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          Institute: MPI für Physik     Collection: MPI für Physik     Display Documents



ID: 543543.0, MPI für Physik / MPI für Physik
Super Background Field Method for N=2 SYM
Authors:Grassi, P. A.; Hurth, T.; Quadri, A.
Date of Publication (YYYY-MM-DD):2003
Title of Journal:Journal of High Energy Physics
Journal Abbrev.:JHEP
Issue / Number:0307
Start Page:008
Audience:Not Specified
Intended Educational Use:No
Abstract / Description: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.
Classification / Thesaurus:Theoretical Physics
Comment of the Author/Creator:34 pages, Latex, JHEP3.cls
External Publication Status:published
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2002-164
URL:http://www.slac.stanford.edu/spires/find/hep/www?r...
URL:http://arXiv.org/abs/hep-th/0305220
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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