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Grassi, Pietro A.; Hurth, Tobias; Quadri, Andrea, E-mail: quadri@mppmu.mpg.de2003
AbstractAbstract
[en] The implementation of the Background Field Method (BFM) for quantum field theories is analysed within the Batalin-Vilkovisky (BV) formalism. We provide a systematic way of constructing general splittings of the fields into classical and quantum parts, such that the background transformations of the quantum fields are linear in the quantum variables. This leads to linear Ward-Takahashi identities for the background invariance and to great simplifications in multiloop computations. In addition, the gauge fixing is obtained by means of (anti)canonical transformations generated by the gauge-fixing fermion. Within this framework we derive the BFM for the N = 2 super-Yang-Mills theory in the Wess-Zumino gauge viewed as the twisted version of Donaldson-Witten topological gauge theory. We obtain the background transformations for the full BRST differential of N = 2 super-Yang-Mills (including gauge transformations, SUSY transformations and translations). The BFM permits all observables of the supersymmetric theory to be identified easily by computing the equivariant cohomology of the topological theory. These results should be regarded as a step towards the construction of a super BFM for the Minimal Supersymmetric Standard Model. (author)
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Source
Available online at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Journal of High Energy Physics; ISSN 1126-6708;
; v. 07(2003); p. vp

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