Supersymmetry and Nonperturbative beta Functions

Seiberg, Nathan

doi:10.1016/0370-2693(88)91265-8

Supersymmetry and Nonperturbative beta Functions

Nathan Seiberg
(
- Princeton, Inst. Advanced Study
)

Mar 1, 1988

6 pages

Published in:

Phys.Lett.B 206 (1988) 75-80

Published: May 12, 1988

DOI:

10.1016/0370-2693(88)91265-8

Report number:

IASSNS-HEP-88-5

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Abstract: (Elsevier)

We discuss N =2 supersymmetric gauge theories in four dimensions. Several non-renormalization theorems are derived. In particular, we give a simple proof that the perturbative beta function is given by the one-loop result and we clarify the use of the “multiplet of anomalies” in this theor. This non-renormalization theorem is violated by non-perturbative effects - instantons contribute to the beta function for the gauge coupling, g , and to the beta function for the vacuum angle, Θ . We also derive a non-renormalization theorem to all perturbative orders around the instanton. N =4 supersymmetric gauge theories are shown to be exactly finite.

GAUGE FIELD THEORY: YANG-MILLS
SUPERSYMMETRY: SUPERFIELD
RENORMALIZATION GROUP: BETA FUNCTION
EFFECT: INSTANTON
EFFECT: NONPERTURBATIVE
FIELD THEORY: EFFECTIVE ACTION
FIELD THEORY: FINITE

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