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
J. Goldstone and R. Jackiw, Phys. Rev. D11, 1486 (1975). See also R. Rajaraman, Solitons and Instantons, North-Holland 1982 and references therein.
See e.g. R. Rajaraman, Phys. Rep. 21, 227 (1975), especially Chap. 3.2.
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.
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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