5 papers
Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models
Christine Guenther, Todd A. Oliynyk
We prove the stability of the torus, and with suitable rescaling, hyperbolic space under the (two-loop) renormalization group flow for the nonlinear sigma model. To prove stability…
Spherical symmetry of generalized EYMH fields
H. P. Kunzle, Todd A. Oliynyk
The possible actions of symmetry groups on generalized Higgs fields coupled to an Einstein-Yang-Mills field are studied with differential geometrical techniques involving principal…
Newtonian perturbations and the Einstein-Yang-Mills-dilaton equations
Todd Oliynyk
In this paper we show that problem of proving the existence of a countable number of solutions to the static spherically symmetric SU(2) Einstein-Yang-Mills-dilaton (EYMd) equation…
A Metric for Gradient RG Flow of the Worldsheet Sigma Model Beyond First Order
T. Oliynyk, V. Suneeta, E. Woolgar
Tseytlin has recently proposed that an action functional exists whose gradient generates to all orders in perturbation theory the Renormalization Group (RG) flow of the target spac…
Global existence of solutions to the Einstein-Yang-Mills-dilaton equations
Todd A. Oliynyk
This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.