Lightfront Hamiltonian Structures for the Nonlinear Sigma Model
نویسنده
چکیده
We derive the Dirac brackets for the O(N) nonlinear sigma model in the lightfront description with and without the constraint. We bring out various subtleties that arise including the fact that anti-periodic boundary condition seems to be preferred.
منابع مشابه
Sensitivity Analysis of Fiber-Reinforced Lamina Micro-Electro-Mechanical Switches with Nonlinear Vibration Using a Higher Order Hamiltonian Approach
In this paper, the nonlinear free vibration of fiber-reinforced lamina micro-switches is investigated, and a sensitivity analysis (SA) is given. The switches are modeled as solid rectangular beams consisting of an isotropic matrix with transversely and longitudinally isotropic reinforcements, incorporating a higher order Hamiltonian approach. An SA of the proposed micro-switch is presented by c...
متن کاملNonlinear Sigma Models and Symplectic Geometry on Loop Spaces of (Pseudo)Riemannian Manifolds
In this paper we consider symplectic and Hamiltonian structures of systems generated by actions of sigma-model type and show that these systems are naturally connected with specific symplectic geometry on loop spaces of Riemannian and pseudoRiemannian manifolds. † On leave of absence from VNIIFTRI, Mendeleevo, Moscow Region 141570, Russia 1
متن کاملThe Hamiltonian approach and phase space path integration for nonlinear sigma models with and without fermions
Instead of imposing the Schrödinger equation to obtain the configuration space propagator 〈x, t2|y, t1〉 for a quantum mechanical nonlinear sigma model, we directly evaluate the phase space propagator 〈x| exp (
متن کاملA Lax Equation for the Non-Linear Sigma Model
We propose a Lax equation for the non-linear sigma model which leads directly to the conserved local charges of the system. We show that the system has two infinite sets of such conserved charges following from the Lax equation, much like dispersionless systems. We show that the system has two Hamiltonian structures which are compatible so that it is truly a bi-Hamiltonian system. However, the ...
متن کاملHamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
This paper is devoted to the study of the Hamiltonian formulation of non-linear sigma models on supercoset targets. We calculate the Poisson brackets of left-invariant currents. Then we introduce the Hamiltonian of the system and determine the equations of motion for left-invariant currents. We also determine the charge corresponding to the invariance of the action under global left multiplicat...
متن کامل