Perturbation Calculations for the Scalar Multiplet in a Superfield Formulation

Fujikawa, Kazuo; Lang, Wolfdieter

doi:10.1016/0550-3213(75)90525-8

Perturbation Calculations for the Scalar Multiplet in a Superfield Formulation

Kazuo Fujikawa
(
- Karlsruhe U. and
- DESY
)
,
Wolfdieter Lang
(
- Karlsruhe U.
)

Sep, 1974

16 pages

Published in:

Nucl.Phys.B 88 (1975) 61-76

Published: 1975

DOI:

10.1016/0550-3213(75)90525-8

Report number:

Print-74-1459-Rev. (KARLSRUHE),
PRINT-74-1459 (KARLSRUHE)

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Abstract: (Elsevier)

Based on the superfield propagators for the scalar multiplet, we investigate the occurence of divergence cancellations in supersymmetric models. This cancellation mechanism is governed by the Ward identity which has an integral form in the present formulation. The power counting rules for the actual divergence of diagrams in the models with a φ 3 and a φ 4 self-interaction are given. Finally we present a systematic treatment of the φ 4 model up to the two-loop level. The structure of the necessary counter terms is specified and the appearance of negative norm states is indicated.

References(4)

Figures(0)

Supergauge Transformations in Four-Dimensions

J. Wess
(
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

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•
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A Lagrangian Model Invariant Under Supergauge Transformations

J. Wess
(
- Karlsruhe U.
)
,
B. Zumino
(
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)

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•
DOI:
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Supergauge Transformations

Abdus Salam
(
- ICTP, Trieste and
- Imperial Coll., London
)
,
J.A. Strathdee
(
- ICTP, Trieste
)

- Nucl.Phys.B 76 (1974) 477-482,
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•
DOI:
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Broken Supergauge Symmetry and Renormalization

J. Iliopoulos
(
- Orsay, LPT
)
,
B. Zumino
(
- CERN
)

- Nucl.Phys.B 76 (1974) 310,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 222-244. (NUCL. PHYS. B76 (1974) 310-332) AND CERN GENEVA - TH. 1834 (74,REC.APR.) 32 P. (SEE BOOK INDEX)
•
DOI:
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