NEXT-TO-LEADING ORDER EFFECTIVE POTENTIAL IN THE 2-JONA-LASINIO MODELAT FINITE-TEMPERATURE - ART. NO. 065003(1 DIMENSIONAL NAMBU)

The finite temperature effective potential in the 2+1 dimensional Namb u-Jona-Lasinio model is constructed up to the next to leading order in the large N expansion, where N is the number of flavors in the model. The distinctive feature of the analysis is an inclusion of an additio nal scalar field, which allows us to circumvent the well known, and ot herwise unavoidable problem with the imaginary contribution to the eff ective potential. In accordance with the Mennin-Wagner-Coleman theorem , applied to the dimensionally reduced subsystem of the zero Matsubara modes of the composite boson fields, the finite temperature effective potential reveals a global minimum at the zero of the composite order parameter. This allows us to conclude that the continuous global symm etry of the NJL model is not broken for any arbitrarily small, finite temperature. [S0556-2821(98)06316-4].