182 research outputs found
Dissipation and memory effects in pure glue deconfinement
We investigate the effects of dissipation in the deconfining transition for a
pure SU(2) gauge theory. Using an effective model for the order parameter, we
study its Langevin evolution numerically, and compare results from local
additive noise dynamics to those obtained considering an exponential non-local
kernel for early times.Comment: 4 pages, 2 figures, to appear in the proceedings of Strong and
Electroweak Matter (SEWM06), BNL, May 200
An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
The quantization of non-Abelian gauge theories is known to be plagued by
Gribov copies. Typical examples are the copies related to zero modes of the
Faddeev-Popov operator, which give rise to singularities in the ghost
propagator. In this work we present an exact and compact expression for the
ghost propagator as a function of external gauge fields, in SU(N) Yang-Mills
theory in the Landau gauge. It is shown, to all orders, that the condition for
the ghost propagator not to have a pole, the so-called Gribov's no-pole
condition, can be implemented by demanding a nonvanishing expectation value for
a functional of the gauge fields that turns out to be Zwanziger's horizon
function. The action allowing to implement this condition is the
Gribov-Zwanziger action. This establishes in a precise way the equivalence
between Gribov's no-pole condition and Zwanziger's horizon condition.Comment: 11 pages, typos corrected, version accepted for publication in Phys.
Lett.
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