38 research outputs found
Subtleties in the beta function calculation of N=1 supersymmetric gauge theories
We investigate some peculiarities in the calculation of the two-loop
beta-function of supersymmetric models which are intimately related to
the so-called "Anomaly Puzzle". There is an apparent paradox when the
computation is performed in the framework of the covariant derivative
background field method. In this formalism, it is obtained a finite two-loop
effective action, although a non-null coefficient for the beta-function is
achieved by means of the renormalized two-point function in the background
field. We show that if the standard background field method is used, this
two-point function has a divergent part which allows for the calculation of the
beta-function via the renormalization constants, as usual. Therefore, we
conjecture that this paradox has its origin in the covariant supergraph
formalism itself, possibly being an artifact of the rescaling anomaly.Comment: Few misprintings corrected and comments added. To meet the version to
be published at European Physical Journal
On the relation between the propagators of dual theories
In this paper, we show that the propagator of the dual of a general
Proca-like theory, derived from the gauging iterative Noether Dualization
Method, can be written by means of a simple relation between known propagators.
This result is also a demonstration that the Lagrangian obtained by dualization
describes the same physical particles as the ones present in the original
theory at the expense of introducing new non-physical (ghosts) excitations.Comment: latex, 4 page
Implicit Regularization and Renormalization of QCD
We apply the Implicit Regularization Technique (IR) in a non-abelian gauge
theory. We show that IR preserves gauge symmetry as encoded in relations
between the renormalizations constants required by the Slavnov-Taylor
identities at the one loop level of QCD. Moreover, we show that the technique
handles divergencies in massive and massless QFT on equal footing.Comment: (11 pages, 2 figures
The full Lorentz-violating vacuum polarization tensor: low and high energy limits
We compute the full vacuum polarization tensor in the fermion sector of
Lorentz-violating QED. Even if we assume momentum routing invariance of the
Feynman diagrams, it is not possible to fix all surface terms and find an
unambiguity free vacuum polarization tensor. The high and low energy limits of
this tensor is presented. In the high energy limit, only
coeffcients contribute. In the low energy limit, we fnd that Lorentz-violating
induced terms depend only on , and
coeffcients and they are suppressed by powers of . This
limit allows to obtain implications for condensed matter systems, explicitly,
for the Hall effect in Weyl semimetals.Comment: 11 pages, 4 figure
Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization
Modifications of the electromagnetic Maxwell Lagrangian in four dimensions
have been considered by some authors. One may include an explicit massive term
(Proca) and a topological but not Lorentz-invariant term within certain
observational limits.
We find the dual-corresponding gauge invariant version of this theory by
using the recently suggested gauge embedding method. We enforce this
dualisation procedure by showing that, in many cases, this is actually a
constructive method to find a sort of parent action, which manifestly
establishes duality. We also use the gauge invariant version of this theory to
formulate a Batalin-Vilkovisky quantization and present a detailed discussion
on the excitation spectrum.Comment: 8 page