nLab sine-Gordon equation




What is known as the sine-Gordon equation is the partial differential equation on a scalar field on 1+1-dimensional Minkowski spacetime which asserts that the value of its wave operator equals (minus) its sine.

As such the name is a pun on the Klein-Gordon equation which (also in higher spacetime dimension) has this same form except that in place of the sine there is a mass term (and possibly in addition a potential energy, gauge coupling, etc.).

The sine-Gordon equation is an integrable model which admits soliton solutions. It is dual, in some sense, to the Thirring model?.


See also:

Created on November 3, 2022 at 05:22:33. See the history of this page for a list of all contributions to it.