A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator
- Author
- David Dudal (UGent) , SP Sorella, Nele Vandersickel (UGent) and Henri Verschelde (UGent)
- Organization
- Abstract
- This paper presents a complete algebraic proof of the renormalizability of the gauge invariant d=4 operator F (mu nu) (2) (x) to all orders of perturbation theory in pure Yang-Mills gauge theory, whereby working in the Landau gauge. This renormalization is far from being trivial as mixing occurs with other d=4 gauge variant operators, which we identify explicitly. We determine the mixing matrix Z to all orders in perturbation theory by using only algebraic arguments and consequently we can uncover a renormalization group invariant by using the anomalous dimension matrix I" derived from Z. We also present a future plan for calculating the mass of the lightest scalar glueball with the help of the framework we have set up.
- Keywords
- STATES, MASS, SEARCH, GLUONIUM, SPECTRUM, QCD, PHYSICS, HADRONIC STRUCTURE, COMPOSITE-OPERATORS, QUANTUM CHROMODYNAMICS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1579491
- MLA
- Dudal, David, et al. “A Purely Algebraic Construction of a Gauge and Renormalization Group Invariant Scalar Glueball Operator.” EUROPEAN PHYSICAL JOURNAL C, vol. 64, no. 1, 2009, pp. 147–59, doi:10.1140/epjc/s10052-009-1139-3.
- APA
- Dudal, D., Sorella, S., Vandersickel, N., & Verschelde, H. (2009). A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator. EUROPEAN PHYSICAL JOURNAL C, 64(1), 147–159. https://doi.org/10.1140/epjc/s10052-009-1139-3
- Chicago author-date
- Dudal, David, SP Sorella, Nele Vandersickel, and Henri Verschelde. 2009. “A Purely Algebraic Construction of a Gauge and Renormalization Group Invariant Scalar Glueball Operator.” EUROPEAN PHYSICAL JOURNAL C 64 (1): 147–59. https://doi.org/10.1140/epjc/s10052-009-1139-3.
- Chicago author-date (all authors)
- Dudal, David, SP Sorella, Nele Vandersickel, and Henri Verschelde. 2009. “A Purely Algebraic Construction of a Gauge and Renormalization Group Invariant Scalar Glueball Operator.” EUROPEAN PHYSICAL JOURNAL C 64 (1): 147–159. doi:10.1140/epjc/s10052-009-1139-3.
- Vancouver
- 1.Dudal D, Sorella S, Vandersickel N, Verschelde H. A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator. EUROPEAN PHYSICAL JOURNAL C. 2009;64(1):147–59.
- IEEE
- [1]D. Dudal, S. Sorella, N. Vandersickel, and H. Verschelde, “A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator,” EUROPEAN PHYSICAL JOURNAL C, vol. 64, no. 1, pp. 147–159, 2009.
@article{1579491, abstract = {{This paper presents a complete algebraic proof of the renormalizability of the gauge invariant d=4 operator F (mu nu) (2) (x) to all orders of perturbation theory in pure Yang-Mills gauge theory, whereby working in the Landau gauge. This renormalization is far from being trivial as mixing occurs with other d=4 gauge variant operators, which we identify explicitly. We determine the mixing matrix Z to all orders in perturbation theory by using only algebraic arguments and consequently we can uncover a renormalization group invariant by using the anomalous dimension matrix I" derived from Z. We also present a future plan for calculating the mass of the lightest scalar glueball with the help of the framework we have set up.}}, author = {{Dudal, David and Sorella, SP and Vandersickel, Nele and Verschelde, Henri}}, issn = {{1434-6044}}, journal = {{EUROPEAN PHYSICAL JOURNAL C}}, keywords = {{STATES,MASS,SEARCH,GLUONIUM,SPECTRUM,QCD,PHYSICS,HADRONIC STRUCTURE,COMPOSITE-OPERATORS,QUANTUM CHROMODYNAMICS}}, language = {{eng}}, number = {{1}}, pages = {{147--159}}, title = {{A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator}}, url = {{http://doi.org/10.1140/epjc/s10052-009-1139-3}}, volume = {{64}}, year = {{2009}}, }
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