3,263 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
Vortex configurations in the large N limit
We study the properties of vortex-like configurations which are solutions of
the SU(N) Yang-Mills classical equations of motion. We show that these
solutions are concentrated along a two-dimensional wall with size growing with
the number of colors.Comment: 13 pages, 4 postscript 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
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
Twisted reduction in large N QCD with adjoint Wilson fermions
The twisted space-time reduced model of large QCD with various flavours
of adjoint Wilson fermions is constructed applying the symmetric twist boundary
conditions with flux . The models with one and two flavours show distinctive
behaviours. For the two flavor case, the string tension, calculated at ,
approaches zero as we decrease the quark mass in a way consistent with the
theory being governed by an infrared fixed point. In contrast, the string
tension for the case of a single adjoint Wilson fermion remains finite as the
quark mass decreases to zero, supporting that this is a confining theory.Comment: 7 pages, 8 figures, presented at the 31st International Symposium on
Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, German
The string tension from smeared Wilson loops at large N
We present the results of a high statistics analysis of smeared Wilson loops
in 4 dimensional SU(N) Yang-Mills theory for various values of N. The data is
used to analyze the behaviour of smeared Creutz ratios, extracting from them
the value of the string tension and other asymptotic parameters. A scaling
analysis allows us to extrapolate to the continuum limit for N=3,5,6 and 8. The
results are consistent with a approach towards the large N limit. The
same analysis is done for the TEK model (one-point lattice) for N=841 and a
non-minimal symmetric twist with flux of . The results match perfectly
with the extrapolated large N values, confirming the validity of the reduction
idea for this range of parameters.Comment: Enlarged revised version with 2 tables and 3 figure
The string tension for Large N gauge theory from smeared Wilson loops
Using smeared Creutz ratios we extract the string tension for SU(N) pure
gauge theory and =3,4,5,6,8. We employ these results to extrapolate to large
N. The same methodology is applied to the single-site Twisted Eguchi Kawai
model. The corresponding string tension matches perfectly within errors with
the extrapolated one, providing strong evidence in favour of the twisted
reduction framework. Interesting results are also obtained on the behaviour of
Creutz ratios for large sizes.Comment: 7 pages and 3 figures. Contribution to Lattice 2012 in Cairn
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