Journal
PHYSICAL REVIEW D
Volume 79, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.79.121701
Keywords
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Funding
- Research-Foundation Flanders (FWO Vlaanderen)
- FAPERJ [E-26/100.615/2007]
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq-Brazil),
- Faperj, Fundacao de Amparo a Pesquisa do Estado do Rio de Janeiro
- SR2-UERJ and the Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)
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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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