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We study the relation of confinement and chiral symmetry breaking in gaugetheories with non-trivial center, such as SU(N) gauge theories. To this end, wedeform these gauge theories by introducing an additional control parameter intothe theory and by varying the representation of the quark fields. We thenconsider a large-d(R) expansion of the effective action, where d(R) denotes thedimension of the representation R of the quark fields. We show how ourlarge-d(R) expansion can be extended in a systematic fashion and discuss theeffects of 1/d(R)-corrections on the dynamics close to the finite-temperaturephase boundary. Our analysis of the fixed-point structure of the theorysuggests that the order, in which the chiral and the deconfinement phasetransition occur, is dictated by the representation of the quark fields and bythe underlying gauge group. In particular, we find that the phase diagram inthe plane spanned by the temperature and our additional control parameterexhibits an intriguing phase structure for quarks in the fundamentalrepresentation. For SU(N) gauge theories with adjoint quarks, on the otherhand, the structure of this phase diagram appears to be less rich, at least inleading order in the 1/d(R)-expansion.

On the Relation of the Deconfinement and the Chiral Phase Transition in Gauge Theories with Fundamental and Adjoint Matter