Khare, Avinash
(1979)
*Static finite energy solutions of a classical field theory with positive mass-square*
Letters in Mathematical Physics, 3
(6).
pp. 475-480.
ISSN 0377-9017

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Official URL: http://www.springerlink.com/content/d410009pt15u25...

Related URL: http://dx.doi.org/10.1007/BF00401928

## Abstract

Static finite energy solutions of the field theory described by L=½∂_{μ}φ∂_{μ}φ-(m^{2}/2)φ^{2}(1-λφ^{2}/4m^{2}))^{2} are obtained. Some of the interesting features of this model are (1) the mass-square here is positive unlike in the λφ^{4} Higg's model, (2) the potential has three global minimas, (3) the spectrum is bounded from below unlike in the λφ^{4} theory with λ<0, (4) there are two kink and two antikink solutions, (5) unlike sine-Gordon and λφ^{4} models here there are two particles with masses m and 2m. Nontopological finite energy solutions have also been obtained for gf 6 field theory with g<3λ^{2}/16m^{2}.

Item Type: | Article |
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Source: | Copyright of this article belongs to Springer. |

ID Code: | 82072 |

Deposited On: | 09 Feb 2012 09:47 |

Last Modified: | 09 Feb 2012 09:47 |

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