90 citations · 1.1k across the 81 of their papers we have counts for
14 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…
Measuring a QED cross section via a witness particle
Jonas B. Araujo, B. Hiller, I. G. da Paz +2
We consider a QED scattering (), in which is initially entangled with a third particle () that does not participate directly in the scattering. The effect…
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…
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…
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…
Explicit chiral symmetry breaking and the 1/N expansion in models with multi-fermion interactions
Alexander A. Osipov, Brigitte Hiller, Alex H. Blin
Explicit chiral symmetry breaking is a natural feature of many QCD inspired models with multi-quark interactions. To carry out the 1/N expansion of these theories, one integrates o…
Path Integral Bosonization of the 't Hooft Determinant: Quasiclassical Corrections
Alexander A. Osipov, Brigitte Hiller
The many-fermion Lagrangian which includes the 't Hooft six-quark flavor mixing interaction (N_f=3) and the U_L(3)\times U_R(3) chiral symmetric four-quark Nambu -- Jona-Lasinio (N…
Generalized Heat Kernel Coefficients for a New Asymptotic Expansion
Alexander A. Osipov, Brigitte Hiller
The method which allows for asymptotic expansion of the one-loop effective action W=ln det A is formulated. The positively defined elliptic operator A= U + M^2 depends on the exter…
Comparing Implicit, Differential, Dimensional and BPHZ Renormalisation
M. Sampaio, A. P. Baeta Scarpelli, B. Hiller +3
We compare a momentum space implicit regularisation (IR) framework with other renormalisation methods which may be applied to dimension specific theories, namely Differential Renor…
Large Mass Invariant Asymptotics of the Effective Action
Alexander A. Osipov, Brigitte Hiller
We study the large mass asymptotics of the Dirac operator with a nondegenerate mass matrix m={diag}(m_1,m_2,m_3) in the presence of scalar and pseudoscalar background fields taking…
Inverse Mass Expansion of the One-Loop Effective Action
Alexander A. Osipov, Brigitte Hiller
A method is described for the development of the one-loop effective action expansion as an asymptotic series in inverse powers of the fermion mass. The method is based on the Schwi…
Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
A. P. Baeta Scarpelli, M. Sampaio, M. C. Nemes +1
This is the second in a series of two contributions in which we set out to establish a novel momentum space framework to treat field theoretical infinities in perturbative calculat…