Nonpolynomial normal modes of the renormalization group in the presence of a constant vector potential background |
| |
| Institution: | 1. Saudi Center for Theoretical Physics, P.O. Box 32741, Jeddah 21438, Saudi Arabia;2. Physics Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia;1. Dipartimento di Fisica ed Astronomia, Università di Padova, Via Marzolo 8, 35131 Padova, Italy;2. INFN, Sezione di Padova, Via Marzolo 8, 35131 Padova, Italy;3. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany;1. Bogolyubov Institute for Theoretical Physics, Metrologichna Str., 14-b, Kyiv, 03680, Ukraine;2. National Technical University of Ukraine “KPI”, Peremohy av., 37, Kyiv, 03056, Ukraine;1. Institut de Physique Théorique, CEA Saclay, F-91191 Gif-sur-Yvette, France;2. Mathematical Physics Laboratory, RIKEN Nishina Center, Saitama 351-0198, Japan;3. Institute of Physics AS CR, Na Slovance 2, Prague 8, Czech Republic |
| |
| Abstract: | We examine the renormalization group flow in the vicinity of the free-field fixed point for effective field theories in the presence of a constant, nondynamical vector potential background. The interaction with this vector potential represents the simplest possible form of Lorentz violation. We search for any normal modes of the flow involving nonpolynomial interactions. For scalar fields, the inclusion of the vector potential modifies the known modes only through a change in the field strength renormalization. For fermionic theories, where an infinite number of particle species are required in order for nonpolynomial interactions to be possible, we find no evidence for any analogous relevant modes. These results are consistent with the idea that the vector potential interaction, which may be eliminated from the action by a gauge transformation, should have no physical effects. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
