1,232 research outputs found
Monopole Constituents inside SU(n) Calorons
We present a simple result for the action density of the SU(n) charge one
periodic instantons - or calorons - with arbitrary non-trivial Polyakov loop
P_oo at spatial infinity. It is shown explicitly that there are n lumps inside
the caloron, each of which represents a BPS monopole, their masses being
related to the eigenvalues of P_oo. A suitable combination of the ADHM
construction and the Nahm transformation is used to obtain this result.Comment: 8 pages, 1 figure (in three parts), late
Instantons, Monopoles and Toric HyperKaehler Manifolds
In this paper, the metric on the moduli space of the k=1 SU(n) periodic
instanton -or caloron- with arbitrary gauge holonomy at spatial infinity is
explicitly constructed. The metric is toric hyperKaehler and of the form
conjectured by Lee and Yi. The torus coordinates describe the residual
U(1)^{n-1} gauge invariance and the temporal position of the caloron and can
also be viewed as the phases of n monopoles that constitute the caloron. The
(1,1,..,1) monopole is obtained as a limit of the caloron. The calculation is
performed on the space of Nahm data, which is justified by proving the
isometric property of the Nahm construction for the cases considered. An
alternative construction using the hyperKaehler quotient is also presented. The
effect of massless monopoles is briefly discussed.Comment: 30 pages, latex2
New Instanton Solutions at Finite Temperature
We discuss the newly found exact instanton solutions at finite temperature
with a non-trivial Polyakov loop at infinity. They can be described in terms of
monopole constituents and we discuss in this context an old result due to
Taubes how to make out of monopoles non-trivial topological charge
configurations, with possible applications to abelian projection.Comment: 6 pages, 2 figures (in 5 parts), latex using espcrc1.sty, presented
at "QCD at Finite Baryon Density", April 27-30, 1998, Bielefeld, German
Gluino Condensation in an Interacting Instanton Ensemble
We perform a semi-classical study of chiral symmetry breaking and of the
spectrum of the Dirac operator in QCD with adjoint fermions. For this purpose
we calculate matrix elements of the adjoint Dirac operator between instanton
zero modes and study their symmetry properties. We present simulations of the
instanton ensemble for different numbers of Majorana fermions in the adjoint
representation. These simulations provide evidence that instantons lead to
gluino condensation in supersymmetric gluodynamics.Comment: 32 pages, 5 figures, acknowledgment adde
Continuity, Deconfinement, and (Super) Yang-Mills Theory
We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl
fermion on R^3xS^1 as a function of the fermion mass m and the compactification
scale L. This theory reduces to thermal pure gauge theory as m->infinity and to
circle-compactified (non-thermal) supersymmetric gluodynamics in the limit
m->0. In the m-L plane, there is a line of center symmetry changing phase
transitions. In the limit m->infinity, this transition takes place at
L_c=1/T_c, where T_c is the critical temperature of the deconfinement
transition in pure Yang-Mills theory. We show that near m=0, the critical
compactification scale L_c can be computed using semi-classical methods and
that the transition is of second order. This suggests that the deconfining
phase transition in pure Yang-Mills theory is continuously connected to a
transition that can be studied at weak coupling. The center symmetry changing
phase transition arises from the competition of perturbative contributions and
monopole-instantons that destabilize the center, and topological molecules
(neutral bions) that stabilize the center. The contribution of molecules can be
computed using supersymmetry in the limit m=0, and via the
Bogomolnyi--Zinn-Justin (BZJ) prescription in the non-supersymmetric gauge
theory. Finally, we also give a detailed discussion of an issue that has not
received proper attention in the context of N=1 theories---the non-cancellation
of nonzero-mode determinants around supersymmetric BPS and KK
monopole-instanton backgrounds on R^3xS^1. We explain why the non-cancellation
is required for consistency with holomorphy and supersymmetry and perform an
explicit calculation of the one-loop determinant ratio.Comment: A discussion of the non-cancellation of the nonzero mode determinants
around supersymmetric monopole-instantons in N=1 SYM on R^3xS^1 is added,
including an explicit calculation. The non-cancellation is, in fact, required
by supersymmetry and holomorphy in order for the affine-Toda superpotential
to be reproduced. References have also been adde
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