FIZIKA B 18 (2009) 4, 189194
PATH INTEGRAL FORMULATION OF SIGMA MODEL WITH NONCOMMUTATIVE FIELD SPACE
A. JAHAN
Department of Physics, Islamic Azad University of Hashtgerd,
P. O. Box 15555135, 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 twodimensional harmonic oscillators with noncommutating
coordinates. Then, by means of the Lagrangian formulation of the noncommutative
quantum mechanics, we rederive the finitetemperature 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: twodimensional harmonic oscillator, sigma model, noncommutative
field theory, finitetemperature partition function
