PIRSA:13120068

Integrability (and Near Integrability) in Matrix-valued Field Theories

APA

Cortes Cubero, A. (2013). Integrability (and Near Integrability) in Matrix-valued Field Theories. Perimeter Institute. https://pirsa.org/13120068

MLA

Cortes Cubero, Axel. Integrability (and Near Integrability) in Matrix-valued Field Theories. Perimeter Institute, Dec. 13, 2013, https://pirsa.org/13120068

BibTex

          @misc{ pirsa_13120068,
            doi = {10.48660/13120068},
            url = {https://pirsa.org/13120068},
            author = {Cortes Cubero, Axel},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Integrability (and Near Integrability) in Matrix-valued Field Theories},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {dec},
            note = {PIRSA:13120068 see, \url{https://pirsa.org}}
          }
          

Axel Cortes Cubero City University of New York (CUNY) - Department of Physics

Abstract

The principal chiral sigma model (PCSM) in 1+1 dimensions is asymptotically free and has as SU(N)-valued field with massive excitations. We have found all the exact form factors and two-point function of the Noether-current operators at large N using the integrable bootstrap program. At finite N, only the first non-trivial form factors are found, which give a good long distance approximation for the two-point function. We show how to use these new exact results to study non-integrable deformations. One example is the PCSM coupled to a Yang-Mills field. One can approximate the spectrum of the meson-like bound states using our form factors. We also examine an anisotropic version of (2+1)-dimensional Yang-Mills theory, which can be interpreted as an array of coupled PCSM’s.