Bullough–Dodd model explained

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

l{L}= (1)/(2) (\partial ^{2- (m ^{2} _{0})/(6 g ^{2})} _{\mu\varphi)} ( 2 e ^{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.

See also

• List of integrable models

References

• Dodd . R. K. . Bullough . R. K. . Polynomial Conserved Densities for the Sine-Gordon Equations . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences . The Royal Society . 352 . 1671 . 4 February 1977 . 1364-5021 . 10.1098/rspa.1977.0012 . 481–503. 1977RSPSA.352..481D . 123071322 .
• Fring . A. . Mussardo . G. . Simonetti . P. . Form factors of the elementary field in the Bullough-Dodd model . Physics Letters B . Elsevier BV . 307 . 1–2 . 1993 . 0370-2693 . 10.1016/0370-2693(93)90196-o . 83–90. hep-th/9303108. 1993PhLB..307...83F . 16396002 .