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Symmetry Breaking

Part of the book series: Lecture Notes in Physics ((LNP,volume 732))

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Abstract

The model describes the simplest non-linear field theory and it can be regarded as a prototype of field theories in one space dimension (s = 1). The model can also be interpreted as a non-linear generalization of the wave equation. The interest of the model is that, even at the classical level, it has stable solutions with a possible particle interpretation36.

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References

  1. J. Goldstone and R. Jackiw, Phys. Rev. D11, 1486 (1975). See also R. Rajaraman, Solitons and Instantons, North-Holland 1982 and references therein.

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  2. See e.g. R. Rajaraman, Phys. Rep. 21, 227 (1975), especially Chap. 3.2.

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  3. R.F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D10, 4130 (1974); J. Goldstone and R. Jackiw, Phys. Rev. D11, 1486 (1975); for a rich collection of important papers see C. Rebbi and G. Soliani, Solitons and Particles, World Scientific 1984.

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  4. See A. Barone, F. Esposito and C.J. Magee, Theory and Applications of the Sine-Gordon Equation, in Riv. Nuovo Cim. 1, 227 (1971); A.C. Scott, F.Y. Chiu, and D.W. Mclaughlin, Proc.I.E.E.E. 61, 1443 (1973); G.B. Whitham, Linear and Non-Linear Waves, J. Wiley 1974; S. Coleman, Phys. Rev. D11, 2088 (1975); S. Coleman, Aspects of Symmetry, Cambridge Univ. Press 1985; J. Fröhlich, in Invariant Wave Equations, G. Velo and A.S. Wightman eds., Springer-Verlag

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Strocchi, F. (2008). Examples. In: Symmetry Breaking. Lecture Notes in Physics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73593-9_8

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