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Renormalization of a tensorial field theory on the homogeneous space SU(2)/U(1)
- Source :
- J.Phys.A, J.Phys.A, 2017, 50 (2), pp.025201. 〈10.1088/1751-8113/50/2/025201〉, Journal of Physics A, J.Phys.A, 2017, 50 (2), pp.025201. ⟨10.1088/1751-8113/50/2/025201⟩
- Publication Year :
- 2015
- Publisher :
- arXiv, 2015.
-
Abstract
- We study the renormalization of a general field theory on the 2-sphere with tensorial interaction and gauge invariance under the diagonal action of SU(2). We derive the power counting for arbitrary dimension d. For the case d=4, we prove perturbative renormalizability to all orders via multi-scale analysis, study both the renormalised and effective perturbation series, and establish the asymptotic freedom of the model. We also outline a general power counting for the homogeneous space SO(D)/SO(D-1), of direct interest for quantum gravity models in general dimensions, and point out the obstructions to the direct generalisation of our results to these cases.<br />Comment: 48 pages, 18 figures
- Subjects :
- High Energy Physics - Theory
Statistics and Probability
perturbation
Diagonal
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
General Physics and Astronomy
FOS: Physical sciences
quantum gravity: model
General Relativity and Quantum Cosmology (gr-qc)
01 natural sciences
Asymptotic freedom
General Relativity and Quantum Cosmology
renormalization
[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]
[ PHYS.GRQC ] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
Renormalization
0103 physical sciences
invariance: gauge
Gauge theory
010306 general physics
Mathematical Physics
Special unitary group
Mathematical physics
Physics
010308 nuclear & particles physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
16. Peace & justice
SU(2)
asymptotic freedom
High Energy Physics - Theory (hep-th)
Modeling and Simulation
Homogeneous space
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
Quantum gravity
SU(2)/U(1)
sphere
[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]
U-1
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- J.Phys.A, J.Phys.A, 2017, 50 (2), pp.025201. 〈10.1088/1751-8113/50/2/025201〉, Journal of Physics A, J.Phys.A, 2017, 50 (2), pp.025201. ⟨10.1088/1751-8113/50/2/025201⟩
- Accession number :
- edsair.doi.dedup.....7e87ebfe7005bd2a2e1449f0a4500a24
- Full Text :
- https://doi.org/10.48550/arxiv.1506.08393