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

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

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

See also

• List of integrable models

References

• Dodd, R. K.; Bullough, R. K. (4 February 1977). "Polynomial Conserved Densities for the Sine-Gordon Equations". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society. 352 (1671): 481–503. doi:10.1098/rspa.1977.0012. ISSN 1364-5021.
• Fring, A.; Mussardo, G.; Simonetti, P. (1993). "Form factors of the elementary field in the Bullough-Dodd model". Physics Letters B. Elsevier BV. 307 (1–2): 83–90. arXiv:hep-th/9303108. doi:10.1016/0370-2693(93)90196-o. ISSN 0370-2693.