### A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator

David Dudal UGent, Nele Vandersickel UGent and Henri Verschelde UGent (2009) 64(1). p.147-159
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
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
STATES, MASS, SEARCH, GLUONIUM, SPECTRUM, QCD, PHYSICS, HADRONIC STRUCTURE, COMPOSITE-OPERATORS, QUANTUM CHROMODYNAMICS
journal title
EUROPEAN PHYSICAL JOURNAL C
Eur. Phys. J. C
volume
64
issue
1
pages
147 - 159
Web of Science type
Article
Web of Science id
000271119700017
JCR category
PHYSICS, PARTICLES & FIELDS
JCR impact factor
2.746 (2009)
JCR rank
11/27 (2009)
JCR quartile
2 (2009)
ISSN
1434-6044
DOI
10.1140/epjc/s10052-009-1139-3
language
English
UGent publication?
yes
classification
A1
I have transferred the copyright for this publication to the publisher
id
1579491
handle
http://hdl.handle.net/1854/LU-1579491
date created
2011-06-27 13:49:40
date last changed
2016-12-19 15:44:35
```@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{\textacutedbl} 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},
language     = {eng},
number       = {1},
pages        = {147--159},
title        = {A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator},
url          = {http://dx.doi.org/10.1140/epjc/s10052-009-1139-3},
volume       = {64},
year         = {2009},
}

```
Chicago
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.
APA
Dudal, David, 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.
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.
MLA
Dudal, David, SP Sorella, Nele Vandersickel, et al. “A Purely Algebraic Construction of a Gauge and Renormalization Group Invariant Scalar Glueball Operator.” EUROPEAN PHYSICAL JOURNAL C 64.1 (2009): 147–159. Print.