Solution of the Master Equation in Terms of the Odd Time Formulation


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A systematic way of formulating the Batalin-Vilkovisky method of quantization was obtained in terms of the ``odd time formulation. We show that in a class of gauge theories it is possible to find an ``odd time lagrangian yielding, by a Legendre transformation, an ``odd time hamiltonian which is the minimal solution of the master equation. This constitutes a very simple method of finding the minimal solution of the master equation which is usually a tedious task. To clarify the general procedure we discussed its application to Yang-Mills theory, massive (abelian) theory in Stueckelberg formalism, relativistic particle and the self-interacting antisymmetric tensor field.

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