Bremen 2017 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 15: Quantenaspekte der Gravitation und vereinheitlichender Theorien 1

GR 15.2: Talk

Thursday, March 16, 2017, 17:10–17:30, SFG 0140

Quantum properties of theories with anisotropic scaling — •Christian F. Steinwachs¹, Andrei O. Barvinsky^2,3, Diego Blas⁴, Mario Herrero-Valea⁵, Dmitry V. Nesterov², Guillem Perez-Nadal⁶, and Sergey M. Sibiryakov^4,5,7 — ¹Physikalisches Institut, Albert-Ludwigs Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany — ²Theory Department, Lebedev Physics Institute, Leninskii Pr. 53, Moscow 119991, Russia — ³Department of Physics, Tomsk State University, Lenin Ave. 3 6, Tomsk 634050, Russia — ⁴CERN Theory Division, CH-1211 Geneva 23, Switzerland — ⁵Institut de Théorie des Phénomènes Physiques, EPFL, CH-1015 Lausanne, Switzerland — ⁶Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, pabellón 1 (1428) Buenos Aires, Argentina — ⁷Institute for Nuclear Research of the Russian Academy of Sciences

We discuss the quantum properties of theories with an anisotropic scaling of space and time. Such theories break fundamental Lorentz invariance in the UV. New techniques have to be applied to analyze general renormalization properties and to perform explicit calculations – among them a non-local gauge fixing procedure. We present a method how calculations of quantum divergences in a non-covariant theory can be related to the well known heat kernel technique for covariant theories and discuss the application of this technique to the model of Hořava-Lifshitz gravity.