Bullough–Dodd model

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

{\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

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. 352 (1671). The Royal Society: 481–503. Bibcode:1977RSPSA.352..481D. doi:10.1098/rspa.1977.0012. ISSN 1364-5021. S2CID 123071322.
Fring, A.; Mussardo, G.; Simonetti, P. (1993). "Form factors of the elementary field in the Bullough-Dodd model". Physics Letters B. 307 (1–2). Elsevier BV: 83–90. arXiv:hep-th/9303108. Bibcode:1993PhLB..307...83F. doi:10.1016/0370-2693(93)90196-o. ISSN 0370-2693. S2CID 16396002.

Quantum field theories

Theories

Algebraic QFT
Axiomatic QFT
Conformal field theory
Lattice field theory
Noncommutative QFT
Gauge theory
QFT in curved spacetime
String theory
Supergravity
Thermal QFT
Topological QFT
Two-dimensional conformal field theory

Models

Regular	Born–Infeld Euler–Heisenberg Ginzburg–Landau Non-linear sigma Proca Quantum electrodynamics Quantum chromodynamics Quartic interaction Scalar electrodynamics Scalar chromodynamics Soler Yang–Mills Yang–Mills–Higgs Yukawa
Low dimensional	2D Yang–Mills Bullough–Dodd Gross–Neveu Schwinger Sine-Gordon Thirring Thirring–Wess Toda
Conformal	2D free massless scalar Liouville Minimal Polyakov Wess–Zumino–Witten
Supersymmetric	Wess–Zumino N = 1 super Yang–Mills Seiberg–Witten Super QCD
Superconformal	6D (2,0) ABJM N = 4 super Yang–Mills
Supergravity	Higher dimensional N = 8 Pure 4D N = 1
Topological	BF Chern–Simons
Particle theory	Chiral Fermi MSSM Nambu–Jona-Lasinio NMSSM Standard Model Stueckelberg