243 research outputs found
The Jackiw-Pi model and its symmetries
The non-Abelian gauge model proposed by Jackiw and Pi, which generates an
even-parity mass term in three space-time dimensions, is revisited in this
letter. All the symmetries of the model are collected and established by means
of BRS invariance and Slavnov-Taylor identity. The path for the perturbatively
quantization of the Jackiw-Pi model, through the algebraic method of
renormalization, is presented.Comment: 5 page
The Jackiw-Pi model: classical theory
The massive even-parity non-Abelian gauge model in three space-time
dimensions proposed by Jackiw and Pi is studied at the tree-level. The
propagators are computed and the spectrum consistency is analyzed, besides, the
symmetries of the model are collected and established through BRS invariance
and Slavnov-Taylor identity. In the Landau gauge, thanks to the antighost
equations and the Slavnov-Taylor identity, two rigid symmetries are identified
by means of Ward identities. It is presented here a promising path for
perturbatively quantization of the Jackiw-Pi model and a hint concerning its
possible quantum scale invariance is also pointed out.Comment: In honor of the 70th birthday of Prof. Olivier Piguet. 11 page
Probing the Nielsen identities
We present some comments concerning the validity of the Nielsen identities
for renormalizable theories quantized in general linear covariant gauges in a
context of compact gauge Lie groups.Comment: 5 pages, Revtex, eq.(8) rewritten as properly suggested by the
referee, one reference updated, final version to appear in Phys.Lett.
Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: -wave bipolarons
A Lorentz invariant version of a mass-gap graphene-like planar quantum
electrodynamics, the parity-preserving massive QED,
exhibits attractive interaction in low-energy
electron-polaron--electron-polaron -wave scattering, favoring quasiparticles
bound states, the -wave bipolarons.Comment: 6 pages, two figures, references adde
Scale Invariance in a Non-Abelian Chern-Simons-Matter Model
The general method of reduction in the number of coupling parameters is
applied in a Chern-Simons-matter model with several independent couplings. We
claim that considering the asymptotic region, and expressing all dimensionless
coupling parameters as functions of the Chern-Simons coupling, it is possible
to show that all -functions vanish to any order of perturbative series.
Therefore, the model is asymptotically scale invariant.Comment: 8 pages, Latex2e, title changed, section 2 withdrawn and one
reference added. To appear in Phys.Lett.
No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences
The issue intensively claimed in the literature on the generation of a
CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections
owing to a CPT violating interaction -- the axial coupling of fermions with a
constant vector field b_\m -- is mistaken. The presence of massless gauge
field triggers IR divergences that might show up from the UV subtractions,
therefore, so as to deal with the (actual physical) IR divergences, the
Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL
renormalization method, has to be adopted. The proof on the non generation of
such a Chern-Simons-like term is done, independent of any kind of
regularization scheme, at all orders in perturbation theory.Comment: In honor of Prof. Manfred Schweda (1939-2017). Work presented at the
XXXVIII National Meeting on Particle Physics and Fields, September 18-22,
2017 - Passa Quatro - Minas Gerais - Brazil. Reference [46] correcte
Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type
We reinvestigate the twisted N=4 supersymmetry present in Schwarz type
topological field models. We show that Chern-Simons theory in three dimensions
can be untwisted to a kind of sigma-model with reversed statistics only in the
free case. By dimensional reduction we define then the two-dimensional
BF-model. We establish an analog result concerning the untwisting. As a
consequence of the definition through dimensional reduction we find new
fermionic scalar symmetries that have been overlooked so far in the literature.Comment: 12 pages, no figure, Late
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