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A. Sissakian

Publications and source records attributed to A. Sissakian.

25 records · Page 2Linked to original sources
arXiv2000

Generating functionals method of N.N.Bogolyubov and multiple production physics

The generating functionals (GF) method in Bogolyubov's formulation and its application for particle physics is considered. Effectiveness of the method is illustrated by two examples. So, GF method can be used as the technical trick solving the infinite sequence of algebraic equations. We will consider the example, where GF allows express the multiplicity distributions (topological cross sections) through the particles correlation functions (inclusive cross sections) to `predict' so called the Koba-Nielsen-Olesen scaling. We will use the GF to define validity of the thermal description of the multiple production phenomena also. It will be seen that this will lead to the `correlations relaxation condition' of N.N.Bogolyubov. This will allow to offer the experimentally measurable criteria of applicability of thermodynamical description of multiple production processes. In results we will find the closed form of perturbation theory applicable for kinetic phase of nonequilibrium processes. It is shown a way as the approach may be adapted to the definite external conditions.

hep-ph↗
arXiv2000

Phase transitions signal in inelastic hadron collisions

The consequence of vacuum instability against particles creation is described using lattice gas model. It is shown that the tail of multiplicity distribution should decrees slower than any power of $\exp\{-n\}$, but faster than any power of $1/n$ if the vacuum is unstable against particles creation.

hep-ph↗
arXiv2000

Quantisation of Extended Objects

The `strong-coupling' perturbation theory over the inverse interaction constant $1/g$ near the nontrivial solution of Lagrange equation is formulated. The ordinary `week-coupling' perturbation theory over $g$ is described also to compare both perturbation theories. The `strong-coupling' perturbation theory is developed by unitary mapping of the quantum dynamics into the space with local coordinates of (action, angle)-type.

hep-th↗
arXiv1999

Some notes about multiplicity distribution at hadron colliders

The idea that the hard processes are dominate at the very high multiplicity (VHM) final states creation is considered. For this purpose quantitative realization of the Pomeron, DIS and large-angle annihilation (LAA) mechanism combinations are considered in the pQCD frame. The phase transition (condensation) in the soft pions system is described as the alternative to above mechanism. It is shown that in compared to QCD prediction last one predicts enhancement in the VHM distribution tail.

hep-ph↗
arXiv1998

High-Multiplicity Processes (Theoretical status)

We wish to demonstrate that investigation of asymptotically high multiplicity (AHM) hadron reactions may solve, or at least clear up, a number of problems unsolvable by other ways. We would lean upon the idea: (i) the entropy is proportional to multiplicity and, by this reason, at the AHM domain one may expect the equilibrium final state and (ii) the high-multiplicity processes becomes hard. Last one means that the nonperturbative corrections are frozen during this processes and the QCD predictions are available for them.

hep-ph↗
arXiv1998

Fields topology and observables

The paper contains successive description of the strong-coupling perturbation theory. Formal realization of the idea is based on observation that the path-integrals measure for absorption part of amplitudes $\R$ is Diracian ($\d$-like). New form of the perturbation theory achieved mapping the quantum dynamics in the space $W_G$ of (action, angle) type collective variables. It is shown that the transformed perturbation theory contributions are accumulated on the boundary $\pa W_G$, i.e. are sensible to the $topology$ of factor space $W_G$ and,therefore, to the theory symmetry group $G$. The abilities of our perturbation theory are illustrated by examples from quantum mechanics and field theory. Considering the Coulomb potential $1/|x|$ the total reduction of quantum degrees of freedom is demonstrated mapping the dynamics in the (angle, angular momentum, Runge-Lentz vector) space. To solve the (1+1)-dimensional sin-Gordon model the theory is considered in the space (coordinates, momenta) of solitons. It is shown the total reduction of quantum degrees of freedom and, in result, there is not multiple production of particles. This result we interpret as the $S$-matrix form of confinement. The scalar $O(4,2)$-invariant field theoretical model is quantized in the $W_O=O(4,2)/O(4) {\times} O(2)$ factor manifold. It is shown that the corresponding $\R$ is nontrivial because of the scale invariance breaking.

hep-th↗