17,256 research outputs found
Numerical evidence for monopoles in 3-dimensional Yang-Mills theory
Recently Anishetty, Majumdar and Sharatchandra have proposed a way of
characterizing topologically non-trivial configurations for 2+1 dimensional
Yang-Mills theory in a local and manifestly gauge invariant manner. In this
paper paper we develop criteria to locate such objects in lattice gauge theory
and find them in numerical simulations.Comment: 6 pages, 4 figures and 2 tables. Revtex. No changes in text. Problem
with printing of figure fixed. To be published in PL-
Polyhedral realization of Crystal bases for Generalized Kac-Moody Algebras
In this paper, we give polyhedral realization of the crystal of
for the generalized Kac-Moody algebras. As applications,
we give explicit descriptions of crystals for the generalized Kac-Moody
algebras of rank 2, 3 and {\it Monster Lie algebras}.Comment: 20 page
Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensions
We apply a new coordinate space method for the evaluation of lattice Feynman
diagrams suggested by L\"uscher and Weisz to field theories in two dimensions.
Our work is to be presented for the theories with massless propagators. The
main idea is to deal with the integrals in position space by making use of the
recursion relation for the free propagator which allows to compute the
propagator recursively by its values around origin. It turns out that the
method is very efficient and gives very precise results. We illustrate the
technique by evaluating a number of two- and three-loop diagrams explicitly.Comment: 25 pages, Latex, 2 figures, revised by discussing some points in more
detail and correcting a few typo
Topologically non-trivial configurations in 3-dimensional Yang-Mills theory
Recently Anishetty, Majumdar and Sharatchandra have proposed a way of
characterizing topologically non-trivial configurations for 2+1-dimensional
Yang-Mills theory in a local and manifestly gauge invariant manner. Here we
develop criteria to locate such objects in lattice gauge theory and find them
in numerical simulations.Comment: Poster presented at Lattice 2000 (Topology and Vacuum) 3 pages, 2
figure
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