2019/02/24 by Georgios M. Koutentakis, Koutentakis, Georgios M.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1902.09965
openalex publication_date 2019/02/24 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
We develop a formalism with two different UV cutoff scales, one for space and\none for time, appropriate for the richer structure of non-Lorentz invariant\nquantum field theories. In this formalism there are two different\nbeta-functions for each coupling constant, arising from independent variations\nof the energy or momentum cutoffs. For holographic non-relativistic theories\nwith rotational invariance, we develop the technique to calculate such\nbeta-functions using a generalization of the superpotential formalism developed\nin [JHEP bf 1208, 164 (2012)]. We then proceed and compute the\nbeta-function around a Lifshitz critical point, as well as for general\nLifshitz-invariant theories with hyperscaling violation. Finally, we do a\nsimilar computation in a weakly-coupled Lifshitz invariant QFT.\n