discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the
higher representations.Comment: 8 pages, 7 figures, presented at the 35th International Symposium on
Lattice Field Theory (Lattice 2017), 18-24 June 2017, Granada, Spai
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