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Coisotropic regularization of singular Lagrangians
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We present an alternative approach to the usual treatments of singular Lagrangians. It is based on a Hamiltonian regularization scheme inspired on the coisotropic embedding of presymplectic systems. A Lagrangian regularization of a singular Lagrangian is a regular Lagrangian defined on an extended velocity phase space that reproduces the original theory when restricted to the initial configuration space. A Lagrangian regularization does not always exists, but a family of singular Lagrangians is studied for which such a regularization can be described explicitly. These regularizations turn out to be essentially unique and provide an alternative setting to quantize the corresponding physical systems. These ideas can be applied both in classical mechanics and field theories. Several examples are discussed in detail. 1995 American Institute of Physics.
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IBORT, Alberto and MARÍN SOLANO, Jesús. Coisotropic regularization of singular Lagrangians. Journal of Mathematical Physics. 1995. Vol. 36, num. 10, pags. 5522-5539. ISSN 0022-2488. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/24570