Tensor Models and Limit Cycles

Abstract: Matrix and tensor models with U(N) or O(N) symmetry offer a surprise on analytic continuation in N: the existence of fixed points of the beta functions where the the coupling constants gi are real but the scaling dimensions, as determined by the eigenvalues of the Jacobian matrix ∂βi/∂gj, are complex. When these complex eigenvalues cross the imaginary axis, a Hopf bifurcation takes place and gives rise to a limit cycle in the RG flow. In this talk, I will present an overview of this phenomenon and present a number of examples.

general relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the topic

CCTP HEP Seminars

Series comments: Description: Seminars in high energy physics

Weekly HEP Seminars in the broad spectrum of High Energy Physics at University of Crete.

Recordings of past seminars can be found at conference.physics.uoc.gr/b/hep-kzk-2ad