From massive self-dual p-forms towards gauge p-forms

Abstract

Abstract:Massive self-dual -forms are quantized through the construction of an equivalent first-class system and then quantizing the resulting first-class system. The construction of the equivalent first-class system is achieved using the gauge unfixing and constraints conversion BF methods. The Hamiltonian path integral of the first-class system takes a manifestly Lorentz-covariant form.

A first-class approach of higher derivative Maxwell–Chern–Simons–Proca model

“…The quantization of a second-class constrained system can be achieved by the reformulation of the original theory as a first-class one and then quantizing the resulting first-class theory. This quantization procedure was applied to various models [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] using a variety of methods to replace the original second-class model to an equivalent model in which only first-class constraints appear. The conversion of the original second-class system into an equivalent gauge invariant theory can be accomplished without enlarging the phase space, starting from the possibility of interpreting a second-class constraints set as resulting from a gauge-fixing procedure of a first-class constraints one and "undo" gaugefixing [19][20][21][22][23].…”