Introduction to spin-2 and spin-3 self-dual models

• Grant number: 16/09489-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2016
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Denis Dalmazi
• Grantee: Rafael Robson Lino dos Santos
• Host Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil

Abstract

One can build up elementary particle models of spin-1 and spin-2 by combining the so called self-dual models which only exist on the plane (two spatial dimensions) and have well defined helicity. Therefore, the self-dual models become basic building blocks for elementary particles. Such bootstrap approach works nicely for spin-1 and spin-2 but apparently, the existence of auxiliary fields of lower rank, as compared to the fundamental field, complicates a full deduction of a massive spin-3 model. We believe that the reason behind that problem is the absence of a convenient formulation for spin-3 self-dual models which have been introduced in the literatures in a rather ad hoc way. Even the spin-2 self-dual models have been defined non-systematically. Here the student will investigate spin-2 and spin-3 first-order (in derivatives) self-dual models. He will make use of common techniques in field theory, like Poincarè transformations, Noether theorem, Euler-Lagrange equations and the derivation of the propagator of a free field theory. The main idea is to introduce the student to simple techniques which might be useful also in other problems in field theory. Technically, we expect to find new spin-2 and spin-3 self-dual models and to figure out how those models are build up after all. Even if we do not find new self-dual models we believe that will be able to prove the uniqueness of the existing models.

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)

DALMAZI, D.; DOS SANTOS, A. L. R.; LINO DOS SANTOS, R. R.. Higher order self-dual models for spin-3 particles in D=2+1. Physical Review D, v. 98, n. 10, NOV 5 2018. (17/23966-9, 16/09489-0)

DALMAZI, D.; DOS SANTOS, A. L. R.; LINO DOS SANTOS, R. R.. Higher order self-dual models for spin-3 particles in D=2+1. PHYSICAL REVIEW D, v. 98, n. 10, p. 9-pg., 2018-11-05. (16/09489-0, 17/23966-9)