Regularization by higher derivatives and quantum correction for N = 1 supersymmetric theories

Some results of regularization by higher covariant derivatives used for investigation of the structure of quantum corrections in N = 1 supersymmetric theories are summarized in the present work. In particular, it is demonstrated that all integrals determining the Hell-Mann-Low functions in supersymm...

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Bibliographic Details
Published in:Russian physics journal 2008-05, Vol.51 (5), p.444-479
Main Authors: Pimenov, A. B., Soloshenko, A. A., Stepanyantz, K. V., Shevtsova, E. S.
Format: Article
Language:English
Subjects:
Condensed Matter Physics
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Theoretical
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Summary:Some results of regularization by higher covariant derivatives used for investigation of the structure of quantum corrections in N = 1 supersymmetric theories are summarized in the present work. In particular, it is demonstrated that all integrals determining the Hell-Mann-Low functions in supersymmetric theories are integrals of total derivatives. As a consequence, in the N = 1 supersymmetric theories there exists an identity for the Green’s functions which follows from none of the symmetry theories known thus far. The problem of obtaining the exact β-function by the methods of perturbation theory is discussed.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-008-9069-3