Introduction to gauge theory

Introduction to Transverse Lattice Gauge Theory

I review a new treatment of an old idea for light-front quantization of lattice gauge theories and give new results from some illustrative calculations: [I] Transverse Lattice Gauge Theory; [II] Pure Glue; [III] Heavy Sources and Winding Modes; [IV] An Example – Large-N QCD in 2 + 1 Dimensions. I TRANSVERSE LATTICE GAUGE THEORY A Light-Front Co-ordinates In the constituent quark model, hadrons ...

Introduction to N = 2 Gauge Theory

The goal of this seminar is to understand the Nekrasov partition function introduced by Nekrasov in 2003 [Nek03]. This is a generating function for correlation functions in an N = 2 supersymmetric gauge theory, so my goal today is to explain what N = 2 gauge theory is and why we might find it interesting. We begin with the latter question, why is this interesting? There are two intertwined answ...

Introduction to N = 2 Gauge Theory Chris Elliott

The goal of this seminar is to understand the Nekrasov partition function introduced by Nekrasov in 2003 [Nek03]. This is a generating function for correlation functions in an N = 2 supersymmetric gauge theory, so my goal today is to explain what N = 2 gauge theory is and why we might find it interesting. We begin with the latter question, why is this interesting? There are two intertwined answ...

Introduction to Gauge Theories

This report is divided into three parts. In the first part, we describe some nonlinear equations of classical physics. Certain of these equations, for example the Yang-Mills equations, have a geometrical significance. Their solutions are harmonic connection forms on a principal bundle; the structure group of the bundle is called the "gauge group" in physics. The purely mathematical questions co...

Introduction to Gauge/Gravity Duality