Physics:Bullough–Dodd model

Short description: Integrable 1+1 dimensional quantum field theory

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

[math]\displaystyle{ \mathcal{L}=\frac{1}{2}(\partial_\mu\varphi)^2-\frac{m_0^2}{6g^2}(2e^{g\varphi} +e^{-2g\varphi}) }[/math]

where [math]\displaystyle{ m_0\, }[/math] is a mass parameter, [math]\displaystyle{ g\, }[/math] is the coupling constant and [math]\displaystyle{ \varphi\, }[/math] 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. Bibcode: 1977RSPSA.352..481D. 
• 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. doi:10.1016/0370-2693(93)90196-o. ISSN 0370-2693. Bibcode: 1993PhLB..307...83F.