Ch. I. Introduction --;ch. II. Symmetries from non-relativistic physics --;ch. III. Symmetries from the standard model --;ch. IV. Beyond the standard model --;ch. V. The CPT theorem --;ch. VI. The fundamental symmetries --;ch. VII. Conclusion --;Reprinted papers. 1. The role and value of the symmetry principles and Einstein's contribution to their recognition / E. Wigner --;2. Einstein and the role of symmetry in modern physics / L. Radicati --;3. Conceptual foundations of the unified theory of weak and electromagnetic interactions / S. Weinberg --;4. Zur Theone des Wasserstoffatoms / V. Fock --;5. On the problem of degeneracy in quantum mechanics / J. M. Jauch and E. L. Hill --;6. On the consequences of the symmetry of the nuclear Hamiltonian on the spectroscopy of nuclei / E. Wigner --;7. Spin and unitary spin independence of strong interactions / F. Giirsey and L. A. Radicati --;8. Non-abelian gauge theories of the strong interactions / S. Weinberg --;9. Constraints imposed by CP conservation in the presence of pseudoparticles / R. D. Peccei and H. R. Quinn --;10. The problem of mass --;festschrift in honour of I. I. Rabi / S. Weinberg --;11. Statistical Analysis of Quark and Lepton Masses / C. D. Froggatt and H. B. Nielsen --;12. Baryon- and lepton-nonconserving processes / S. Weinberg --;13. Natural conservation laws for neutral currents / S. Glashow and S. Weinberg --;14. CP violation in the renormalizable theory of weak interactions / M. Kobayashi and T. Maskawa --;15. Unity of all elementary-particle forces / H. Georgi and S. Glashow --;16. Hierarchy of interactions in unified gauge theories / H. Georgi, H. R. Quinn and S. Weinberg --;17. A 1/n expandable series of non-linear [symbol] models with instantons / A. D'Adda, M. Liischer and P. Di Vecchia --;18. The SO (8) supergravity / E. Cremmer and B. Julia --;19.Composite vector mesons and string models / S. Mandelstam --;20. Search for a realistic Kaluza-Klein theory / E. Witten --;21. Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory / M. B. Green and J. H. Schwarz --;22. Heterotic string / D. J. Gross, J. A. Harvey, E. Martinec and R. Rohm --;23. Proof of the TCP Theorem / G. Liiders --;24. Lorentz invariance as a low energy phenomenon / S. Chadha and H. B. Nielsen --;25. [Symbol]-function in a non-covariant Yang-Mills theory / H. B. Nielsen and M. Ninomiya --;26. Dynamical stability of local gauge symmetry: creation of light from chaos / D. Foerster, H. B. Nielsen and M. Ninomiya --;27. The infrared-ultraviolet connection / M. Veltman --;28. Infrared stability or anti-grandunincation / J. Iliopoulos, D. V. Nanopoulos and T. N. Tomaras --;29. On the infra-red stability of gauge theories / I. Antoniadis, J. Iliopoulos and T. Tomaras --;30. Dual strings --;Section 6. Catastrophe theory programme / H. B. Nielsen.
SUMMARY OR ABSTRACT
Text of Note
The development in our understanding of symmetry principles is reviewed. Many symmetries, such as charge conjugation, parity and strangeness, are no longer considered as fundamental but as natural consequences of a gauge field theory of strong and electromagnetic interactions. Other symmetries arise naturally from physical models in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries - even Lorentz invariance and gauge invariance - without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is reprinted.