Renormalization of the $N=1$ supersymmetric 4-dimensional nonlinear sigma model with higher derivatives
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 2, pp. 224-233
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The general action for the $N=1$ supersymmetric nonlinear sigma model with derivatives of fourth order in 4-dimensional space-time is formulated in terms of chiral $N=1$ superfields. The generalized Schwinger–DeWitt technique in flat $N=1$ superspace is used to calculate
the geometrical single-loop counterterm. Conditions on the geometry of the field manifold of the sigma model sufficient for single-loop finiteness on the mass shell are found. Multiplicatively
renormalizable sigma models of fourth order on Kählerian spaces of constant holomorphic sectional curvature are considered. The phenomenon of asymptotic freedom for theories on the complex projective spaces $CP(k)$ is found.
@article{TMF_1988_77_2_a6,
author = {A. A. Deriglazov and S. V. Ketov},
title = {Renormalization of the $N=1$ supersymmetric 4-dimensional nonlinear sigma model with higher derivatives},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {224--233},
publisher = {mathdoc},
volume = {77},
number = {2},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a6/}
}
TY - JOUR AU - A. A. Deriglazov AU - S. V. Ketov TI - Renormalization of the $N=1$ supersymmetric 4-dimensional nonlinear sigma model with higher derivatives JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 224 EP - 233 VL - 77 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a6/ LA - ru ID - TMF_1988_77_2_a6 ER -
%0 Journal Article %A A. A. Deriglazov %A S. V. Ketov %T Renormalization of the $N=1$ supersymmetric 4-dimensional nonlinear sigma model with higher derivatives %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 224-233 %V 77 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a6/ %G ru %F TMF_1988_77_2_a6
A. A. Deriglazov; S. V. Ketov. Renormalization of the $N=1$ supersymmetric 4-dimensional nonlinear sigma model with higher derivatives. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 2, pp. 224-233. http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a6/