I study a class of interacting conformal field theories and conformal windows in three dimensions, formulated using the Parisi large-N approach and a modified dimensional-regularization technique. Bosons are associated with composite operators and their propagators are dynamically generated by fermion bubbles. Renormalization-group flows between pairs of interacting fixed points satisfy a set of non-perturbative g <-> 1/g dualities. There is an exact relation between the beta function and the anomalous dimension of the composite boson. Non-Abelian gauge fields have a non-renormalized and quantized gauge coupling, although no Chern-Simons term is present. A problem of the naive dimensional-regularization technique for these theories is uncovered and removed with a non-local, evanescent, non-renormalized kinetic term. The models are expected to be a fruitful arena for the study of odd-dimensional conformal field theory.
|Autori interni:||ANSELMI, DAMIANO|
|Titolo:||Large-N expansion, conformal field theory and renormalization-group flows in three dimensions|
|Anno del prodotto:||2000|
|Digital Object Identifier (DOI):||10.1088/1126-6708/2000/06/042|
|Appare nelle tipologie:||1.1 Articolo in rivista|