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Ivanov I.P.,University of Liege | Ivanov I.P.,RAS Sobolev Institute of Mathematics
Physical Review D - Particles, Fields, Gravitation and Cosmology | Year: 2011

Photons carrying nonzero orbital angular momentum (twisted photons) are well-known in optics. Recently, using Compton backscattering to boost optical twisted photons to high energies was suggested. Twisted electrons in the intermediate energy range have also been produced recently. Thus, collisions involving energetic twisted particles seem to be feasible and represent a new tool in high-energy physics. Here we discuss some generic features of scattering processes involving twisted particles in the initial and/or final state. In order to avoid additional complications arising from nontrivial polarization states, we focus here on scalar fields only. We show that processes involving twisted particles allow one to perform a Fourier analysis of the plane-wave cross section with respect to the azimuthal angles of the initial particles. In addition, using twisted states, one can probe the autocorrelation function of the amplitude, which is inaccessible in the plane-wave collisions. Finally, we discuss prospects for experimental study of these effects. © 2011 American Physical Society.

Buchbinder I.L.,Tomsk State Pedagogical University | Pletnev N.G.,RAS Sobolev Institute of Mathematics
Nuclear Physics B | Year: 2015

We consider the six-dimensional hypermultiplet, vector and tensor multiplet models in (1, 0) harmonic superspace and discuss the corresponding superfield actions. The actions for free (2, 0) tensor multiplet and for interacting vector/tensor multiplet system are constructed. Using the superfield formulation of the hypermultiplet coupled to the vector/tensor system we develop an approach to calculation of the one-loop superfield effective action and find its divergent structure. © 2015 The Authors.

Ginzburg I.F.,RAS Sobolev Institute of Mathematics
Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment | Year: 2015

After a collision at the main interaction point the beam of an e+ e- Linear Collider can be utilized to construct a neutrino factory with exceptional parameters. We also briefly discuss possible applications of some elements of the proposed scheme to standard fixed target experiments and new experiments with νμN interactions. © 2014 Elsevier B.V. All rights reserved.

Buchbinder I.L.,Tomsk State Pedagogical University | Pletnev N.G.,RAS Sobolev Institute of Mathematics
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2015

We consider a six-dimensional (1, 0) hypermultiplet model coupled to an external field of vector/tensor system and study the structure of the low-energy effective action of this model. Manifestly a (1, 0) supersymmetric procedure of computing the effective action is developed in the framework of the superfield proper-time technique. The leading low-energy contribution to the effective action is calculated. © 2015 The Authors.

Krotov D.S.,RAS Sobolev Institute of Mathematics
Designs, Codes, and Cryptography | Year: 2011

A vertex coloring of a graph is called "perfect" if for any two colors a and b, the number of the color-b neighbors of a color-a vertex x does not depend on the choice of x, that is, depends only on a and b (the corresponding partition of the vertex set is known as "equitable"). A set of vertices is called "completely regular" if the coloring according to the distance from this set is perfect. By the "weight distribution" of some coloring with respect to some set we mean the information about the number of vertices of every color at every distance from the set. We study the weight distribution of a perfect coloring (equitable partition) of a graph with respect to a completely regular set (in particular, with respect to a vertex if the graph is distance-regular). We show how to compute this distribution by the knowledge of the color composition over the set. For some partial cases of completely regular sets, we derive explicit formulas of weight distributions. Since any (other) completely regular set itself generates a perfect coloring, this gives universal formulas for calculating the weight distribution of any completely regular set from its parameters. In the case of Hamming graphs, we prove a very simple formula for the weight enumerator of an arbitrary perfect coloring. © 2010 Springer Science+Business Media, LLC.

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