## Computer Science

# Complete integration of U(N) lattice gauge theory in a large-N limit

## Document Type

Article

## Abstract

We present an approximation for the integration over a link in the Feynman path integral for U(N) lattice quantum chromodynamics (QCD). The approximation is valid when N and g2N is fixed to a large value. The result is such that subsequent link integrations have the same form, allowing a complete evaluation of the path integral in any dimension over the entire lattice by repeated application of the approximation. Our technique can be applied to a variety of problems. As sources for the Yang-Mills field we use quarks traveling on world lines. We present a complete action formulation of Dirac particles on world lines with spin, color, flavor, and mass interacting with the gluon field. Evaluating the meson propagator in such a theory in our approximation we arrive at a previously proposed string model with quarks at the ends, thus demonstrating the dynamical equivalence of strings and QCD in our limit, on the lattice. © 1979 The American Physical Society.

## Publication Title

Physical Review D

## Publication Date

1979

## Volume

20

## Issue

12

## First Page

3311

## Last Page

3330

## ISSN

0556-2821

## DOI

10.1103/PhysRevD.20.3311

## Repository Citation

Bars, Itzhak and Green, Frederic, "Complete integration of U(N) lattice gauge theory in a large-N limit" (1979). *Computer Science*. 92.

https://commons.clarku.edu/faculty_computer_sciences/92

## APA Citation

Bars, I., & Green, F. (1979). Complete integration of U (N) lattice gauge theory in a large-N limit. *Physical Review D*, *20*(12), 3311.