65 citations · 341 across the 62 of their papers we have counts for
56 papers · 1 filter
Causal Perturbative Quantum Field Theory and the Standard Model
Dan-Radu Grigore
We consider the general framework of perturbative quantum field theory for the general Yang-Mills model including massless and massive vector fields and also scalar and Dirac field…
Spin 3/2 in the Causal Approach
Dan-Radu Grigore
We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model developped in [10] and consider the coupling with spin 3/2 particles. We will d…
Third Order Tree Contributions in the Causal Approach
Dan-Radu Grigore
We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model developed in [9] and prove that the tree contributions do not give anomalies. W…
Gravity in Causal Perturbative Quantum Field Theory
Dan-Radu Grigore
We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of…
Wick Theorem and Hopf Algebra Structure in Causal Perturbative Quantum Field Theory
Dan-Radu Grigore
We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model. We give a more precise version of the Wick theorem using Hopf algebra notation…
A New Formula for the Gauge Charge
D. R. Grigore
We present a new formula for the gauge charge in the causal formalism for the QCD case.
Anti-BRST in the Causal Approach
D. R. Grigore
It is known that the elimination of the anomalies in all orders of perturbation theory is an open problem. The constrains given by usual invariance properties and the Wess-Zumino i…
Factorization Formulas for Tree Amplitudes
D. R. Grigore
We present a coordinate space version of the factorization formula for the connected tree part of the chronological products. We consider a general framework and then we apply it f…
Triangle (Causal) Distributions in the Causal Approach
D. R. Grigore
The tensor Feynman amplitudes are reduced to scalar integrals by a procedure of Passarino and Veltman. We provide an alternative approach based on the causal formalism.
Third Order Anomalies in the Causal Approach
Dan Radu Grigore
We consider gauge models in the causal approach and study the third order of the perturbation theory. We are interested in the computation of the anomalies in this order of the per…
On the Super-Renormalizablity of Quantum Gravity in the Linear Approximation
Dan-Radu Grigore
We compute the one-loop contributions of the chronological products for massless gravity in the second order of the perturbation theory. We prove that the loop contributions are co…
Anomaly-Free Gauge Models: A Causal Approach
D. R. Grigore
The gauge invariance of some massless Yang-Mills models can be proved for a large class of groups using Polchinski flow equations approach. In this paper we provide an alternative…
Multi-Graviton Theories in the Causal Approach
Dan-Radu Grigore
The system of multi-gravitons has been considered before in the framework of functional formalism. We consider here the system of multi-gravitons in the causal formalism of quantum…
A Generalization of Gauge Invariance
Dan-Radu Grigore
We consider perturbative quantum field theory in the causal framework. Gauge invariance is, in this framework, an identity involving chronological products of the interaction Lagra…
Trivial Lagrangians in the Causal Approach
Dan-Radu Grigore
We prove the non-uniqueness theorem for the chronological products of a gauge model. We use a cohomological language where the cochains are chronological products, gauge invariance…
Yang-Mills Models in the Causal Approach: Perturbation Theory up to the Second Order
Dan-Radu Grigore
We consider the standard model up to the second order of the perturbation theory (in the causal approach) and derive the most general form of the interaction Lagrangian for an arbi…
The Higgs Sector in the Causal Approach
Dan Radu Grigore
We consider the electro-weak sector of the standard model up to the second order of the perturbation theory (in the causal approach) and derive the most general form of the interac…
Loop Anomalies in the Causal Approach
Dan-Radu Grigore
We consider gauge models in the causal approach and study one-loop contributions to the chronological products and the anomalies they produce. We prove that in order greater than 4…
Super-Renormalizablity of Yang-Mills Models in the Third Order of Perturbation Theory
Dan-Radu Grigore
We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only…
On the Super-Renormalizablity of Gauge Models in the Causal Approach
Dan-Radu Grigore
We consider some typical gauge models in the causal approach: Yang-Mills and pure massless gravity up to the second order of the perturbation theory. We prove that the loop contrib…
Off-Shell Fields and Quantum Anomalies
Dan Radu Grigore
We use the formalism of quantum off-shell fields for the case of pure Yang-Mills fields. In this formalism one can compute in a systematic way the second order anomalies of the tre…
The Interaction of Quantum Gravity with Matter
D. R. Grigore
The interaction of (linearized) gravitation with matter is studied in the causal approach up to the second order of perturbation theory. We consider the generic case and prove that…
Massive Yang-Mills Fields in Interaction with Gravity
D. R. Grigore, G. Scharf
We determine the most general form of the interaction between the gravitational field and an arbitrary Yang-Mills system of fields (massless and massive). We work in the perturbati…
Perturbative Gravity in the Causal Approach
Dan Radu Grigore
Quantum theory of the gravitation in the causal approach is studied up to the second order of perturbation theory. We prove gauge invariance and renormalizability in the second ord…