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The Bullough–Dodd model is an integrable model in 1+1-dimensional quantum field theory. Its Lagrangian density is

${\mathcal {L}}={\frac {1}{2}}(\partial _{\mu }\phi )^{2}-{\frac {m_{0}^{2}}{6g^{2}}}(2e^{g\phi }+e^{-2g\phi })$

where $m_{0}\,$ is a mass parameter, $g\,$ is the coupling constant and $\phi \,$ is a real scalar field.

The Bullough–Dodd model belongs to the class of Affine Toda Field Theories.

The spectrum of the model consists of a single massive particle.

See also

• List of integrable models

References

• R.K. Dodd, R.K. Bullough, Proc.Roy.Soc.Lond. A352, 481, 1977
• A. Fring, G. Mussardo, P. Simonetti, Phys.Lett. B307, 83-90, 1993, arXiv: hep-th/9303108

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