Introducing scale symmetry
DOI: 10.1063/1.3070673
When symmetries are present the solution of almost any physical problem is simplified, because we can get at the properties of a system without completely solving all the equations that describe the system. In high‐energy physics, symmetry principles have been studied with an eye to circumventing two obstacles to the understanding of elementary particles: lack of precise knowledge about interparticle forces (with the exception of electromagnetism) and the mathematical intractability of any realistic models that propose to explain observed particle phenomena.
References
1. H. W. Kendall, W. Panofsky, Scientific American 224, June 1971, page 60.https://doi.org/SCAMAC
2. H. A. Kastrup, Ann. Physik 7, 388 (1962); https://doi.org/ANPYA2
J. Wess, Nuovo Cimento 18, 1086 (1960).https://doi.org/NUCIAD3. C. G. CallanJr, S. Coleman, R. Jackiw, Ann. Phys. (New York) 59, 42 (1970).https://doi.org/APNYA6
4. J. D. Bjorken, Phys. Rev. 179, 1547 (1969).https://doi.org/PHRVAO
5. PHYSICS TODAY 23, December 1969, page 17.https://doi.org/PHTOAD
6. S. D. Drell, D. J. Levy, T. Yan, Phys. Rev. D1, 1035 (1970).https://doi.org/PRVDAQ
7. G. Mack, Nucl. Phys. B5, 499, (1968); https://doi.org/NUPBBO
M. Gell‐Mann, Cal. Tech report no. CALT‐68‐244.8. S. L. Adler, “Perturbation Theory Anomalies” in Lectures on Elementary Particles and Quantum Field Theory, vol. 1 (S. Deser, M. Grisaru, H. Pendleton eds.), MIT Press, Cambridge, Mass. (1970);
R. Jackiw, “Field Theoretic Investigations in Current Algebra,” in Lectures on Current Algebra and Its Applications, Princeton University Press, Princeton, N.J. (in press).9. K. Wilson, Phys. Rev. D2, 1473, 1478 (1970); https://doi.org/PRVDAQ
C. G. CallanJr, Phys. Rev. D2, 1541 (1970); https://doi.org/PRVDAQ
K. Symanzik, Commun. Math. Phys. 18, 227 (1970); https://doi.org/CMPHAY
S. Coleman, R. Jackiw, Ann. Phys. (New York) 67, 552 (1971).https://doi.org/APNYA610. PHYSICS TODAY 24, February 1971, page 17.https://doi.org/PHTOAD
11. J. M. Cornwall, R. Jackiw, Phys. Rev. D4, 367 (1971); https://doi.org/PRVDAQ
H. Fritsch, M. Gell‐Mann, to be published;
D. J. Gross, S. Treiman, Phys. Rev. D4, 1059 (1971).https://doi.org/PRVDAQ
More about the Authors
Roman Jackiw. Massachusetts Institute of Technology.