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SIGMA 2 (2006), 002, 8 pages math-ph/0601002
https://doi.org/10.3842/SIGMA.2006.002
On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory
Gorazd Cvetic a, Igor Kondrashuk a, b and Ivan Schmidt a
a) Departamento de Física, Universidad Técnica Federico Santa María,
Avenida España 1680, Casilla 110-V, Valparaiso, Chile
b) Departamento de Ciencias Basicas, Universidad del Bio-Bio,
Campus Fernando May, Casilla 447, Avenida Andreas Bello, Chillan, Chile
Received October 30, 2005, in final form January 01, 2006; Published online January 09, 2006
Abstract
On the basis of the general considerations such as
R-operation and Slavnov-Taylor identity we show that the
effective action, being understood as Legendre transform of the
logarithm of the path integral, possesses particular structure in
N = 4 supersymmetric Yang-Mills theory for kernels of the
effective action expressed in terms of the dressed effective
fields. These dressed effective fields have been introduced in our
previous papers as actual variables of the effective action. The
concept of dressed effective fields naturally appears in the
framework of solution to Slavnov-Taylor identity. The
particularity of the structure is independence of these kernels on
the ultraviolet regularization scale Λ. These kernels are
functions of mutual spacetime distances and of the gauge coupling.
The fact that β function in this theory vanishes is used
significantly.
Key words:
R-operation; gauge symmetry; N = 4 supersymmetry; Slavnov-Taylor identity.
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