Original scientific paper

Path integral formulation of sigma model with noncommutative field space

A. Jahan ; Department of Physics, Islamic Azad University of Hashtgerd, P. O. Box 15555-135, Hashtgerd, Iran

Abstract

We reduce the sigma model with noncommutative field space to the quantum mechanical problem of two-dimensional harmonic oscillators with noncommutating coordinates. Then, by means of the Lagrangian formulation of the noncommutative quantum mechanics, we re-derive the finite-temperature partition function of the system derived earlier in the context of the Hamiltonian formulation of the model.

Keywords

two-dimensional harmonic oscillator; sigma model; noncommutative field theory; finite-temperature partition function

Hrčak ID:

304583

URI

https://hrcak.srce.hr/304583

Publication date:

1.11.2009.

Article data in other languages: croatian

Visits: 357 *