{ "id": "hep-th/0507113", "version": "v3", "published": "2005-07-12T15:31:09.000Z", "updated": "2005-10-13T17:43:25.000Z", "title": "New results in the deformed N=4 SYM theory", "authors": [ "G. C. Rossi", "E. Sokatchev", "Ya. S. Stanev" ], "comment": "LaTeX, 16 pages, 1 figure; references added; typos corrected; final version to appear in Nucl. Phys. B", "journal": "Nucl.Phys. B729 (2005) 581-593", "doi": "10.1016/j.nuclphysb.2005.09.017", "categories": [ "hep-th" ], "abstract": "We investigate various perturbative properties of the deformed N=4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield propagator and derive the condition on the couplings for maintaining finiteness at this order. We compute the 2-, 3- and 4-point functions of composite operators of dimension 2 at two loops. We identify all the scalar operators (chiral and non-chiral) of bare dimension 4 with vanishing one-loop anomalous dimension. We compute some 2- and 3-point functions of these operators at two loops and argue that the observed finite corrections cannot be absorbed by a finite renormalization of the operators.", "revisions": [ { "version": "v3", "updated": "2005-10-13T17:43:25.000Z" } ], "analyses": { "keywords": [ "sym theory", "chiral matter superfield propagator", "composite operators", "three-loops calculation", "scalar operators" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "inspire": 687227 } } }