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Edge dynamics from the path integral : Maxwell and Yang-Mills

Andreas Blommaert (UGent) , Thomas Mertens (UGent) and Henri Verschelde (UGent)
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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 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.
Keywords
Gauge Symmetry, Black Holes, Field Theories in Lower Dimensions, Topological Field Theories, BLACK-HOLE ENTROPY, GAUGE-THEORIES, QUANTIZATION, GRAVITY

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Citation

Please use this url to cite or link to this publication:

Chicago
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. 2018. “Edge Dynamics from the Path Integral : Maxwell and Yang-Mills.” Journal of High Energy Physics (11).
APA
Blommaert, A., Mertens, T., & Verschelde, H. (2018). Edge dynamics from the path integral : Maxwell and Yang-Mills. JOURNAL OF HIGH ENERGY PHYSICS, (11).
Vancouver
1.
Blommaert A, Mertens T, Verschelde H. Edge dynamics from the path integral : Maxwell and Yang-Mills. JOURNAL OF HIGH ENERGY PHYSICS. 2018;(11).
MLA
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. “Edge Dynamics from the Path Integral : Maxwell and Yang-Mills.” JOURNAL OF HIGH ENERGY PHYSICS 11 (2018): n. pag. Print.
@article{8584361,
  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 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.},
  articleno    = {080},
  author       = {Blommaert, Andreas and Mertens, Thomas and Verschelde, Henri},
  issn         = {1029-8479},
  journal      = {JOURNAL OF HIGH ENERGY PHYSICS},
  keywords     = {Gauge Symmetry,Black Holes,Field Theories in Lower Dimensions,Topological Field Theories,BLACK-HOLE ENTROPY,GAUGE-THEORIES,QUANTIZATION,GRAVITY},
  language     = {eng},
  number       = {11},
  pages        = {49},
  title        = {Edge dynamics from the path integral : Maxwell and Yang-Mills},
  url          = {http://dx.doi.org/10.1007/jhep11(2018)080},
  year         = {2018},
}

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