181 research outputs found
Topological mass mechanism and exact fields mapping
We present a class of mappings between models with topological mass mechanism
and purely topological models in arbitrary dimensions. These mappings are
established by directly mapping the fields of one model in terms of the fields
of the other model in closed expressions. These expressions provide the
mappings of their actions as well as the mappings of their propagators. For a
general class of models in which the topological model becomes the BF model the
mappings present arbitrary functions which otherwise are absent for
Chern-Simons like actions. This work generalizes the results of [1] for
arbitrary dimensions.Comment: 11 page
Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
The properties of the Gribov region in SU(2) Euclidean Yang-Mills theories in
the maximal Abelian gauge are investigated. This region turns out to be bounded
in all off-diagonal directions, while it is unbounded along the diagonal one.
The soft breaking of the BRST invariance due to the restriction of the domain
of integration in the path integral to the Gribov region is scrutinized. Owing
to the unboundedness in the diagonal direction, the invariance with respect to
Abelian transformations is preserved, a property which is at the origin of the
local U(1) Ward identity of the maximal Abelian gauge.Comment: 15 pages, one reference added, version accepted for publication in
Phys. Rev.
Charge Fluctuations in Soliton Anti-Soliton Systems Without Conjugation Symmetry
We construct the charge operator and discuss the limits of their eigenvalues
as the separation between background soliton and anti-solitons goes to infinity
and analyze the fluctuations of the charge. This is performed in a (1+1)D model
with charge conjugation breaking
The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates
The infrared behavior of the gluon and ghost propagators is studied in SU(2)
Euclidean Yang-Mills theory in the maximal Abelian gauge within the
Gribov-Zwanziger framework. The nonperturbative effects associated with the
Gribov copies and with the dimension two condensates are simultaneously encoded
into a local and renormalizable Lagrangian. The resulting behavior turns out to
be in good agreement with the lattice data.Comment: final version, to appear in Physical Review
Quantum properties of a non-Abelian gauge invariant action with a mass parameter
We continue the study of a local, gauge invariant Yang-Mills action
containing a mass parameter, which we constructed in a previous paper starting
from the nonlocal gauge invariant mass dimension two operator F_{\mu\nu}
(D^2)^{-1} F_{\mu\nu}. We return briefly to the renormalizability of the model,
which can be proven to all orders of perturbation theory by embedding it in a
more general model with a larger symmetry content. We point out the existence
of a nilpotent BRST symmetry. Although our action contains extra
(anti)commuting tensor fields and coupling constants, we prove that our model
in the limit of vanishing mass is equivalent with ordinary massless Yang-Mills
theories. The full theory is renormalized explicitly at two loops in the MSbar
scheme and all the renormalization group functions are presented. We end with
some comments on the potential relevance of this gauge model for the issue of a
dynamical gluon mass generation.Comment: 17 pages. v2: version accepted for publication in Phys.Rev.
Triviality of Higher Derivative Theories
We show that some higher derivative theories have a BRST symmetry. This
symmetry is due to the higher derivative structure and is not associated to any
gauge invariance. If physical states are defined as those in the BRST
cohomology then the only physical state is the vacuum. All negative norm
states, characteristic of higher derivative theories, are removed from the
physical sector. As a consequence, unitarity is recovered but the S-matrix is
trivial. We show that a class of higher derivative quantum gravity theories
have this BRST symmetry so that they are consistent as quantum field theories.
Furthermore, this BRST symmetry may be present in both relativistic and
non-relativistic systems.Comment: 4 pages, minor correction
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
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