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The effective action for superfield Lagrangian quantization in reducible hypergauges

  • Elementary Particle Physics and Field Theory
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Abstract

The rules of local superfield Lagrangian quantization in reducible non-Abelian hypergauge functions are formulated for an arbitrary gauge theory. The generating functionals of standard and vertex Green’s functions which depend on the Grassmann variable η via super(anti)fields and sources are constructed. The difference between the local quantum and the gauge fixing action determines an almost Hamiltonian system such that translations with respect to η along the solutions of this system define the superfield BRST transformations. The Ward identities are derived and the gauge independence of the S-matrix is proved.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 59′66, October, 2004.

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Reshetnyak, A.A. The effective action for superfield Lagrangian quantization in reducible hypergauges. Russ Phys J 47, 1026–1036 (2004). https://doi.org/10.1007/s11182-005-0017-1

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  • DOI: https://doi.org/10.1007/s11182-005-0017-1

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