281 research outputs found
On tree form-factors in (supersymmetric) Yang-Mills theory
{\it Perturbiner}, that is, the solution of field equations which is a
generating function for tree form-factors in N=3 supersymmetric
Yang-Mills theory, is studied in the framework of twistor formulation of the
N=3 superfield equations. In the case, when all one-particle asymptotic states
belong to the same type of N=3 supermultiplets (without any restriction on
kinematics), the solution is described very explicitly. It happens to be a
natural supersymmetrization of the self-dual perturbiner in non-supersymmetric
Yang-Mills theory, designed to describe the Parke-Taylor amplitudes. In the
general case, we reduce the problem to a neatly formulated algebraic geometry
problem (see Eqs(\ref{5.15i}),(\ref{5.15ii}),(\ref{5.15iii})) and propose an
iterative algorithm for solving it, however we have not been able to find a
closed-form solution. Solution of this problem would, of course, produce a
description of all tree form-factors in non-supersymmetric Yang-Mills theory as
well. In this context, the N=3 superfield formalism may be considered as a
convenient way to describe a solution of the non-supersymmetric Yang-Mills
theory, very much in the spirit of works by E.Witten \cite{Witten} and by
J.Isenberg, P.B.Yasskin and P.S.Green \cite{2}.Comment: 17 pages, Latex, the form of citation in the abstract have been
corrected by xxx.lanl.gov reques
Geometry and Physics on Orbits
We apply the coadjoint orbit technique to the group of area preserving
diffeomorphisms (APD) of a 2D manifold, particularly to the APD of the
semi-infinite cylinder which is identified with . The geometrical
action obtained is relevant to both gravity and 2D turbulence. For the
latter we describe the hamiltonian, which appears to be given by the Schwinger
mass term, and discuss some possible developments within our approach. Next we
show that the set of highest weight orbits of splits into subsets,
each of which consists of highest weight orbits of for a given N.
We specify the general APD geometric action to an orbit of and
describe an appropriate set of observables, thus getting an action and
observables for gravity. We compute also the Ricci form on the
orbits, what gives us the critical central charge of the
string, which appears to be the same as the one of the
string.Comment: 19 pages, LATEX, with notation changed to , with 3
more references and with note added in proo
On form-factors in Sin(h)-Gordon theory
We present here an explicit classical solution of the type of perturbiner in
Sin(h)-Gordon model. This solution is a generating function for form-factors in
the tree approximation.Comment: 10 pages, late
Big Bang in with external field and flat 4d Universe
We describe spontaneous creation of the Brane World in with
external field. The resulting Brane World consists of a flat 4d spatially
finite expanding Universe and curved expanding "regulator" branes. No negative
tension branes are involved.Comment: Latex, 11 pages, 5 eps figures, references adde
SD Perturbiner in YM+Gravity
An explicit self-dual classical solution of the type of perturbiner in
Yang-Mills theory interacting with gravity is obtained. This allows one to
describe the tree self-dual gluonic form-factors including any number of
positive-helicity gravitons in addition to the positive helicity gluons.Comment: 8 pages, Late
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