145 citations · 667 across the 32 of their papers we have counts for
10 papers · 1 filter
A brief review of Implicit Regularization and its connection with the BPHZ theorem
Dafne Carolina Arias-Perdomo, Adriano Cherchiglia, Brigitte Hiller +1
Quantum Field Theory, as the keystone of particle physics, has allowed great insights to deciphering the core of Nature. Despite its striking success, by adhering to local interact…
Supercurrent anomaly and gauge invariance in N=1 supersymmetric Yang-Mills theory
Y. R. Batista, Brigitte Hiller, Adriano Cherchiglia +1
We analyse Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-abelian Yang-Mills theory. For the sake of simp…
On the Bose symmetry and the left- and right-chiral anomalies
J. S. Porto, A. R. Vieira, A. L. Cherchiglia +2
It is generally assumed that in order to preserve Bose symmetry in the left- (or right-chiral) current it is necessary to equally distribute the chiral anomaly between the vectoria…
algebra ambiguities in Feynman amplitudes: momentum routing invariance and anomalies in and
A. C. D. Viglioni, A. L. Cherchiglia, A. R. Vieira +2
We address the subject of chiral anomalies in two and four dimensional theories. Ambiguities associated with the algebra within divergent integrals are identified, even thoug…
Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
A. R. Vieira, A. L. Cherchiglia, Marcos Sampaio
We address the study of gauge invariance in the Standard Model Extension which encompasses all Lorentz-violating terms originated by spontaneous symmetry breaking at the Planck sca…
Subtleties in the beta function calculation of N=1 supersymmetric gauge theories
A. L. Cherchiglia, Marcos Sampaio, B. Hiller +1
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". Th…
Arbitrariness in the gravitational Chern-Simons-like term induced radiatively
J. C. C. Felipe, A. R. Vieira, A. L. Cherchiglia +2
Lorentz violation through a radiatively induced Chern-Simons-like term in a fermionic theory embedded in linearized quantum gravity with a Lorentz- and CPT-violating axial-vector t…
(Un)determined finite regularization dependent quantum corrections: the Higgs decay into two photons and the two photon scattering examples
A. L. Cherchiglia, L. A. Cabral, M. C. Nemes +1
We investigate the appearance of arbitrary, regularization dependent parameters introduced by divergent integrals in two a priori finite but superficially divergent amplitudes: the…
Momentum routing invariance in Feynman diagrams and quantum symmetry breakings
L. C. Ferreira, A. L. Cherchiglia, Brigitte Hiller +2
We illustrate with examples that quantum symmetry breakings in perturbation theory are connected to breakdown of momentum routing invariance (MRI) in the loops of a Feynman diagram…
Systematic Implementation of Implicit Regularization for Multi-Loop Feynman Diagrams
A. L. Cherchiglia, Marcos Sampaio, M. C. Nemes
Implicit Regularization (IReg) is a candidate to become an invariant framework in momentum space to perform Feynman diagram calculations to arbitrary loop order. In this work we pr…