Hamiltonian dynamics of 5D Kalb-Ramond theories with a compact dimension
Alberto Escalante (IFUAP, Mexico), Alberto L\'opez-Villanueva, (BUAP, Puebla, ECFM)
TL;DR
This paper performs a comprehensive Hamiltonian analysis of 5D Kalb-Ramond theories with a compact dimension, including constraint formulation, quantization, and gauge fixing, revealing pseudo-Goldstone bosons.
Contribution
It introduces a complete Hamiltonian and quantization framework for 5D Kalb-Ramond theories with compact dimensions, including gauge fixing and identification of pseudo-Goldstone bosons.
Findings
Complete constraint analysis and Dirac bracket quantization.
Identification of pseudo-Goldstone bosons in effective theories.
Discussion of gauge fixing and theoretical prospects.
Abstract
A detailed Hamiltonian analysis for a five-dimensional Kalb-Ramond, massive Kalb-Ramond and St{\"{u}}eckelberg Kalb-Ramond theories with a compact dimension is performed. We develop a complete constraint program, then we quantize the theory by constructing the Dirac brackets. From the gauge transformations of the theories, we fix a particular gauge and we find pseudo-Goldstone bosons in Kalb-Ramond and St{\"{u}}eckelberg Kalb-Ramond's effective theories. Finally we discuss some remarks and prospects.
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