Spinor Two Point Functions in Maximally Symmetric Spaces

Feb, 1986
22 pages
Published in:
  • Commun.Math.Phys. 106 (1986) 201
Report number:
  • TUTP 86-2

Citations per year

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Abstract: (Springer)
The two-point function for spinors on maximally symmetric four-dimensional spaces is obtained in terms of intrinsic geometric objects. In the massless case, Weyl spinors in anti de Sitter space can not satisfy boundary conditions appropriate to the supersymmetric models. This is because these boundary conditions break chiral symmetry, which is proven by showing that the “order parameter”ψˉψ\left\langle {\bar \psi \psi } \right\rangle for a massless Dirac spinor is nonzero. We also give a coordinate-independent formula for the bispinorS(x)Sˉ(x)S(x)\bar S(x') introduced by Breitenlohner and Freedman [1], and establish the precise connection between our results and those of Burges, Davis, Freedman and Gibbons [2].
  • FIELD THEORY: SPACE-TIME
  • FIELD THEORY: DE SITTER
  • FIELD THEORY: SPINOR
  • SPINOR: FIELD THEORY
  • FIELD THEORY: MASSLESS
  • MASSLESS: FIELD THEORY
  • FIELD THEORY: MASSIVE
  • MASSIVE: FIELD THEORY
  • TWO-POINT FUNCTION
  • FIELD THEORY: SHORT-DISTANCE BEHAVIOR