Critical exponent omega at O(1/N) in O(N) x O(m) spin models

Abstract

We compute the O(1/N) correction to the stability critical exponent, omega, in the Landau-Ginzburg-Wilson model with O(N) x O(m) symmetry at the stable chiral fixed point and the stable direction at the unstable antichiral fixed point. Several constraints on the O(1/N) coefficients of the four loop perturbative beta-functions are computed.

16 latex pages, 3 postscript figures

References in corpus (4)

• Heisenberg frustrated magnets: a nonperturbative approach
• The critical behavior of frustrated spin models with noncollinear order
• Large-n Critical Behavior of O(n)xO(m) Spin Models
• Critical behavior of frustrated systems: Monte Carlo simulations versus Renormalization Group

Cited by in corpus (13)

• Quantum Field Theory in the Large N Limit: a review
• Seeking Fixed Points in Multiple Coupling Scalar Theories in the $\epsilon$ Expansion
• Five-loop epsilon expansion for O(n)xO(m) spin models
• Analytic and Numerical Bootstrap of CFTs with $O(m)\times O(n)$ Global Symmetry in 3D
• On the criticality of frustrated spin systems with noncollinear order
• Critical thermodynamics of three-dimensional chiral model for N > 3
• Six-loop $\epsilon$ expansion study of three-dimensional $O(n)\times O(m)$ spin models
• Large-n expansion for m-axial Lifshitz points
• Six dimensional Landau-Ginzburg-Wilson theory
• Critical behavior of frustrated spin systems with nonplanar orderings
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Bootstrapping frustrated magnets: the fate of the chiral $\mathrm{O}(N)\times \mathrm{O}(2)$ universality class
• Bifundamental Multiscalar Fixed Points in $d=3-\epsilon$