BROKEN CHIRAL-SYMMETRY IN 2-QUANTUM CHROMODYNAMICS AT FINITE-TEMPERATURE(1)

The nonperturbative theory based on the gauge technique is developed f or zero temperature and is then extended to finite temperatures in ord er to investigate chiral-symmetry breakdown in standard continuum fiel d theory of Quantum Chromodynamics in (2 + 1)-dimensional space. A lin earized approximate Dyson-Schwinger equation of the theory is employed to establish that chiral symmetry is broken for a range of temperatur es. We are able to demonstrate that the system of quarks exhibits phas e transitions characterized by a deconfinement phase and a chiral-symm etry restoration phase and we derive the gap equation for the dynamica l quark mass in the different phases. A detailed study of the gap equa tion reveals that the critical temperature at which chiral symmetry is restored is determined by the infrared regulator mass of the theory.