The spectrum of critical exponents in ( Φ2) 2 theory in d = 4 - ɛ dimensions Resolution of degeneracies and hierarchical structures
Abstract
The spectrum of critical exponents of the N-vector model in 4 - ɛ dimensions is investigated to the second order in ɛ. A generic class of one-loop degeneracies that has been reported in a previous work is lifted in two-loop order. One- and two-loop 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:
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Nuclear Physics B
- Pub Date:
- February 1995
- DOI:
- 10.1016/0550-3213(95)00375-3
- arXiv:
- arXiv:hep-th/9507044
- Bibcode:
- 1995NuPhB.453..777K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 33 pages, uuencoded compressed postscript