Lattice Field Theory

Institut für Physik
Mathematisch-Naturwissen­schaft­liche Fakultät
Humboldt-Universität zu Berlin

Mika Lauk
PhD Student

Office: 1.024 (IRIS)
Address: IRIS Adlershof, Zum Großen Windkanal 2, 12489 Berlin
Email: mika.​akim.​lauk@​hu-berlin.​de

Short Bio

Reasearch Interests

My research, on which I am working with Agostino Patella and Valentina Forini, is focused on Energy-momentum tensor n-point functions in 2d sigma models. Two-dimensional nonlinear sigma models on supersymmetric target spaces play a role in a variety of models in statistical mechanics and, notably, in string theory and the AdS/CFT correspondence. For their nonperturbative definition one possible starting point is the renormalization of the energy-momentum tensor in the two-dimensional O(N) sigma model in perturbation theory and non-perturbatively by means of lattice simulations. We are working on carrying out a detailed comparison of different methods for non- perturbative renormalization (shifted boundary conditions, Ward identities with probes at positive flowtime, small flowtime expansion), as well as performing an investigation of the trace anomaly and calculation of the central charge in the conformal case (N=2). We will generalize to supergroups and compare with integrability predictions.