Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-16
Int. J. Mod. Phys. A, Vol. 18, No. 5, 755-766 (2003)
Physics
High Energy Physics
High Energy Physics - Theory
Revtex version, 17 pages, substantial changes
Scientific paper
10.1142/S0217751X03013867
In this work we derive the Hamiltonian formalism of the O(N) non-linear sigma model in its original version as a second-class constrained field theory and then as a first-class constrained field theory. We treat the model as a second-class constrained field theory by two different methods: the unconstrained and the Dirac second-class formalisms. We show that the Hamiltonians for all these versions of the model are equivalent. Then, for a particular factor-ordering choice, we write the functional Schrodinger equation for each derived Hamiltonian. We show that they are all identical which justifies our factor-ordering choice and opens the way for a future quantization of the model via the functional Schrodinger representation.
Deriglazov Alexei A.
Oliveira Wilson
Oliveira-Neto G.
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