Galilean Yang-Mills theory
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13130_2016_Article_3698.pdf
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Author(s)
Bagchi, Arjun
Basu, Rudranil
Kakkar, Ashish
Mehra, Aditya
Date Issued
April 2016
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Bagchi, Arjun, Rudranil Basu, Ashish Kakkar, and Aditya Mehra. "Galilean Yang-Mills theory." Journal of High Energy Physics. 2016 Apr 11;2016(4):51.
Version
Final published version
Abstract
We investigate the symmetry structure of the non-relativistic limit of Yang-Mills theories. Generalising previous results in the Galilean limit of electrodynamics, we discover that for Yang-Mills theories there are a variety of limits inside the Galilean regime. We first explicitly work with the SU(2) theory and then generalise to SU(N) for all N, systematising our notation and analysis. We discover that the whole family of limits lead to different sectors of Galilean Yang-Mills theories and the equations of motion in each sector exhibit hitherto undiscovered infinite dimensional symmetries, viz. infinite Galilean Conformal symmetries in D = 4. These provide the first examples of interacting Galilean Conformal Field Theories (GCFTs) in D > 2.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP04(2016)051
