Related Experiment Video
Updated: Jun 10, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Infinite Family of Integrable Sigma Models Using Auxiliary Fields
1Center for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, <a href="https://ror.org/05rrcem69">University of California</a>, Davis, California 95616, USA.
Abstract:
We introduce a class of 2D sigma models which are parametrized by a function of one variable. In addition to the physical field g, these models include an auxiliary field v_{α} which mediates interactions in a prescribed way. We prove that every theory in this family is classically integrable, in that it possesses an infinite set of conserved charges in involution, which can be constructed from a Lax representation for the equations of motion. This class includes the principal chiral model (PCM) and all deformations of the PCM by functions of the energy-momentum tensor.
Related Concept Videos
Singularity Functions for Shear
Singularity Functions for Bending Moment
Dimensionless Groups in Fluid Mechanics
Differential Form of Maxwell's Equations
Thermal Sigmatropic Reactions: Overview
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

