The Bullough–Dodd model is an
integrable model
In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first i ...
in 1+1-dimensional quantum field theory introduced by
Robin Bullough and
Roger Dodd. Its
Lagrangian density
Lagrangian field theory is a formalism in classical field theory. It is the field-theoretic analogue of Lagrangian mechanics. Lagrangian mechanics is used to analyze the motion of a system of discrete particles each with a finite number of degrees ...
is
:
where
is a mass parameter,
is the
coupling constant
In physics, a coupling constant or gauge coupling parameter (or, more simply, a coupling), is a number that determines the strength of the force exerted in an interaction. Originally, the coupling constant related the force acting between tw ...
and
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
This is a list of integrable models as well as classes of integrable models in physics.
Integrable models in 1+1 dimensions
In classical and quantum field theory:
*free boson
*free fermion
* sine-Gordon model
* Thirring model
* sinh-Gordon mo ...
References
*
*
Quantum field theory
Exactly solvable models
Integrable systems
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