10 papers
A Note on UV/IR for Noncommutative Complex Scalar Field
I. Ya. Aref'eva, D. M. Belov, A. S. Koshelev
Noncommutative quantum field theory of a complex scalar field is considered. There is a two-coupling noncommutative analogue of U(1)-invariant quartic interaction , namel…
The Large Time Behaviour in Quantum Field Theory and Quantum Chaos
I. Ya. Aref'eva, I. V. Volovich
An exact general formula for the matrix elements of the evolution operator in quantum theory is established. The formul ("ABC-formula") has the form <U(t)>=exp(At+B+C(t)). The cons…
Quantum Decoherence and Higher Order Corrections to the Large Time Exponential Behaviour
I. Ya. Aref'eva, I. V. Volovich
There exists the well known approximate expression describing the large time behaviour of matrix elements of the evolution operator in quantum theory: <U(t)>=exp(at)+... This expre…
On the Holographic S-matrix
I. Ya. Aref'eva
The recent proposal by Polchinski and Susskind for the holographic flat space S-matrix is discussed. By using Feynman diagrams we argue that in principle all the information about…
Matrix Theory in Curved Space
I. Ya. Aref'eva, I. V. Volovich
According to the Matrix theory proposal of Banks, Fischler, Shenker and Susskind M-theory in the infinite momentum frame is the large N limit of super Yang-Mills theory in a flat b…
On Large N Conformal Theories, Field Theories in Anti-De Sitter Space and Singletons
I. Ya. Aref'eva, I. V. Volovich
It was proposed by Maldacena that the large limit of certain conformal field theories can be described in terms of supergravity on anti-De Sitter spaces (AdS). Recently, Gubser…