Physics of Particles and Nuclei Letters最新文献

A model of the supersymmetric oscillator is considered which is based on a nonlinear differential-delay equation proposed by the author in 1992. This equation provides a realization of the Heisenberg–Weyl algebra by the mixed differential-difference operators and leads to a deformation of the Chebyshev–Hermite orthogonal polynomials. We discuss general solution of this equation in a series form and describe its particular explicit solution associated with the one-gap Lamé equation.

New one parameter family of exact solutions in general relativity with a scalar field has been found and analysed. It is assumed that space-time metric has the Liouville form, that is conformally flat, where conformal factor is the sum of four functions on single coordinates. The scalar field has exponential potential. Analysis of geodesics shows, that solutions are global. Depending on the value of the parameter, the respective metric describes, in particular, the evolution of the space-time with the naked singularity. The solution corresponding to the naked singularity provides smooth extension of the Friedmann universe with accelerated expansion through the zero of the scale factor back in time along geodesics.

A possibility to reduce the problem of building an integrable supersymmetric extension of a given integrable model with (n) degrees of freedom to finding (n) vectors, all scalar products of which link to (n) first integrals of the original bosonic system, is discussed on the example of the rational Ruijsenaars–Schneider model.

The group of finite renormalizations relating various renormalization prescriptions is considered as an infinite dimensional Lie group. The corresponding Lie algebra is constructed, and the Abelian subgroup corresponding to the changing of the renormalization point is studied. It is demonstrated that it can be used for obtaining all-order exact expressions for the renormalization constants relating them to the renormalization group functions.

We have shown that the vector and tensor analyzing powers ({{A}_{y}}), ({{A}_{{yy}}}) and also double spin correlation coefficients ({{C}_{{y,y}}}), ({{C}_{{yy,y}}}) of the reaction (dd to n + p + d) in the impulse approximation are linearly connected to the corresponding observables of the (pd)-elastic scattering. The obtained relations are necessary for motivation of the polarization experiments for the first phase of the SPD NICA project and for analysis of expected data.

The hypothesis is discussed that the standard model formed as a result of the electroweak transition is valid at a higher temperature of the Universe, but with a contracted gauge group. The modified model predicts a temperature threshold of (T sim {{10}^{7}}) GeV, above which only half of the particles (neutrinos, Higgs boson, (u) quark, and its color (R) component), interacting by exchanging photons, neutral (Z) bosons, and (R) gluons, exert a predominant influence on the state of the space environment. The model does not disagree with the LHC data on Higgs boson creation cross sections at energies of 7, 8, 13, and 14 TeV.

We define a comultiplication and consider the action of the Weyl groupoid on affine super Yangians ({{Y}_{hbar }}(hat {s}l(left. m right|n,Pi ))) of a special linear Kac–Moody superalgebra (hat {s}l(left. m right|n,Pi )) depending on an arbitrary system of simple roots П. Affine super Yangians of this kind form a category. Morphisms in this category are specified by the action of elements of the Weyl groupoid. All super Yangians from this category are isomorphic as Hopf superalgebras, but morphisms defined by the action of elements of the Weyl groupoid transform one comultiplication structure into another, generally speaking, different from the initial one. We describe the action of the Yangian Weyl groupoid and the coproduct on super Yangians.

In this project, we will study a bottom–up holographic model for the color superconductivity (CSC) phase in the Einstein–Gauss–Bonnet (EGB) gravity. We consider the color superconductivity in the deconfinement phase which is dual to the planar GB–RN–AdS black hole in six-dimensional spacetime and we find the equation of state of the CSC phase in the inner core of the heavy compact star.

We propose a simple model of two-dimensional (mathcal{N} = 2) superconformal mechanics with a spin-orbit interaction term and demonstrate that it inherits the Galilean symmetry of the initial free-particle system. We then propose a quaternionic counterpart of this system, which describes the four-dimensional (mathcal{N} = 4) superconformal mechanics (D(1,2{kern 1pt} |{kern 1pt} alpha )). The bosonic part of the Hamiltonian describes a free particle on the cone, while the fermionic part necessarily includes the spin–orbit interaction term.

We study the connection between ({text{SU}}(n)) spin chains and one-dimensional sigma models on flag manifolds. Using this connection, we calculate the spectrum of the Laplace–Beltrami operator and geodesics for a particular class of metrics on (mathbb{C}{{mathbb{P}}^{1}}) and ({{mathcal{F}}_{3}}), which is a manifold of complete flags in ({{mathbb{C}}^{3}}).