Knill, Oliver (1996) Nonlinear dynamics from the Wilson Lagrangian. Journal of Physics A: Mathematical and General, 29 (23). L595-L600. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:20120208-105208873
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A nonlinear Hamiltonian dynamics is derived from the Wilson action in lattice gauge theory. Let D be a linear space of lattice Dirac operators D(a) defined by some lattice gauge field a. We consider the Lagrangian D→tr((D(a)+im)^4) on D , where m Є C is a mass parameter. Critical points of this functional are given by solutions of a nonlinear discrete wave equation which describe the time evolution of the gauge fields a. In the simplest case, the dynamical system is a cubic Henon map. In general, it is a symplectic coupled map lattice. We prove the existence of non-trivial critical points in two examples.
|Additional Information:||© 1996 Institute of Physics. Received 9 September 1996.|
|Classification Code:||PACS: 05.45.Ra, 02.30.tb, 11.15.Ha, 03.65.-w, 05.70.Jk. MSC: 81R15, 34L40, 81T13|
|Official Citation:||Nonlinear dynamics from the Wilson Lagrangian Oliver Knill 1996 J. Phys. A: Math. Gen. 29 L595|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||08 Feb 2012 19:21|
|Last Modified:||08 Feb 2012 19:21|
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