Abstract
The nonperturbative theory based on the gauge technique is developed for zero temperature and is then extended to finite temperatures in order to investigate chiral-symmetry breakdown in standard continuum field theory of Quantum Chromodynamics in (2+1)-dimensional space. A linearized approximate Dyson-Schwinger equation of the theory is employed to establish that chiral symmetry is broken for a range of temperatures. We are able to demonstrate that the system of quarks exhibits phase transitions characterized by a deconfinement phase and a chiral-symmetry restoration phase and we derive the gap equation for the dynamical quark mass in the different phases. A detailed study of the gap equation reveals that the critical temperature at which chiral symmetry is restored is determined by the infrared regulator mass of the theory.
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