On Local Variational Differential Operators in Field Theory

Details On Local Variational Differential Operators in Field Theory On Local Variational Differential Operators in Field Theory

1999-04-30

arxiv.org/abs/hep-th/9904215v1

Theor.Math.Phys. 120 (1999) 1026-1044; Teor.Mat.Fiz. 120 (1999) 256-276

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX

Scientific paper

We propose and develop a new calculus for local variational differential operators. The main difference of the new formalism with the canonical differential calculus is that the image of higher order operators on local functionals does not contain indefinite quantities like $\delta(0)$. We apply this formalism to BV formulation of general gauge field theory and to its Sp(2)-symmetric generalization. Its relation to a quasiclassical expansion is also discussed.

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