Gauge-invariant reformulation of theories with second-class constraints

Mitra, P. ; Rajaraman, R. (1990) Gauge-invariant reformulation of theories with second-class constraints Annals of Physics, 203 (1). pp. 157-172. ISSN 0003-4916

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000349...

Related URL: http://dx.doi.org/10.1016/0003-4916(90)90031-I

Abstract

Given a classical dynamical theory with second-class constraints, it is sometimes possible to construct another theory with first-class constraints, i.e., a gauge-invariant one, which is physically equivalent to the first theory. We identify some conditions under which this may be done, explaining the general principles and working out several examples. Field theoretic applications include the chiral Schwinger model and the non-linear sigma model. An interesting connection with the work of Faddeev and Shatashvili is pointed out.

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