Hamiltonian dynamics of 5D Kalb-Ramond theories with a compact dimension

摘要

A detailed Hamiltonian analysis for a five-dimensional Kalb-Ramond, massiveKalb-Ramond and St{\"{u}}eckelberg Kalb-Ramond theories with a compactdimension is performed. We develop a complete constraint program, then wequantize the theory by constructing the Dirac brackets. From the gaugetransformations of the theories, we fix a particular gauge and we findpseudo-Goldstone bosons in Kalb-Ramond and St{\"{u}}eckelberg Kalb-Ramond'seffective theories. Finally we discuss some remarks and prospects.