The Gauss Constraint in the Extended Loop Representation
Cayetano Di Bartolo
TL;DR
This paper investigates the Gauss constraint within the extended loop representation of quantum gravity, identifying a gauge-invariant sector of the state space that avoids convergence problems associated with extended holonomies.
Contribution
It introduces a gauge-invariant sector in the extended loop representation that circumvents convergence issues of extended holonomies.
Findings
Existence of a gauge-invariant sector in the extended loop representation.
This sector is free from the convergence problems of extended holonomies.
Provides a rigorous foundation for gauge invariance in quantum gravity models.
Abstract
The Gauss constraint in the extended loop representation for quantum gravity is studied. It is shown that there exists a sector of the state space that is rigorously gauge invariant without the generic convergence issues of the extended holonomies.
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