84 research outputs found
New form of the NSVZ relation at the two-loop level
Recently the exact NSVZ -function was rewritten in the form of a
relation between the -function and the anomalous dimensions of the
quantum gauge superfield, of the Faddeev--Popov ghosts, and of the matter
superfields. It was also suggested that this form of the NSVZ equation follows
from an underlying equation relating two-point Green functions of the theory.
Here we demonstrate that this relation is satisfied at the two-loop level for
the non-Abelian supersymmetric gauge theories in the case of using
the simplest (BRST non-invariant) version of the higher covariant derivative
regularization. Consequently, the integrals giving the two-loop
-function can be reduced to the one-loop integrals giving the anomalous
dimensions of the quantum gauge superfield, of the Faddeev--Popov ghosts, and
of the matter superfields.Comment: 12 pages, 3 figures, the version accepted for publication in Physics
Letters
Exact renormalization of the photino mass in softly broken SQED with flavors regularized by higher derivatives
We consider the softly broken supersymmetric electrodynamics,
regularized by higher derivatives. For this theory we demonstrate that the
renormalization of the photino mass is determined by integrals of double total
derivatives in the momentum space in all orders. Consequently, it is possible
to derive the NSVZ-like exact relation between the photino mass anomalous
dimension and the anomalous dimension of the matter superfields in the rigid
theory by direct summation of supergraphs. It is important that both these
renormalization group functions are defined in terms of the bare coupling
constant, so that the considered NSVZ-like relation is valid independently of
the subtraction scheme in the case of using the higher derivative
regularization. The factorization of integrals defining the photino mass
renormalization into integrals of double total derivatives is verified by an
explicit two-loop calculation.Comment: 32 pages, 8 figures; the version accepted for publication in JHE
Universal invariant renormalization of supersymmetric Yang-Mills theory
A manifestly invariant renormalization scheme of N=1 nonabelian
supersymmetric gauge theories is proposed.Comment: LaTeX, 14 pages, 2 eps figure
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