30,011 research outputs found
From Perturbation Theory to Confinement: How the String Tension is built up
We study the spatial volume dependence of electric flux energies for SU(2)
Yang-Mills fields on the torus with twisted boundary conditions. The results
approach smoothly the rotational invariant Confinement regime. The would-be
string tension is very close to the infinite volume result already for volumes
of . We speculate on the consequences of our result for
the Confinement mechanism.Comment: 6p, ps-file (uuencoded). Contribution to Lattice'93 Conference
(Dallas, 1993). Preprint INLO-PUB 18/93, FTUAM-93/4
Do classical configurations produce Confinement?
We show that certain classical SU(2) pure gauge configurations give rise to a
non-zero string tension. We then investigate cooled configurations generated by
Monte Carlo simulations on the lattice and find similar properties. We infer
evidence in favour of a classical model of Confinement.Comment: Uuencoded, Z-compressed and tarred file of the TeX file submit.tex
and PostScript files Stnt.eps and Stst.eps. 11 pages of text and two figure
Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals
Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of
positive dyadic operators. We give an elementary self-contained proof of this
fact, which is simpler than the probabilistic arguments used for all previous
results in this direction. Our argument also applies to the q-variation of
certain Calderon-Zygmund operators, a stronger nonlinearity than the maximal
truncations. As an application, we obtain new sharp weighted inequalities.Comment: 10 page
Nahm dualities on the torus - a synthesis
We give a unified description of self-dual SU(2) gauge fields on tori of size
lt x ls^3 based on a mixture of analytical and numerical methods using the Nahm
transformation, extended to the case of twisted boundary conditions. We show
how torus calorons (lt/ls small) are Nahm dual to the torus instantons (lt/ls
large). Holonomies are dual to the locations of constituents, this duality
becoming exact in the limiting cases ls or lt --> infinity. Implications for
the moduli spaces are discussed.Comment: Latex, 22 pages, 8 figures in 11 postscript file
Instanton classical solutions of SU(3) fixed point actions on open lattices
We construct instanton-like classical solutions of the fixed point action of
a suitable renormalization group transformation for the SU(3) lattice gauge
theory. The problem of the non-existence of one-instantons on a lattice with
periodic boundary conditions is circumvented by working on open lattices. We
consider instanton solutions for values of the size (0.6-1.9 in lattice units)
which are relevant when studying the SU(3) topology on coarse lattices using
fixed point actions. We show how these instanton configurations on open
lattices can be taken into account when determining a few-couplings
parametrization of the fixed point action.Comment: 23 pages, LaTeX, 4 eps figures, epsfig.sty; some comments adde
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