Nonlinear sigma models are studied in n space dimensions with values in a coset space G/H as infinite dimensional Hamiltonian systems. An "intrinsic" formulation is discussed in terms of coordinates on G/H, an "embedded" formulation in terms of fields satisfying a constraint and a "lifted" formulation in terms of fields having values in G/H, where H is a normal subgroup of H. The coupling of the sigma model to Yang-Mills fields with structure group G is then considered, and it is shown that this system is equivalent to a massive Yang-Mills theory

Hamiltonian methods for nonlinear sigma models / Pak, Nk; Percacci, Roberto. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 30:12(1989), pp. 2951-2962. [10.1063/1.528483]

Hamiltonian methods for nonlinear sigma models

Percacci, Roberto
1989-01-01

Abstract

Nonlinear sigma models are studied in n space dimensions with values in a coset space G/H as infinite dimensional Hamiltonian systems. An "intrinsic" formulation is discussed in terms of coordinates on G/H, an "embedded" formulation in terms of fields satisfying a constraint and a "lifted" formulation in terms of fields having values in G/H, where H is a normal subgroup of H. The coupling of the sigma model to Yang-Mills fields with structure group G is then considered, and it is shown that this system is equivalent to a massive Yang-Mills theory
1989
30
12
2951
2962
Pak, Nk; Percacci, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12119
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