475 research outputs found
Effect of the Gribov horizon on the Polyakov loop and vice versa
We consider finite temperature SU(2) gauge theory in the continuum
formulation, which necessitates the choice of a gauge fixing. Choosing the
Landau gauge, the existing gauge copies are taken into account by means of the
Gribov-Zwanziger (GZ) quantization scheme, which entails the introduction of a
dynamical mass scale (Gribov mass) directly influencing the Green functions of
the theory. Here, we determine simultaneously the Polyakov loop (vacuum
expectation value) and Gribov mass in terms of temperature, by minimizing the
vacuum energy w.r.t. the Polyakov loop parameter and solving the Gribov gap
equation. Inspired by the Casimir energy-style of computation, we illustrate
the usage of Zeta function regularization in finite temperature calculations.
Our main result is that the Gribov mass directly feels the deconfinement
transition, visible from a cusp occurring at the same temperature where the
Polyakov loop becomes nonzero. In this exploratory work we mainly restrict
ourselves to the original Gribov-Zwanziger quantization procedure in order to
illustrate the approach and the potential direct link between the vacuum
structure of the theory (dynamical mass scales) and (de)confinement. We also
present a first look at the critical temperature obtained from the Refined
Gribov-Zwanziger approach. Finally, a particular problem for the pressure at
low temperatures is reported.Comment: 19 pages, 8 .pdf figures. v2: extended section 3 + extra references;
version accepted for publication in EPJ
Double non-perturbative gluon exchange: an update on the soft Pomeron contribution to pp scattering
We employ a set of recent, theoretically motivated, fits to non-perturbative
unquenched gluon propagators to check in how far double gluon exchange can be
used to describe the soft sector of pp scattering data (total and differential
cross section). In particular, we use the refined Gribov--Zwanziger gluon
propagator (as arising from dealing with the Gribov gauge fixing ambiguity) and
the massive Cornwall-type gluon propagator (as motivated from Dyson-Schwinger
equations) in conjunction with a perturbative quark-gluon vertex, next to a
model based on the non-perturbative quark-gluon Maris-Tandy vertex, popular
from Bethe-Salpeter descriptions of hadronic bound states. We compare the cross
sections arising from these models with "older" ISR and more recent TOTEM and
ATLAS data. The lower the value of total energy \sqrt{s}, the better the
results appear to be.Comment: 14 pages, 8 .pdf figures. To appear in Phys.Rev.
Renormalization aspects of N=1 Super Yang-Mills theory in the Wess-Zumino gauge
The renormalization of N=1 Super Yang-Mills theory is analysed in the
Wess-Zumino gauge, employing the Landau condition. An all orders proof of the
renormalizability of the theory is given by means of the Algebraic
Renormalization procedure. Only three renormalization constants are needed,
which can be identified with the coupling constant, gauge field and gluino
renormalization. The non-renormalization theorem of the gluon-ghost-antighost
vertex in the Landau gauge is shown to remain valid in N=1 Super Yang-Mills.
Moreover, due to the non-linear realization of the supersymmetry in the
Wess-Zumino gauge, the renormalization factor of the gauge field turns out to
be different from that of the gluino. These features are explicitly checked
through a three loop calculation.Comment: 15 pages, minor text improvements, references added. Version accepted
for publication in the EPJ
Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
The Gribov-Zwanziger framework accounting for the existence of Gribov copies
is extended to N=1 Super Yang--Mills theories quantized in the Landau gauge. We
show that the restriction of the domain of integration in the Euclidean
functional integral to the first Gribov horizon can be implemented in a way to
recover non-perturbative features of N=1 Super Yang--Mills theories, namely:
the existence of the gluino condensate as well as the vanishing of the vacuum
energy.Comment: 19 pages, no figure
The BRST-invariant vacuum state of the Gribov-Zwanziger theory
We revisit the effective action of the Gribov-Zwanziger theory, taking into
due account the BRST symmetry and renormalization (group invariance) of the
construction. We compute at one loop the effective potential, showing the
emergence of BRST-invariant dimension 2 condensates stabilizing the vacuum.
This paper sets the stage at zero temperature, and clears the way to studying
the Gribov-Zwanziger gap equations, and particularly the horizon condition, at
finite temperature in future work.Comment: 18 pages, 4 .pdf figure
Interaction of Na+ Ion With the Solvated Gramicidin A Transmembrane Channel
A 6-12-1 atom-atom pair potential for the interaction of a Na+ion with gramicidin A (GA) has been derived from ab initio SCF calculations on the intermolecular interaction energies between one Na+ion and GA molecular fragments. This potential has been used to obtain iso-energy maps, which in turn provide an energy profile of the Na+ion in the GA channel. We have applied this potential in Monte Carlo simulations in order to obtain i) the number of water molecules which can be placed inside the GA channel and ii) the hydration structures of the GA channel in the presence of one Na+ion
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