Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
30 (1989), S. 2951-2962
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528483
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