Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 38, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/abc667
Keywords
holonomy; extended loops; loop quantum gravity
Categories
Funding
- Hearne Institute for Theoretical Physics, CCT-LSU
- Pedeciba
- Fondo Clemente Estable [FCE_1_2014_1_103803]
- [NSF-PHY-1603630]
- [NSF-PHY-1903799]
Ask authors/readers for more resources
The holonomy of generic extended loops is not gauge covariant, but a new approach is presented in this paper to define a family of extended loops that overcomes this issue. Sufficient conditions for extended loops to yield covariant holonomies are also provided. This opens up the possibility for a quantum representation of Yang-Mills theories and gravity based on extended loops.
It has been pointed out that the holonomy of generic extended loops is not gauge covariant. We show how to define a family of extended loops for which previous criticism does not apply. We also give sufficient conditions that extended loops must satisfy in order to yield covariant holonomies. This makes a quantum representation for Yang-Mills theories and gravity based on extended loops viable.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
