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Zero Value for the Three-LoopβFunction inN=4Supersymmetric Yang-Mills Theory
Abstract
This Letter describes a calculation using superfield techniques, showing that the $\ensuremath{\beta}$ function is zero to three loops in $N=4$ supersymmetric Yang-Mills theory. This result gives further indication that the theory is likely to be finite and conformally invariant order by order in perturbation theory.
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Citations
Cited by
Schwarz, J. H. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90087-4 · Cited by 1,115
Light-cone superspace and the ultraviolet finiteness of the N=4 model
Mandelstam, S. (1983) · Nuclear Physics B · doi:10.1016/0550-3213(83)90179-7 · Cited by 872
Surface terms as counterterms in the AdS-CFT correspondence
Emparan, R., Johnson, C. V., & Myers, R. C. (1999) · Physical Review D · doi:10.1103/physrevd.60.104001 · Cited by 703
Gauge/String Duality, Hot QCD and Heavy Ion Collisions
Casalderrey-Solana, J., Liu, H., Mateos, D., Rajagopal, K., & Wiedemann, U. A. (2014) · Cambridge University Press eBooks · doi:10.1017/cbo9781139136747 · Cited by 664
Geometrical structure and ultraviolet finiteness in the supersymmetric ?-model
Alvarez-Gaume, L., & Freedman, D. Z. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208280 · Cited by 622
Metadata
- Authors
- Grisaru, M., Roček, M., & Siegel, W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1980-09-29
- Volume
- 45
- Issue
- 13
- Pages
- 1063-1066
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2042824312
- Cited by
- 176
- References
- 0
- FWCI
- 19.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Zero Value for the Three-LoopβFunction inN=4Supersymmetric Yang-Mills Theory. https://app.cochat.ai/papers/10.1103/physrevlett.45.1063
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- Grisaru, M., Roček, M., & Siegel, W. (1980). Zero Value for the Three-LoopβFunction inN=4Supersymmetric Yang-Mills Theory. Physical Review Letters. https://doi.org/10.1103/physrevlett.45.1063
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
