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Alexander Polyakov
My main interests this year were directed towards string theory
of quark confinement. The problem is to find the string
Lagrangian for the Faraday's `lines of
force',which would reproduce perturbative corrections from the
Yang-Mills theory to the Coulomb law at small distances and would
give permanent confinement of
quarks at large distances.
My side interests have been in the theory of turbulence and
string cosmology. In the field of turbulence I have been looking
for a simple model to check conformal
theory of this phenomenon, which I developed 2 years ago. The
model in question appears to be the Burgers turbulence (which now
is in the center of interest of
much of hydrodynamics community). I found for the certain type of
stirring forces, an exact solution of this theory... This result
is now being tested both theoretically
and numerically. In cosmology I continued to work with T. Damour
on the dilaton violation of the equivalence principle. We have
found that S or T- dualities of
string theory lead to the features, needed for consistency of our
conjectures in the previous work.
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S e l e c t e d P u b l i c a t i o n s:
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- "Gauge fields and Strings," Harwood Academic Publishers 1987,
Nucl. Phys. B396, 367 (1993).
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