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FIZIKA B 18 (2009) 4, 189-194
 
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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