The Dynamics of Classical Chiral $QCD_{2}$ Currents

Details The Dynamics of Classical Chiral $QCD_{2}$ Currents The Dynamics of Classical Chiral $QCD_{2}$ Currents

1997-08-14

arxiv.org/abs/hep-th/9708080v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, uses harvmac

Scientific paper

In this paper the dynamics of the classical chiral $QCD_{2}$ currents is studied. We describe how the dynamics of the theory can be summarized in an equation of the Lax form, thereby demonstrating the existence of an infinite set of conserved quantities. Next, the $r$ matrix of a fundamental Poisson relation is obtained and used to demonstrate that the conserved charges Poisson commute. An underlying diffeomorphism symmetry of the equations of motion which is not a symmetry of the action is used to provide a geometric interpretation for the case of gauge group SU(2). This enables us to show that the solutions to the classical equations of motion can be identified with a large class of curves, to demonstrate an auto-B\"acklund transformation and to demonstrate a non linear superposition principle. A link between the spectral problem for $QCD_{2}$ and the solution to the closed curve problem is also demonstrated. We then go on to provide a systematic inverse scattering treatment. This formalism is used to obtain the reflectionless single boundstate eigenvalue soliton solution.

Affiliated with

Also associated with

No associations

Rating

The Dynamics of Classical Chiral $QCD_{2}$ Currents does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Dynamics of Classical Chiral $QCD_{2}$ Currents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dynamics of Classical Chiral $QCD_{2}$ Currents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309343