A Geometric Representation for the Proca Model
Jaime Camacaro, Rolando Gait\'an, Lorenzo Leal
TL;DR
This paper introduces a geometric representation for the Proca model, extending the Loop Representation of gauge theories to a gauge-invariant formulation that reduces to the standard Proca Lagrangian under specific gauge choices.
Contribution
It presents a novel open-path dependent geometric representation for the Proca model, generalizing existing gauge theory frameworks.
Findings
Provides a gauge-invariant Lagrangian formulation
Reduces to the standard Proca Lagrangian under specific gauge
Extends the Loop Representation to the Proca model
Abstract
The Proca model is quantized in an open-path dependent representation that generalizes the Loop Representation of gauge theories. The starting point is a gauge invariant Lagrangian that reduces to the Proca Lagrangian when certain gauge is selected.
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