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A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework

David Dudal (UGent) , SP Sorella, Nele Vandersickel (UGent) and Henri Verschelde (UGent)
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Abstract
This paper presents a complete algebraic analysis of the renormalizability of the d = 4 operator F-mu nu(2) in the Gribov-Zwanziger (GZ) formalism as well as in the Refined Gribov-Zwanziger (RGZ) version. The GZ formalism offers a way to deal with gauge copies in the Landau gauge. We explicitly show that F-mu nu(2) mixes with other d = 4 gauge variant operators, and we determine the mixing matrix Z to all orders, thereby only using algebraic arguments. The mixing matrix allows us to uncover a renormalization group invariant including the operator F-mu nu(2) With this renormalization group invariant, we have paved the way for the study of the lightest scalar glueball in the GZ formalism. We discuss how the soft breaking of the BRST symmetry of the GZ action can influence the glueball correlation function. We expect non-trivial mass scales, inherent to the GZ approach, to enter the pole structure of this correlation function.
Keywords
Gauge Symmetry, COMPOSITE-OPERATORS, BRST Symmetry, Renormalization Group, LANDAU GAUGE, FIELD-THEORY, PHYSICS, HORIZON, SEARCH, QCD

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Chicago
Dudal, David, SP Sorella, Nele Vandersickel, and Henri Verschelde. 2009. “A Renormalization Group Invariant Scalar Glueball Operator in the (Refined) Gribov-Zwanziger Framework.” Journal of High Energy Physics (8).
APA
Dudal, David, Sorella, S., Vandersickel, N., & Verschelde, H. (2009). A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework. JOURNAL OF HIGH ENERGY PHYSICS, (8).
Vancouver
1.
Dudal D, Sorella S, Vandersickel N, Verschelde H. A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework. JOURNAL OF HIGH ENERGY PHYSICS. 2009;(8).
MLA
Dudal, David, SP Sorella, Nele Vandersickel, et al. “A Renormalization Group Invariant Scalar Glueball Operator in the (Refined) Gribov-Zwanziger Framework.” JOURNAL OF HIGH ENERGY PHYSICS 8 (2009): n. pag. Print.
@article{1579471,
  abstract     = {This paper presents a complete algebraic analysis of the renormalizability of the d = 4 operator F-mu nu(2) in the Gribov-Zwanziger (GZ) formalism as well as in the Refined Gribov-Zwanziger (RGZ) version. The GZ formalism offers a way to deal with gauge copies in the Landau gauge. We explicitly show that F-mu nu(2) mixes with other d = 4 gauge variant operators, and we determine the mixing matrix Z to all orders, thereby only using algebraic arguments. The mixing matrix allows us to uncover a renormalization group invariant including the operator F-mu nu(2) With this renormalization group invariant, we have paved the way for the study of the lightest scalar glueball in the GZ formalism. We discuss how the soft breaking of the BRST symmetry of the GZ action can influence the glueball correlation function. We expect non-trivial mass scales, inherent to the GZ approach, to enter the pole structure of this correlation function.},
  articleno    = {110},
  author       = {Dudal, David and Sorella, SP and Vandersickel, Nele and Verschelde, Henri},
  issn         = {1126-6708},
  journal      = {JOURNAL OF HIGH ENERGY PHYSICS},
  keyword      = {Gauge Symmetry,COMPOSITE-OPERATORS,BRST Symmetry,Renormalization Group,LANDAU GAUGE,FIELD-THEORY,PHYSICS,HORIZON,SEARCH,QCD},
  language     = {eng},
  number       = {8},
  pages        = {38},
  title        = {A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework},
  url          = {http://dx.doi.org/10.1088/1126-6708/2009/08/110},
  year         = {2009},
}

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