234 citations · 2.8k across the 126 of their papers we have counts for
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Two-Loop Diagrams in Noncommutative theory
I. Ya. Aref'eva, D. M. Belov, A. S. Koshelev
Explicit two-loop calculations in noncommutative theory are presented. It is shown that the model is two-loop renormalizable.
On Stable Sector in Supermembrane Matrix Model
I. Ya. Aref'eva, A. S. Koshelev, P. B. Medvedev
We study the spectrum of SU(2) x SO(2) matrix supersymmetric quantum mechanics. We use angular coordinates that allow us to find an explicit solution of the Gauss law constraints a…
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…
Noncommutative Gauge Fields on Poisson Manifolds
I. Ya. Aref'eva, I. V. Volovich
It is shown by Connes, Douglas and Schwarz that gauge theory on noncommutative torus describes compactifications of M-theory to tori with constant background three-form field. This…
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…
Non-Equilibrium Quantum Field Theory and Entangled Commutation Relations
L. Accardi, I. Ya. Aref'eva, I. V. Volovich
Non-equilibrium quantum field theory studies time dependence of processes which are not available for the S-matrix description. One of the new methods of investigation in non-equil…
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…