Conformally invariant spin-32documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$frac{3}{2}$$end{document} field equation in de Sitter space–time

محورهای موضوعی : Journal of Theoretical and Applied Physics

N. Fatahi ¹ (Department of Physics, Science and Research Branch)

تاریخ انتشار : 1394/09/10

کلید واژه: Spinor Field, Discrete Series, Casimir Operator, Unitary Irreducible Representa, Massless Spin,

چکیده مقاله :

AbstractIn the previous paper (Behroozi et al., Phys Rev D 74:124014, 2006; Dehghani et al., Phys Rev D 77:064028, 2008), conformal invariance for massless tensor fields (scalar, vector and spin-2 fields) was studied and the solutions of their wave equations and two-point functions were obtained. In the present paper, conformally invariant wave equation for massless spinor field in de Sitter space–time has been obtained. For this propose, we use Dirac’s six-cone formalism. The solutions of massless spin-12documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$frac{1}{2}$$end{document} and -32documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$frac{3}{2}$$end{document} equations, in the ambient space notation, have been calculated.