59 research outputs found
Matrix at strong coupling
We describe the strong coupling limit (g->infty) for the
Yang--Mills type matrix models. In this limit the dynamics of the model is
reduced to one of the diagonal components which is characterized by a linearly
confining potential. We also shortly discuss the case of the pure Yang--Mills
model in more than one dimension.Comment: 15 pages, text improved, misprints corrected, a comment and new
references adde
M[any] Vacua of IIB
Description of the spectrum of fluctuations around a commutative vacuum
solution, as well as around a solution with degenerate commutator in IIB matrix
model is given in terms of supersymmetric Yang-Mills (YM) model. We construct
explicitly the map from Hermitian matrices to YM fields and study the
dependence of the spectrum and respective YM model on the symmetries of the
solution. The gauge algebra of the YM model is shown to contain local
reparameterisation algebra as well as Virasoro one.Comment: 17 pages, Virasoro algebra explicitely given, LaTeX style change,
minor text change
On the dynamics of BMN operators of finite size and the model of string bits
We consider the discretization effects of a string-bit model simulating the
near-BMN operators in the super--Yang--Mills model. The fermionic sector of
this model is altered by the so called species doubling. We analyze the
possibilities to cure this disease and propose an alternative formulation of
the fermionic sector free from the above drawbacks. Also we propose a
formulation of string bits with exact supersymmetry, which produces however an
even number of continuous strings in the limit .Comment: 10 pages, Contribution to BW2003 Workshop, 29 August - 02 September,
2003 Vrnjacka Banja, Serbi
Noncommutative Tachyonic Solitons. Interaction with Gauge Field
We show that in the presence of U(1) noncommutative gauge interaction the
noncommutative tachyonic system exhibits solitonic solutions for finite value
of the noncommutativity parameter.Comment: 9 pages, no figures, latex changes,some comments adde
On dilatation operator for a renormalizable theory
Given a renormalizable theory we construct the dilatation operator, in the
sense of generator of RG flow of composite operators. The generator is found as
a differential operator acting on the space of normal symbols of composite
operators in the theory. In the spirit of AdS/CFT correspondence, this operator
is interpreted as the Hamiltonian of the dual theory. In the case of a field
theory with non-abelian gauge symmetry the resulting system is a matrix model.
The one-loop case is analyzed in details and it is shown that we reproduce
known results from N=4 supersymmetric Yang-Mills theory.Comment: 26 pages, no figure
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