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More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges

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Abstract
In this paper, we discuss the gluon propagator in the linear covariant gauges in D = 2, 3, 4 Euclidean dimensions. Nonperturbative effects are taken into account via the so-called refined Gribov-Zwanziger framework. We point out that, as in the Landau and maximal Abelian gauges, for D = 3, 4, the gluon propagator displays a massive (decoupling) behavior, while for D = 2, a scaling one emerges. All results are discussed in a setup that respects the Becchi-Rouet-Stora-Tyutin (BRST) symmetry, through a recently introduced nonperturbative BRST transformation. We also propose a minimizing functional that could be used to construct a lattice version of our nonperturbative definition of the linear covariant gauge.
Keywords
AMBIGUITIES, INVARIANCE, PROPAGATORS, GLUON, QCD, HORIZON, POLYAKOV LOOP, LANDAU GAUGE, MAXIMALLY ABELIAN GAUGE, SUPER-YANG-MILLS

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Chicago
Capri, MAL, D Fiorentini, MS Guimaraes, BW Mintz, LF Palhares, SP Sorella, David Dudal, Igor Figueiredo Justo, AD Pereira, and RF Sobreiro. 2016. “More on the Nonperturbative Gribov-Zwanziger Quantization of Linear Covariant Gauges.” Physical Review D 93 (6).
APA
Capri, M., Fiorentini, D., Guimaraes, M., Mintz, B., Palhares, L., Sorella, S., Dudal, D., et al. (2016). More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges. PHYSICAL REVIEW D, 93(6).
Vancouver
1.
Capri M, Fiorentini D, Guimaraes M, Mintz B, Palhares L, Sorella S, et al. More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges. PHYSICAL REVIEW D. 2016;93(6).
MLA
Capri, MAL, D Fiorentini, MS Guimaraes, et al. “More on the Nonperturbative Gribov-Zwanziger Quantization of Linear Covariant Gauges.” PHYSICAL REVIEW D 93.6 (2016): n. pag. Print.
@article{7280932,
  abstract     = {In this paper, we discuss the gluon propagator in the linear covariant gauges in D = 2, 3, 4 Euclidean dimensions. Nonperturbative effects are taken into account via the so-called refined Gribov-Zwanziger framework. We point out that, as in the Landau and maximal Abelian gauges, for D = 3, 4, the gluon propagator displays a massive (decoupling) behavior, while for D = 2, a scaling one emerges. All results are discussed in a setup that respects the Becchi-Rouet-Stora-Tyutin (BRST) symmetry, through a recently introduced nonperturbative BRST transformation. We also propose a minimizing functional that could be used to construct a lattice version of our nonperturbative definition of the linear covariant gauge.},
  articleno    = {065019},
  author       = {Capri, MAL and Fiorentini, D and Guimaraes, MS and Mintz, BW and Palhares, LF and Sorella, SP and Dudal, David and Figueiredo Justo, Igor and Pereira, AD and Sobreiro, RF},
  issn         = {2470-0010},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {AMBIGUITIES,INVARIANCE,PROPAGATORS,GLUON,QCD,HORIZON,POLYAKOV LOOP,LANDAU GAUGE,MAXIMALLY ABELIAN GAUGE,SUPER-YANG-MILLS},
  language     = {eng},
  number       = {6},
  pages        = {13},
  title        = {More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges},
  url          = {http://dx.doi.org/10.1103/PhysRevD.93.065019},
  volume       = {93},
  year         = {2016},
}

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