591 research outputs found
Perturbative Part of the Non-Singlet Structure Function F_2 in the Large-N_F Limit
We have calculated Wilson coefficients and anomalous dimensions
for the non-singlet part of the structure function F_2 in the large-N_F limit.
Our result agrees with exact two and three loop calculations and gives the
leading N_F dependence of the perturbative non-singlet Wilson coefficients to
all orders in .Comment: 11 pages, including one figur
O(1/N_f) Corrections to the Thirring Model in 2<d<4
The Thirring model, that is, a relativistic field theory of fermions with a
contact interaction between vector currents, is studied for dimensionalities
2<d<4 using the 1/N_f expansion, where N_f is the number of fermion species.
The model is found to have no ultraviolet divergences at leading order provided
a regularization respecting current conservation is used. Explicit O(1/N_f)
corrections are computed, and the model shown to be renormalizable at this
order in the massless limit; renormalizability appears to hold to all orders
due to a special case of Weinberg's theorem. This implies there is a universal
amplitude for four particle scattering in the asymptotic regime. Comparisons
are made with both the Gross-Neveu model and QED.Comment: 22 pages in plain TeX, with 7 figs included using psfig.tex (Minor
conceptual changes - algebra unaffected
Phase transition and critical behaviour of the d=3 Gross-Neveu model
A second order phase transition for the three dimensional Gross-Neveu model
is established for one fermion species N=1. This transition breaks a paritylike
discrete symmetry. It constitutes its peculiar universality class with critical
exponent \nu = 0.63 and scalar and fermionic anomalous dimension \eta_\sigma =
0.31 and \eta_\psi = 0.11, respectively. We also compute critical exponents for
other N. Our results are based on exact renormalization group equations.Comment: 4 pages, 1 figure; v4 corresponds to the published articl
A study of the gauge invariant, nonlocal mass operator in Yang-Mills theories
The nonlocal mass operator is
considered in Yang-Mills theories in Euclidean space-time. It is shown that the
operator can be cast in local
form through the introduction of a set of additional fields. A local and
polynomial action is thus identified. Its multiplicative renormalizability is
proven by means of the algebraic renormalization in the class of linear
covariant gauges. The anomalous dimensions of the fields and of the mass
operator are computed at one loop order. A few remarks on the possible role of
this operator for the issue of the gauge invariance of the dimension two
condensates are outlined.Comment: 34 page
The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal Abelian gauge
We report on some recent analytical results on the behaviour of the gluon and
ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal
Abelian gauge (MAG). This gauge is of particular interest for the dual
superconductivity picture to explain color confinement. Two kinds of effects
are taken into account: those arising from a treatment of Gribov copies in the
MAG and those arising from a dynamical mass originating in a dimension two
gluon condensate. The diagonal component of the gluon propagator displays the
typical Gribov-type behaviour, while the off-diagonal component is of the
Yukawa type due to the dynamical mass. These results are in qualitative
agreement with available lattice data on the gluon propagators. The
off-diagonal ghost propagator exhibits an infrared enhancement due to the
Gribov restriction, while the diagonal one remains unaffected.Comment: 6 pages. Talk given by S.P. Sorella at the "I Latin American Workshop
on High Energy Phenomenology (I LAWHEP)", December 1-3 2005, Instituto de
Fisica, UFRGS, Porto Alegre, Rio Grande Do Sul, Brasi
Two loop MSbar Gribov mass gap equation with massive quarks
We compute the two loop MSbar correction to the Gribov mass gap equation in
the Landau gauge using the Gribov-Zwanziger Lagrangian with massive quarks
included. The computation involves dilogarithms of complex arguments and
reproduces the known gap equation when the quark mass tends to zero.Comment: 20 latex page
The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
In previous works, we have constructed a refined version of the
Gribov-Zwanziger action in 4 dimensions, by taking into account a novel
dynamical effect. In this paper, we explore the 3-dimensional case. Analogously
as in 4 dimensions, we obtain a ghost propagator behaving like in the
infrared, while the gluon propagator reaches a finite nonvanishing value at
zero momentum. Simultaneously, a clear violation of positivity by the gluon
propagator is also found. This behaviour of the propagators turns out be in
agreement with the recent numerical simulations.Comment: 26 pages, 16 .eps figures. v3: version accepted for publication in
Phys Rev
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