Open AccessConjugate spinor field equation for massless spin-$\frac{3}{2}$ field in de Sitter ambient space
Author(s) -
sedigheh falahi,
S. Parsamehr
Publication year - 2021
Publication title -
revista mexicana de física/revista mexicana de física
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.181
H-Index - 25
eISSN - 2683-2224
pISSN - 0035-001X
DOI - 10.31349/revmexfis.67.465
Subject(s) - physics , mathematical physics , de sitter space , de sitter invariant special relativity , massless particle , spinor field , anti de sitter space , spinor , de sitter universe , dirac equation , field (mathematics) , gauge theory , invariant (physics) , quantum electrodynamics , quantum mechanics , mathematics , pure mathematics , universe
The quantum field theory in de Sitter ambient space provide us with a comprehensivedescription of massless gravitational field.Using the gauge-covariant derivative in the de Sitter ambient space, the gauge invariant Lagrangian density has been found.In this paper, the equation of the conjugate spinor for massless spin-$\frac{3}{2}$ field is obtained by Euler-Lagrange equation. Then the field equation is written in terms of the Casimir operator of the de Sitter group. Finally, the gauge invariant field equation is presented.