The spectrum of critical exponents in ( Φ^{2}) ^{2} theory in d = 4  ɛ dimensions Resolution of degeneracies and hierarchical structures
Abstract
The spectrum of critical exponents of the Nvector model in 4  ɛ dimensions is investigated to the second order in ɛ. A generic class of oneloop degeneracies that has been reported in a previous work is lifted in twoloop order. One and twoloop results lead to the conjecture that the spectrum possesses a remarkable hierarchical structure: The naive sum of any two anomalous dimensions generates a limit point in the spectrum, an anomalous dimension plus a limit point generates a limit points and so on. An infinite hierarchy of such limit points can be observed in the spectrum.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)003753
 arXiv:
 arXiv:hepth/9507044
 Bibcode:
 1995NuPhB.453..777K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 33 pages, uuencoded compressed postscript