Higher spin currents in the critical $O(N)$ vector model at $1/N^2$
| Autor: | M. Strohmaier, A. N. Manashov, Evgeny Skvortsov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Gravity (chemistry) Computation FOS: Physical sciences 1/N expansion 01 natural sciences anomalous dimension Quantum mechanics 0103 physical sciences Order (group theory) Singlet state 010306 general physics Condensed Matter - Statistical Mechanics Spin-½ Physics Statistical Mechanics (cond-mat.stat-mech) 010308 nuclear & particles physics Conformal field theory ddc:530 O(N) 530 Physik NONLINEAR SIGMA-MODEL GROSS-NEVEU MODEL ANOMALOUS DIMENSIONS COMPOSITE-OPERATORS EXPONENT-ETA ORDER EXPANSION RENORMALIZATION ADS 1/N Expansion Conformal Field Theory Higher Spin Symmetry high [spin] n-vector model High Energy Physics - Theory (hep-th) gravitation vector [model] duality singlet [spin] |
| Zdroj: | Journal of High Energy Physics |
| DOI: | 10.3204/PUBDB-2017-06909 |
| Popis: | Journal of high energy physics 1708(08), 106(2017). doi:10.1007/JHEP08(2017)106 We calculate the anomalous dimensions of higher spin singlet currents in the critical O(N ) vector model at order 1/N$^2$. The results are shown to be in agreement with the four-loop perturbative computation in $ϕ^4$ theory in 4 − 2ϵ dimensions. It is known that the order 1/N anomalous dimensions of higher-spin currents happen to be the same in the Gross-Neveu and the critical vector model. On the contrary, the order 1/N$^2$ corrections are different. The results can also be interpreted as a prediction for the two-loop computation in the dual higher-spin gravity. Published by Springer, Berlin |
| Databáze: | OpenAIRE |
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