Hidden Quantum Gravity In 4d Feynman Diagrams: Emergence Of Spin Foams
CLASSICAL AND QUANTUM GRAVITY(2007)
摘要
We show how Feynman amplitudes of standard quantum field theory on flat and homogeneous space can naturally be recast as the evaluation of observables for a specific spin foam model, which provides the dynamics for the background geometry. We identify the symmetries of this Feynman graph spin foam model and give the gauge-fixing prescriptions. We also show that the gauge-fixed partition function is invariant under Pachner moves of the triangulation, and thus defines an invariant of four-dimensional manifolds. Finally, we investigate the algebraic structure of the model, and discuss its relation with a quantization of 4D gravity in the limit G(N) -> 0.
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