Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
High Energy Physics - Theory
2018-12-05 v2
Abstract
We derive an action describing edge dynamics on interfaces for gauge theories (Maxwell and Yang-Mills) using the path integral. The canonical structure of the edge theory is deduced and the thermal partition function calculated. We test the edge action in several applications. For Maxwell in Rindler space, we recover earlier results, now embedded in a dynamical canonical framework. A second application is 2d Yang-Mills theory where the boundary action becomes just the particle-on-a-group action. Correlators of boundary-anchored Wilson lines in 2d Yang-Mills are matched with, and identified as correlators of bilocal operators in the particle-on-a-group edge model.
Keywords
Cite
@article{arxiv.1804.07585,
title = {Edge Dynamics from the Path Integral: Maxwell and Yang-Mills},
author = {Andreas Blommaert and Thomas G. Mertens and Henri Verschelde},
journal= {arXiv preprint arXiv:1804.07585},
year = {2018}
}
Comments
50 pages, v2: typos corrected and references added, matches published version