Oneloop renormalization of pure YangMills theory with Lorentz violation
Abstract
The explicit oneloop renormalizability of pure YangMills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counterterms are consistent with a single rescaling of the Lorentzviolation parameters. In addition, the resulting beta functions indicate that the CPTeven Lorentzviolating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPTodd terms. The calculations are performed at lowest order in the Lorentzviolating terms as they are assumed small.
 Authors:
 New College of Florida, Sarasota, Florida 34243 (United States)
 Publication Date:
 OSTI Identifier:
 20933295
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.105002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CPT THEOREM; GAUGE INVARIANCE; LORENTZ INVARIANCE; QUANTUM FIELD THEORY; RENORMALIZATION; YANGMILLS THEORY
Citation Formats
Colladay, Don, and McDonald, Pat. Oneloop renormalization of pure YangMills theory with Lorentz violation. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.105002.
Colladay, Don, & McDonald, Pat. Oneloop renormalization of pure YangMills theory with Lorentz violation. United States. doi:10.1103/PHYSREVD.75.105002.
Colladay, Don, and McDonald, Pat. Tue .
"Oneloop renormalization of pure YangMills theory with Lorentz violation". United States.
doi:10.1103/PHYSREVD.75.105002.
@article{osti_20933295,
title = {Oneloop renormalization of pure YangMills theory with Lorentz violation},
author = {Colladay, Don and McDonald, Pat},
abstractNote = {The explicit oneloop renormalizability of pure YangMills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counterterms are consistent with a single rescaling of the Lorentzviolation parameters. In addition, the resulting beta functions indicate that the CPTeven Lorentzviolating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPTodd terms. The calculations are performed at lowest order in the Lorentzviolating terms as they are assumed small.},
doi = {10.1103/PHYSREVD.75.105002},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Renormalization of the YangMills theory in the twoloop approximation in an arbitrary gauge
The GellMannLow function and the anomalous dimensions of propagators in the YangMills theory are calculated in the twoloop approximation for an arbitrary value of the gauge parameter. 
Oneloop renormalization of QCD with Lorentz violation
The explicit oneloop renormalizability of the gluon sector of QCD with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization, as the required counterterms are consistent with a single rescaling of the Lorentzviolation parameters. In addition, the resulting beta functions indicate that the CPTeven Lorentzviolating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPTodd terms. The calculations are performed at lowest order in the Lorentzviolating terms, as they are assumed small. 
Oneloop renormalization of the electroweak sector with Lorentz violation
The oneloop renormalizability of the electroweak sector of the standard model extension (SME) with Lorentz violation is studied. Functional determinants are used to calculate the oneloop contributions of the Higgs, gauge bosons and fermions to the oneloop effective action. The results are consistent with multiplicative renormalization of the SME coupling constants. Conventional electroweak symmetry breaking is effectively unaltered relative to the standard case as the renormalized SME parameters are sufficient to absorb all infinite contributions00. 
Two loop partition function for large N pure YangMills theory on a small S{sup 3}
We give a direct pathintegral calculation of the partition function for pure 3+1 dimensional U(N) YangMills theory at large N on a small S{sup 3}, up to two loop order in perturbation theory. From this, we calculate the one loop shift in the Hagedorn/deconfinement temperature for the theory at small volume, finding that it increases (in units of the inverse sphere radius) as we go to larger coupling (larger volume). Our results also allow us to read off the sum of one loop anomalous dimensions for all operators with a given engineering dimension in planar YangMills theory on R{sup 4}.more »