Aspects of non-commutative gauge theories

• Grant number: 19/26291-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2020
• End date: June 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitry Vasilevich
• Grantee: Ozorio Bezerra Holanda Neto
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems, AP.TEM

Abstract

The search for a consistent Gauge theory in Non-Commmutative (NC) is a longstanding problem with various solutions, non of them free from critisism. These theories break the Leibniz rule when using a non-constant NC parameter, Gribov copies appear induced by the non-commutativity of the space-time in the Landau Gauge and UV/IR mixing causes divergences on the NC Moyal plane. We propose three solutions for these problems. The first is to use the L infinity bootstrap to circumvent the failure of the Leibniz rule. The second proposal is to construct a Gribov region in NC Moyal space. The third proposal is to eliminate the UV/IR mixing divergence by renormalizing a Gauge theory on a NC torus. (AU)

Scientific publications

(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)

HOLANDA, OZORIO; GUIMARAES, MARCELO S.; ROSA, LUIGI; VITALE, PATRIZIA. ribov horizon in Noncommutative QE. Nuclear Physics B, v. 974, JAN 2022. (19/26291-8)