Computer Science
Chiral models: Their implication for gauge theories and large N
Abstract
Two-dimensional chiral models are investigated from a strong coupling viewpoint, with the ultimate objective of understanding the phase structure of gauge theories. Predictions for the average link and beta function are obtained. The abelian case agrees well with previous work. Strong evidence for a phase transition in the U(N) cases is found, in contrast to the SU(2) and SU(3) theories. Large N character expansion techniques are developed and give strong evidence for a large N phase transition. Our conclusions can be applied qualitatively to gauge theories, with one difference: instantons are necessary in QCD for connecting weak with strong coupling. © 1981.
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