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Front-Form Hamiltonian, Path Integral, and BRST Formulations of the Nonlinear Sigma Model

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Abstract

The nonlinear sigma model in one-space one-time dimension is considered on the light-front. The front-form theory is seen to possess a set of three first-class constraints and consequently it possesses a local vector gauge symmetry. This is in contrast to the usual instant-form theory, which is well known to be a gauge noninvariant theory possessing a set of four second-class constraints. The front-form Hamiltonian, path integral, and BRST formulations of this theory are investigated under some specific gauge choices.

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Authors and Affiliations

  1. Fachbereich Physik der Universitaet Kaiserslautern, D-67653, Kaiserslautern, Germany

    U. Kulshreshtha & D. S. Kulshreshtha

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  1. U. Kulshreshtha
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  2. D. S. Kulshreshtha
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Correspondence to U. Kulshreshtha.

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Kulshreshtha, U., Kulshreshtha, D.S. Front-Form Hamiltonian, Path Integral, and BRST Formulations of the Nonlinear Sigma Model. International Journal of Theoretical Physics 41, 1941–1956 (2002). https://doi.org/10.1023/A:1021009008129

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