A Geometric Representation for 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.

10 pages, Latex

Cited by in corpus (12)

• First-Class Approaches to Massive 2-Forms
• Maxwell Chern Simons Theory in a Geometric Representation
• On Path Dependent State Space for the Proca Field
• Interacting Particles and Strings in Path and Surface Representations
• Magnetic Monopole in the Loop Representation
• A Geometric Approach to Massive p-form Duality
• Loop representation of charged particles interacting with Maxwell and Chern-Simons fields
• Geometric Representation of the generator of duality in massless and massive $p-$form field theories
• The space of signed points and the Self Dual Model
• A topological invariant in the context of the loop representation of the massive Kalb-Ramond-Klein-Gordon model
• Geometric Representation of Interacting Non-Relativistic Open Strings using Extended Objects
• Loop Equations in Abelian Gauge Theories