Dimension two condensates in the Gribov-Zwanziger theory in Coulomb gauge

作者：Guimaraes M S^*; Mintz B W; Sorella S P

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2015, 91(12): 121701.

DOI：10.1103/PhysRevD.91.121701

We investigate the dimension two condensate ((phi) over bar (ab)(i)phi(ab)(i) -(omega) over bar (ab)(i)omega(ab)(i)) within the Gribov-Zwanziger approach to Euclidean Yang-Mills theories in the Coulomb gauge, in both 3 and 4 dimensions. An explicit calculation shows that, at the first order, the condensate ((phi) over bar (ab)(i)phi(ab)(i) -(omega) over bar (ab)(i)omega(ab)(i)) is plagued by a nonintegrable IR divergence in 3D, while in 4D it exhibits a logarithmic UV divergence, being proportional to the Gribov parameter gamma(2). These results indicate that in 3D the transverse spatial Coulomb gluon two-point correlation function exhibits a scaling behavior, in agreement with Gribov's expression. In 4D, however, they suggest that, next to the scaling behavior, a decoupling solution might emerge too.

• 出版日期2015-6-3