Correlation functions of three-dimensional Yang-Mills theory from the FRG
Abstract
We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators as well as the momentum-dependent ghost-gluon, three-gluon, and four-gluon vertices in a comprehensive truncation scheme. Compared to the physical case of four spacetime dimensions, we need more sophisticated truncations due to significant contributions from non-classical tensor structures. In particular, we apply a special technique to compute the tadpole diagrams of the propagator equations, which captures also all perturbative two-loop effects, and compare our correlators with lattice and Dyson-Schwinger results.
- Authors:
-
- Heidelberg University
- Brookhaven National Laboratory
- ExtreMe Matter Institute, Heidelberg University
- Lawrence Berkeley National Laboratory
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1488667
- Grant/Contract Number:
- AC02-05CH11231; SC0012704
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 5 Journal Issue: 6
- Publisher:
- Stichting SciPost
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Citation Formats
Corell, Lukas, Cyrol, Anton K., Mitter, Mario, Pawlowski, Jan M., and Strodthoff, Nils. Correlation functions of three-dimensional Yang-Mills theory from the FRG. Country unknown/Code not available: N. p., 2018.
Web. doi:10.21468/SciPostPhys.5.6.066.
Corell, Lukas, Cyrol, Anton K., Mitter, Mario, Pawlowski, Jan M., & Strodthoff, Nils. Correlation functions of three-dimensional Yang-Mills theory from the FRG. Country unknown/Code not available. https://doi.org/10.21468/SciPostPhys.5.6.066
Corell, Lukas, Cyrol, Anton K., Mitter, Mario, Pawlowski, Jan M., and Strodthoff, Nils. Fri .
"Correlation functions of three-dimensional Yang-Mills theory from the FRG". Country unknown/Code not available. https://doi.org/10.21468/SciPostPhys.5.6.066.
@article{osti_1488667,
title = {Correlation functions of three-dimensional Yang-Mills theory from the FRG},
author = {Corell, Lukas and Cyrol, Anton K. and Mitter, Mario and Pawlowski, Jan M. and Strodthoff, Nils},
abstractNote = {We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators as well as the momentum-dependent ghost-gluon, three-gluon, and four-gluon vertices in a comprehensive truncation scheme. Compared to the physical case of four spacetime dimensions, we need more sophisticated truncations due to significant contributions from non-classical tensor structures. In particular, we apply a special technique to compute the tadpole diagrams of the propagator equations, which captures also all perturbative two-loop effects, and compare our correlators with lattice and Dyson-Schwinger results.},
doi = {10.21468/SciPostPhys.5.6.066},
journal = {SciPost Physics},
number = 6,
volume = 5,
place = {Country unknown/Code not available},
year = {Fri Dec 21 00:00:00 EST 2018},
month = {Fri Dec 21 00:00:00 EST 2018}
}
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https://doi.org/10.21468/SciPostPhys.5.6.066
https://doi.org/10.21468/SciPostPhys.5.6.066
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