Spectrum of anomalous dimensions in hypercubic theories (CROSBI ID 278219)
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Podaci o odgovornosti
Antipin, Oleg ; Bersini, Jahmall
engleski
Spectrum of anomalous dimensions in hypercubic theories
We compute the spectrum of anomalous dimensions of nonderivative composite operators with an arbitrary number of fields n in the O(N) vector model with cubic anisotropy at the one-loop order in the ε expansion. The complete closed-form expression for the anomalous dimensions of the operators which do not undergo mixing effects is derived, and the structure of the general solution to the mixing problem is outlined. As examples, the full explicit solution for operators with up to n=6 fields is presented and a sample of the operator product expansion coefficients is calculated. The main features of the spectrum are described, including an interesting pattern pointing to the deeper structure.
conformal field theory ; renormalization group
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Podaci o izdanju
100 (6)
2019.
065008
13
objavljeno
2470-0010
2470-0029
10.1103/PhysRevD.100.065008