103 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
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
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
Algebraic Renormalization of Parity-Preserving QED_3 Coupled to Scalar Matter II: Broken Case
In this letter the algebraic renormalization method, which is independent of
any kind of regularization scheme, is presented for the parity-preserving QED_3
coupled to scalar matter in the broken regime, where the scalar assumes a
finite vacuum expectation value, . The model shows to be stable
under radiative corrections and anomaly free.Comment: 9 pages, latex, no figure
An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3
A rigorous algebraic proof of the full finiteness in all orders of
perturbation theory is given for the Yang-Mills-Chern-Simons theory in a
general three-dimensional Riemannian manifold. We show the validity of a trace
identity, playing the role of a local form of the Callan-Symanzik equation, in
all loop orders, which yields the vanishing of the beta-functions associated to
the topological mass and gauge coupling constant as well as the anomalous
dimensions of the fields.Comment: 5 pages, revte
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