• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Master's Dissertation
DOI
https://doi.org/10.11606/D.43.1990.tde-19062015-151034
Document
Author
Full name
Leonidas Sandoval Junior
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1990
Supervisor
Committee
Rivelles, Victor de Oliveira (President)
Silva, Adilson Jose da
Zimerman, Abraham Hirsz
Title in Portuguese
Partículss relativístivas com spin e campos tensoriais antissimétricos
Keywords in Portuguese
Partículas super simétricas
Quantização BRST
Tensor antissimétrico
Abstract in Portuguese
Neste trabalho, fazemos um estudo dos campos tensoriais antissimétricos em geral e, em particular, do campo tensorial antissimétrico de ordem dois. Utilizando o método de quantização BRST-BFV para teorias redutíveis no formalismo hamiltoniano, mostramos a equivalência quântica do campo tensorial antissimétrico de ordem dois não-massivo ao campo escalar em 4 dimensões e ao campo vetorial no gauge de Lorentz em 5 dimensões. Também é mostrada a equivalência entre as formulações de 1ª e 2ª ordem do campo tensorial antissimétrico de ordem dois. Por fim, é efetuada a quantização BRST-BFV de um modelo de partícula relativística com spin com duas supersimetrias acrescido de um termo Chern-Simons, mostrando que a amplitude de transição obtida equivale à amplitude de transição do "rotacional" de um campo tensorial antissimétrico de ordem qualquer. O caso massivo também é tratado brevemente.
Title in English
Relativistic particles with spin and anti symmetric tensor fields
Keywords in English
Anti symmetric tensor
BRST quantization
Super symmetric particles
Abstract in English
In this work, we make a study of anti symmetric tensor fields in general, and, in particular, of the anti symmetric tensor fields of order two. Using the BRST-BFV quantization method for reducible theories in the Hamiltonian formalism, we show the quantum equivalence of the massless anti symmetric tensor field of order two to the scalar field in 4 dimensions, and to the vector field in the Lorentz gauge in 5 dimensions. It is also shown the quantum equivalence between the 1st and 2nd order formulations for the anti symmetric tensor field of order two. Finally, it is made the BRST-BFV quantization of a model of relativistic spinning particle with two super symmetries with a Chern-Simons term, showing that the transition amplitude obtained is equivalent to the transition amplitude for the field strength of an anti symmetric tensor field of any order. The massive case is also treated in breaf.
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
Publishing Date
2015-06-22
 
WARNING: The material described below relates to works resulting from this thesis or dissertation. The contents of these works are the author's responsibility.
  • RIVELLES, V. O., e SANDOVAL JR, L. On The Quantum Equivalence Of Antisymmetric Tensor Field Theories. Brazilian Journal of Physics, 1991, vol. 21, p. 374.
  • SANDOVAL JR, L., and RIVELLES, V. O. Brst Quantization Of Relativisitic Spinning Particles With A Chern-Simons Term. Classical and Quantum Gravity, 1991, vol. 8, p. 1605.
All rights of the thesis/dissertation are from the authors
CeTI-SC/STI
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2024. All rights reserved.