Higher-spin currents in the Gross-Neveu model at $1/n^2$
Preprint
Abstract
We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the $1/n^2$ order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on $AdS_4$. The $AdS/CFT$ correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.
Keywords
All Related Versions
This publication has 60 references indexed in Scilit:
- Comments on higher‐spin holographyFortschritte der Physik, 2012
- Critical dimensions of composite operators in the nonlinear σ-modelTheoretical and Mathematical Physics, 1998
- Proof of the absence of multiplicative renormalizability of the Gross-Neveu model in the dimensional regularizationd=2+2ɛTheoretical and Mathematical Physics, 1997
- Three-loop calculation of the anomalous field dimension in the full four-fermionU N -symmetric modelTheoretical and Mathematical Physics, 1996
- On the equivalence of renormalizations in standard and dimensional regularizations of 2D four-fermion interactionsTheoretical and Mathematical Physics, 1996
- A method of calculating the critical dimensions of composite operators in the massless nonlinear σ modelTheoretical and Mathematical Physics, 1993
- The 1/n expansion in the Gross-Neveu model: Conformal bootstrap calculation of the index η in order 1/n 3Theoretical and Mathematical Physics, 1993
- Analog of dimensional regularization for calculation of the renormalization-group functions in the 1/n expansion for arbitrary dimension of spaceTheoretical and Mathematical Physics, 1983
- 1/n Expansion: Calculation of the exponent ν in the order 1/n3 by the Conformal Bootstrap MethodTheoretical and Mathematical Physics, 1982
- 1/n Expansion: Calculation of the exponents η andν in the order 1/n2 for arbitrary number of dimensionsTheoretical and Mathematical Physics, 1981