Reduction of order and Fadeev-Jackiw formalism in generalized electrodynamics

Autor(es)

Nogueira, A. A. ^{[1, 2]} ; Palechor, C. ^[1] ; Ferrari, A. F. ^{[1, 3]}

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, Ctr Ciencias Nat & Humanas, Rua Santa Adelia 166, BR-09210170 Santo Andre, SP - Brazil

^[2] Univ Fed Goias, Inst Fis, Av Esperanca, BR-74690900 Goiania, Go - Brazil

^[3] Indiana Univ, Ctr Spacetime Symmetries, Bloomington, IN 47405 - USA

• Tipo de documento: Artigo Científico
• Fonte: Nuclear Physics B; v. 939, p. 372-390, FEB 2019.
• Citações Web of Science: 1

Resumo

The aim of this work is to discuss some aspects of the reduction of order formalism in the context of the Fadeev-Jackiw symplectic formalism, both at the classical and the quantum level. We start by reviewing the symplectic analysis in a regular theory (a higher derivative massless scalar theory), both using the Ostrogradsky prescription and also by reducing the order of the Lagrangian with an auxiliary field, showing the equivalence of these two approaches. The interpretation of the degrees of freedom is discussed in some detail. Finally, we perform the similar analysis in a singular higher derivative gauge theory (the Podolsky electrodynamics), in the reduced order formalism: we claim that this approach have the advantage of clearly separating the symplectic structure of the model into a Maxwell and a Proca (ghost) sector, thus complementing the understanding of the degrees of freedom of the theory and simplifying calculations involving matrices. (C) 2019 The Authors. Published by Elsevier B.V. (AU)

• Processo FAPESP: 17/13767-9 - Violação de Lorentz não-mínima em teorias de calibre e na gravitação
• Beneficiário: Alysson Fábio Ferrari
• Modalidade de apoio: Bolsas no Exterior - Pesquisa