11 research outputs found
Towards proof of new identity for Green functions in N=1 supersymmetric electrodynamics
For the N=1 supersymmetric massless electrodynamics, regularized by higher
derivatives, we describe a method, by which one can try to prove the new
identity for the Green functions, which was proposed earlier. Using this method
we show that some contribution to the new identity are really 0.Comment: 16 pages, 1 figure, an error corrected, significant change
Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
We review the background field method for three-dimensional Yang-Mills and
Chern-Simons models in N=2 superspace. Superfield proper time (heat kernel)
techniques are developed and exact expressions of heat kernels for constant
backgrounds are presented. The background field method and heat kernel
techniques are applied for evaluating the low-energy effective actions in N=2
supersymmetric Yang-Mills and Chern-Simons models as well as in N=4 and N=8 SYM
theories.Comment: 1+30 pages, dedicated to the 60 year Jubilee of Professor D.I.
Kazakov; references added. arXiv admin note: substantial text overlap with
arXiv:1010.496
Finite Unified Theories and the Higgs boson
All-loop Finite Unified Theories (FUTs) are very interesting N = 1
supersymmetric Grand Unified Theories (GUTs) realising an old field theory
dream, and moreover have a remarkable predictive power due to the required
reduction of couplings. Based on this theoretical framework phenomenologically
consistent FUTs have been constructed. Here we review two FUT models based on
the SU(5) gauge group, which can be seen as special, restricted and thus very
predictive versions of the MSSM. We show that from the requirement of correct
prediction of quark masses and other experimental constraints a light
Higgs-boson mass in the range M_h ~ 121 - 126 GeV is predicted, in striking
agreement with recent experimental results from ATLAS and CMS. The model
furthermore naturally predicts a relatively heavy spectrum with colored
supersymmetric particles above ~ 1.5 TeV in agreement with the non-observation
of those particles at the LHC.Comment: 13 pages, 5 figures. Proceedings devoted to the Scientific and Human
Legacy of Julius Wess, initiated by the JW2011 Workshop, August 27 - 28,
2011, Donji Milanovac, Serbi