Two-spinor geometry and gauge freedom

Abstract

Gauge freedom in quantum particle physics is shown to arise in a natural way from the geometry of two-spinors (Weyl spinors). Various related mathematical notions are reviewed, and a special ansatz of the kind "the system defines the geometry" is discussed in connection with the stated results.

Elaboration of work presented at the workshop "Geometry and Quantum Theories", held in Florence, June 10-11, 2013, on the occasion of the retirement of Luigi Mangiarotti and Marco Modugno, International Journal of Geometric Methods in Modern Physics (2014)

References in corpus (3)

• Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
• "Minimal geometric data" approach to Dirac algebra, spinor groups and field theories
• Tetrad gravity, electroweak geometry and conformal symmetry

Cited by in corpus (1)

• Frölicher-smooth geometries, quantum jet bundles and BRST symmetry