Bullough–Dodd model

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

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

where $m_{0}\,$ is a mass parameter, $g\,$ is the coupling constant and $\varphi \,$ 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.

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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