Göttingen 2012 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 23: Gittereichtheorie

T 23.6: Vortrag

Donnerstag, 1. März 2012, 18:00–18:15, VG 3.101

MCRG Flow for the Nonlinear Sigma Model — •Daniel Körner — Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Deutschland

A study of the renormalization group flow in the three-dimensional nonlinear O(N) sigma model using Monte Carlo Renormalization Group (MCRG) techniques is presented. To achieve this, blockspin transformations are combined with canonical demon methods to determine the flow diagram for a number of different truncations. Systematic errors of the approach are highlighted. Results are discussed with hindsight on the fixed point structure of the model and the corresponding critical exponents. Special emphasis is drawn on the existence of a nontrivial ultra violet fixed point which is a desired property for theories modeling the asymptotic safety scenario of quantum gravity.