On the stability problem in the O(N) nonlinear sigma model

Abstract

The stability problem for the O(N) nonlinear sigma model in the 2+εdimensions is considered. We present the results of the 1/N^{2} order calculations of the critical exponents (in the 2<d<4 dimensions) of the composite operators relevant for this problem. The arguments in the favor of the scenario with the conventional fixed point are given.

9 pages, revtex, 1 Postscript figure

References in corpus (3)

• High-gradient operators in the N-vector model
• Progress with large N_f beta-functions
• Fancy and facts in the (d - 2) expansion of non-linear sigma models

Cited by in corpus (14)

• Anderson Transitions
• Quantum Field Theory in the Large N Limit: a review
• The critical O(N) CFT: Methods and conformal data
• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• The simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion
• Operator expansions, layer susceptibility and two-point functions in BCFT
• Random Field Ising Model and Parisi-Sourlas Supersymmetry. Part II. Renormalization Group
• Correction exponents in the Gross - Neveu - Yukawa model at $1/N^2$
• Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite $\mathbf{\epsilon }$
• NNLO anomalous dimension matrix for twist-two flavor-singlet operators
• Disturbing news about the $d=2+\epsilon$ expansion
• Conformal Data for the O(3) Wilson-Fisher Conformal Field Theory from Fuzzy Sphere Realization of the Quantum Rotor Model
• Long-Range Vector Models at Large N
• High-Gradient Operators in the psl(2|2) Gross-Neveu Model