arXiv subjects

I. Andrić

Publications and source records attributed to I. Andrić.

5 recordsLinked to original sources

arXiv2004

Matrix-model dualities in the collective field formulation

We establish a strong-weak coupling duality between two types of free matrix models. In the large-N limit, the real-symmetric matrix model is dual to the quaternionic-real matrix model. Using the large-N conformal invariant collective field formulation, the duality is displayed in terms of the generators of the conformal group. The conformally invariant master Hamiltonian is constructed and we conjecture that the master Hamiltonian corresponds to the hermitian matrix model.

hep-th↗

arXiv1996

Calogero-Sutherland model from excitations of Chern-Simons vortices

We consider a large-N Chern-Simons theory for the attractive bosonic matter (Jackiw-Pi model) in the Hamiltonian, collective-field approach based on the 1/N expansion. We show that the dynamics of density excitations around the ground-state semiclassical configuration is governed by the Calogero or by the Sutherland Hamiltonian, depending on the symmetry of the underlying static-soliton configuration. The relationship between the Chern-Simons coupling constant $ł$ and the Calogero-Sutherland statistical parameter $ł_c$ signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

hep-th↗

arXiv1996

Multi-vortex solution in the Sutherland model

We consider the large-$N$ Sutherland model in the Hamiltonian collective-field approach based on the $1/N$ expansion. The Bogomol'nyi limit appears and the corresponding solutions are given by static-soliton configurations. They exist only for $ł<1$, i.e. for the negative coupling constant of the Sutherland interaction. We determine their creation energies and show that they are unaffected by higher-order corrections. For $ł=1$, the Sutherland model reduces to the free one-plaquette Kogut-Susskind model.

hep-th↗

arXiv1995

Collective-Field Excitations in the Calogero Model

We consider the large-N Calogero model in the \h\ collective-field approach based on the $1/N$ expansion. The Bogomol'nyi limit appears and the corresponding equation for the semiclassical configuration gives the correct ground-state energy. Using the method of the orthogonal polynomial we find the excitation spectrum of density fluctuations around the semiclassical solution for any value of the statistical parametar $ł$. The wave functions of the excited states are explicitly constructed as a product of Hermite polynomials in terms of the collective modes.The two-point correlation function is calculated as a series expansion in $1/ρ$ for any intermediate statistics.

hep-th↗

arXiv1994

Solitons in the Calogero-Sutherland Collective-Field Model

In the Bogomol'nyi limit of the Calogero-Sutherland collective-field model we find static-soliton solutions. The solutions of the equations of motion are moving solitons, having no static limit for $ł>1$. They describe holes and lumps, depending on the value of the statistical parametar $ł$.

hep-th↗