FIZIKA B 18 (2009) 4, 189-194

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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

Received 21 February 2009;   Accepted 23 September 2009
Online 29 October 2009

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.

PACS numbers: 03.65.Ca, 11.10.Nx
UDC 539.12

Keywords: two-dimensional harmonic oscillator, sigma model, noncommutative field theory, finite-temperature partition function

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