Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-03
Phys.Rev.D79:121701,2009
Physics
High Energy Physics
High Energy Physics - Theory
5 pages. v2 matches version to appear in PhysRevD (RC)
Scientific paper
10.1103/PhysRevD.79.121701
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 BRST symmetry is softly broken.
Dudal David
Sorella Silvio Paolo
Vandersickel Nele
Verschelde Henri
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