Edge dynamics from the path integral — Maxwell and Yang-Mills
Apr 20, 2018Citations per year
Abstract: (Springer)
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 edge 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.Note:
- 50 pages, v2: typos corrected and references added, matches published version
- Entanglement Entropy
- Gauge Symmetry
- Black Holes
- Field Theories in Lower Dimensions
- Topological Field Theories
- gauge field theory: Yang-Mills
- partition function: thermal
- space: Rindler
- correlation function
- path integral
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Figures(6)
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