arXiv subjects
Publications and source records attributed to K. Selivanov.
We describe spontaneous creation of the Brane World in $AdS_{5}$ 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.
We suggest a modification of the Randall-Sundrum scenario which doesn't involve branes with the negative tensions. In our scenario four-dimensional brane world is produced by the external field. The probability of this process is calculated and the physical features of the model are discussed.
The Hopf algebra of Feynman diagrams, analyzed by A.Connes and D.Kreimer, is considered from the perspective of the theory of effective actions and generalized $τ$-functions, which describes the action of diffeomorphism and shift groups in the moduli space of coupling constants. These considerations provide additional evidence of the hidden group (integrable) structure behind the standard formalism of quantum field theory.
We discuss the processes of brane bubble nucleation induced by the external branes. The quasiclassical solution for the nucleation by the single external brane has been found in the case when the brane junctions are possible. Exponential factor in the production rate has been calculated. The process induced by the fundamental or D string in the background of two D3 branes is analyzed and its interpretation from the D3 worldvolume theory viewpoint is described.
It is argued that there are states (quasiparticles) with masses ranging over the scales $ΛN_{c}^{1/3} ÷ΛN_{c}$ in N=1 supersymmetric multicolor gluodynamics. These states exist in the form of quantum bubbles made out of the BPS domain walls. Analogous states are likely to exist in non-supersymmetric case as well.
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.
A generating function for the Parke-Taylor amplitudes with any number of positive helicity gravitons in addition to the positive helicity gluons is obtained using the recently constructed self-dual classical solution of the type of perturbiner in Yang-Mills theory interacting with gravity.
The perturbiner approach to the multi-gluonic amplitudes in Yang-Mills theory is reviewed.
We present here an explicit self-dual classical solution of the type of perturbiner in gravity. This solution is a generating function for tree gravitational form-factors with all on-shell gravitons in the same helicity state.
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.