#### Date of Degree

6-2014

#### Document Type

Dissertation

#### Degree Name

Ph.D.

#### Program

Physics

#### Advisor

Peter Orland

#### Subject Categories

Elementary Particles and Fields and String Theory | Nuclear | Other Physics

#### Keywords

Bootstrap, Integrability, Large-N limit, Nonperturbative methods, Yang-Mills theory

#### Abstract

Yang Mills theory in 2+1 dimensions can be expressed as an array of coupled (1+1)-dimensional principal chiral sigma models. The SU(N) principal chiral sigma model in 1+1 dimensions is integrable, asymptotically free and has massive excitations. We calculate all the form factors and two- point correlation functions of the Noether current and energy-momentum tensor, in

't Hooft's large-N limit (some form factors can be found even at finite N). We use these new form factors to calculate physical quantities in (2+1)-dimensional Yang-Mills theory, generalizing previous SU(2) by P. Orland to SU(N). The anisotropic gauge theory is related to standard isotropic one by a Wilsonian renormalization group with ellipsoidal cutoffs in momentum. We calculate quantum corrections to the effective action of QED and QCD, as the theory flows from isotropic to anisotropic. The exact principal chiral sigma model S-matrix is used to examine the spectrum of (1+1)-dimensional massive Yang Mills theory.

#### Recommended Citation

Cortes Cubero, Axel, "Yang-Mills Theories as Deformations of Massive Integrable Models" (2014). *CUNY Academic Works.*

https://academicworks.cuny.edu/gc_etds/190

#### Included in

Elementary Particles and Fields and String Theory Commons, Nuclear Commons, Other Physics Commons