1,030 research outputs found
Gauge invariant investigation of the nature of Confinement
We observe a strong correlation between the decrease in the number of action
density peaks in SU(2) Yang-Mills configurations with cooling and that of the
string tension. The nature and distribution of these peaks is investigated. The
relationship with monopole currents after the abelian projection is also
considered.Comment: uuencoded and Z-compressed file of the Postcript version of our
contribution to LATTICE 95. 4 pages of text and 4 figure
Self-dual vortex-like configurations in SU(2) Yang-Mills Theory
We show that there are solutions of the SU(2) Yang-Mills classical equations
of motion in R^4, which are self-dual and vortex-like(fluxons). The action
density is concentrated along a thick two-dimensional wall (the world sheet of
a straight infinite vortex line). The configurations are constructed from
self-dual R^2 x T^2 configurations.Comment: latex2e file. 10 pages 2 figure
Large N reduction on a twisted torus
We consider SU(N) lattice gauge theory at infinite N defined on a torus with
a CP invariant twist. Massless fermions are incorporated in an elegant way,
while keeping them quenched. We present some numerical results which suggest
that twisting can make numerical simulations of planar QCD more efficient.Comment: 14 pages, 2 figures, 1 tabl
Combinatorics of lattice paths with and without spikes
We derive a series of results on random walks on a d-dimensional hypercubic
lattice (lattice paths). We introduce the notions of terse and simple paths
corresponding to the path having no backtracking parts (spikes). These paths
label equivalence classes which allow a rearrangement of the sum over paths.
The basic combinatorial quantities of this construction are given. These
formulas are useful when performing strong coupling (hopping parameter)
expansions of lattice models. Some applications are described.Comment: Latex. 25 page
Peeping into the SU(2) Gauge Vacuum
We study thermalised configurations of SU(2) gauge fields by cooling. An
analysis of the effect of cooling is presented and global and statistical
information is extracted.Comment: 3 pages, uuencoded compressed postscript file, contribution to LAT 9
Adjoint modes as probes of gauge field structure
We show how zero-modes and quasi-zero-modes of the Dirac operator in the
adjoint representation can be used to construct an estimate of the action
density distribution of a pure gauge field theory, which is less sensitive to
the ultraviolet fluctuations of the field. This can be used to trace the
topological structures present in the vacuum. The construction relies on the
special properties satisfied by the supersymmetric zero-modes.Comment: Latex file. 29 pages and 12 figure
Gauge invariant structures and Confinement
By looking at cooled configurations on the lattice, we study the presence of
peaks in the action density, or its electric and magnetic components, in the
SU(2) gauge vacuum. The peaks are seen to be of instanton-like nature and their
number variation takes care of the drop in the string tension observed when
cooling. Possible explanations of this finding are analysed.Comment: uuencoded and compressed file of the Postcript file newpaper.ps,
fig1.ps,fig2.eps,fig3.ps and fig4.ps. 13 pages of text and 4 figures Style
modifications and misprints correcte
On Nahm's transformation with twisted boundary conditions
Following two different tracks, we arrive at a definition of Nahm's
transformation valid for self-dual fields on the 4-dimensional torus with
non-zero twist tensor.The transform is again a self-dual gauge field defined on
a new torus and with non-zero twist tensor. It preserves the property of being
an involution.Comment: 18 page
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