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Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that

David Dudal (UGent) , SP Sorella, Nele Vandersickel (UGent) and Henri Verschelde (UGent)
(2009) PHYSICAL REVIEW D. 79(12).
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Abstract
We aim to offer a kind of unifying view on two popular topics in the studies of nonperturbative aspects of Yang-Mills theories in the Landau gauge: the so-called Gribov-Zwanziger approach and the Kugo-Ojima confinement criterion. Borrowing results from statistical thermodynamics, we show that imposing the Kugo-Ojima confinement criterion as a boundary condition leads to a modified yet renormalizable partition function. We verify that the resulting partition function is equivalent with the one obtained by Gribov and Zwanziger, which restricts the domain of integration in the path integral within the first Gribov horizon. The construction of an action implementing a boundary condition allows one to discuss the symmetries of the system in the presence of the boundary. In particular, the conventional Becchi-Rouet-Stora-Tyutin symmetry is softly broken.
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GAUGE

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Citation

Please use this url to cite or link to this publication:

Chicago
Dudal, David, SP Sorella, Nele Vandersickel, and Henri Verschelde. 2009. “Gribov No-pole Condition, Zwanziger Horizon Function, Kugo-Ojima Confinement Criterion, Boundary Conditions, BRST Breaking and All That.” Physical Review D 79 (12).
APA
Dudal, David, Sorella, S., Vandersickel, N., & Verschelde, H. (2009). Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that. PHYSICAL REVIEW D, 79(12).
Vancouver
1.
Dudal D, Sorella S, Vandersickel N, Verschelde H. Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that. PHYSICAL REVIEW D. 2009;79(12).
MLA
Dudal, David, SP Sorella, Nele Vandersickel, et al. “Gribov No-pole Condition, Zwanziger Horizon Function, Kugo-Ojima Confinement Criterion, Boundary Conditions, BRST Breaking and All That.” PHYSICAL REVIEW D 79.12 (2009): n. pag. Print.
@article{1579459,
  abstract     = {We aim to offer a kind of unifying view on two popular topics in the studies of nonperturbative aspects of Yang-Mills theories in the Landau gauge: the so-called Gribov-Zwanziger approach and the Kugo-Ojima confinement criterion. Borrowing results from statistical thermodynamics, we show that imposing the Kugo-Ojima confinement criterion as a boundary condition leads to a modified yet renormalizable partition function. We verify that the resulting partition function is equivalent with the one obtained by Gribov and Zwanziger, which restricts the domain of integration in the path integral within the first Gribov horizon. The construction of an action implementing a boundary condition allows one to discuss the symmetries of the system in the presence of the boundary. In particular, the conventional Becchi-Rouet-Stora-Tyutin symmetry is softly broken.},
  articleno    = {121701},
  author       = {Dudal, David and Sorella, SP and Vandersickel, Nele and Verschelde, Henri},
  issn         = {1550-7998},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {GAUGE},
  language     = {eng},
  number       = {12},
  pages        = {5},
  title        = {Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that},
  url          = {http://dx.doi.org/10.1103/PhysRevD.79.121701},
  volume       = {79},
  year         = {2009},
}

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