12 papers · 1 filter
The Renormalization of the Non-Abelian Gauge Theories in the Causal Approach
Dan Radu Grigore
We consider the gauge invariance of the standard Yang-Mills model in the framework of the causal approach of Epstein-Glaser and Scharf and determine the generic form of the anomali…
Scale Invariance in the Causal Approach to Renormalization Theory
Dan Radu Grigore
The dilation invariance is studied in the framework of Epstein-Glaser approach to renormalization theory. Some analogues of the Callan-Symanzik equations are found and they are app…
Gauge Invariance of the Quantum Electrodynamics in the Causal Approach to Renormalization Theory
Dan Radu Grigore
We present an extremely simple solution to the renormalization of quantum electrodynamics based on Epstein-Glaser approach to renormalization theory.
On the Quantization of the Gravitational Field
Dan Radu Grigore
We present a new point of view on the quantization of the gravitational field, namely we use exclusively the quantum framework of the second quantization. More explicitly, we take…
On the Uniqueness of the Non-Abelian Gauge Theories in Epstein-Glaser Approach to Renormalisation Theory
Dan Radu Grigore
We generalise a result of Aste and Scharf saying that, under some reasonable assumptions, consistent with renormalisation theory, the non-Abelian gauge theories describes the only…
Trivial Second-Order Lagrangians in Classial Field Theory
Dan Radu Grigore
Trivial second-order Lagrangians are studied and a complete description of the dependence on the second-order derivatives is given. This extends previous work of Olver and others.…