Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-05-25
JHEP0307:008,2003
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, Latex, JHEP3.cls
Scientific paper
10.1088/1126-6708/2003/07/008
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.
Grassi Pietro Antonio
Hurth Tobias
Quadri Andrea
No associations
LandOfFree
Super Background Field Method for N=2 SYM does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Super Background Field Method for N=2 SYM, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Super Background Field Method for N=2 SYM will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-713823