Non minimal Lorentz violation in Gauge Theories and Gravity

• Grant number: 17/13767-9
• Support Opportunities: Scholarships abroad - Research
• Start date: January 09, 2018
• End date: November 18, 2018
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Alysson Fábio Ferrari
• Grantee: Alysson Fábio Ferrari
• Host Investigator: Alan Kostelecky
• Host Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Institution abroad: Indiana University, United States

Abstract

The search of small deviations from Lorentz symmetry as a possible window into new physics at very high energies has been a very active field of theoretical and experimental research in the past decades. The Standard Model Extension (SME) is an effective field theory that includes in the Standard Model (SM) and the Einstein-Hilbert actions all operators that violate Lorentz symmetry, while still preserving other relevant symmetries of these theories, allowing a systematical search for low energy physical effects of these Lorentz violations (LV). Negative results in experimental searches are then converted into very stringent limits for these LV, which constrain possible quantum gravity theories that may induce such LV. The LV operators in the SME can be divided into two sets: the minimal ones are leading by dimensional analysis, since they have mass dimension less or equal to four; non minimal operators have higher dimension, they are subleading as a general expectation, but sometimes they induce low energy effects that might be measured. In this research proposal, we intent to study the generation of non minimal LV operators as perturbative corrections, originating from some more fundamental, sometimes minimal, LV operators. Such mechanism for generation of minimal LV has a rich history in the field, ofter plagued with nontrivial technical issues such as ambiguities in the calculation of Feynmann diagrams, but the generation of non minimal LV, particularly in the gravity sector, is still a quite unexplored topic. We propose to help fill this gap by: extending previous work related to generation of LV couplings in axion physics, and extending this line of research for non minimal LV couplings in gravity.

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

A. F. FERRARI. A busca por violações da simetria de Lorentz: testando os princípios da relatividade restrita na escala de Planck. Revista Brasileira de Ensino de Física, v. 41, n. 4, 2019-07-01. (17/13767-9)

BORGES, L. H. C.; BARONE, F. A.; FERRARI, A. F.. The point-charge self-energy in a nonminimal Lorentz-violating Maxwell electrodynamics. EPL, v. 122, n. 3, MAY 2018. (17/13767-9, 16/11137-5)

NOGUEIRA, A. A.; PALECHOR, C.; FERRARI, A. F.. Reduction of order and Fadeev-Jackiw formalism in generalized electrodynamics. Nuclear Physics B, v. 939, p. 372-390, FEB 2019. (17/13767-9)

BORGES, L. H. C.; FERRARI, A. F.; BARONE, F. A.. Mirrors and field sources in a Lorentz-violating scalar field theory. Nuclear Physics B, v. 954, MAY 2020. (16/11137-5, 17/13767-9)

FERRARI, A. F.; LEHUM, A. C.. CP(N-1) model in aether-superspace. EPL, v. 122, n. 3, MAY 2018. (17/13767-9)