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Functional Integration on Paracompact Manifolds
Pierre Grangé, Ernst Werner
In 1948 Feynman introduced functional integration. Long ago the problematic aspect of measures in the space of fields was overcome with the introduction of volume elements in Proba…
Quantum Fields as Operator Valued Distributions and Causality
Pierre Ca Grange, Ernst Werner
Quantum Field Theory with fields as Operator Valued Distributions with adequate test functions, -the basis of Epstein-Glaser approach known now as Causal Perturbation Theory-, is r…
UV and IR behaviour in QFT and LCQFT with fields as Operator Valued Distributions:Epstein and Glaser revisited
Pierre Ca Grange, Ernst Werner
Following Epstein-Glaser's work we show how a QFT formulation based on operator valued distributions (OPVD) with adequate test functions treats original singularities of propagator…
QED Fermi-Fields as Operator Valued Distributions and Anomalies
Pierre Ca Grange, Ernst Werner
The treatment of fields as operator valued distributions (OPVD) is recalled with the emphasis on the importance of causality following the work of Epstein and Glaser. Gauge invaria…
Fields on Paracompact Manifold and Anomalies
Pierre Grange, Ernst Werner
In Continuum Light Cone Quantization (CLCQ) the treatment of scalar fields as operator valued distributions and properties of the accompanying test functions are recalled. Due to t…