Conjugate spinor field equation for massless spin-$\frac{3}{2}$ field in de Sitter ambient space | Zendy

Sedigheh Falahi | Zendy; S. Parsamehr | Zendy

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Conjugate 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

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.

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