Since 1971 he has done work on renormalization theory.
2.
Connes and Kreimer have also defined Hopf algebras in this setting and have shown how they can be used to systematize standard computations in renormalization theory.
3.
Although the weak interaction was once described by Fermi's theory, the discovery of parity violation and renormalization theory suggested that a new approach was needed.
4.
Together with Henri Epstein, he found a new approach to renormalization theory called causal perturbation theory, where ultraviolet divergences are avoided in the calculation of Feynman diagrams by using mathematically well-defined quantities only.
5.
After the end of World War II more reliable and effective methods for dealing with infinities in QFT were developed, namely coherent and systematic rules for performing relativistic field theoretical calculations, and a general renormalization theory.
6.
In quantum field theory, he worked on phase transitions in low-temperature bosonic and fermionic systems, quantum field theory anomalies, dyons and magnetic monopoles in non-abelian gauge theories, and renormalization theory.
7.
A rigorous mathematical approach to renormalization theory is the so-called causal perturbation theory, where ultraviolet divergences are avoided from the start in calculations by performing well-defined mathematical operations only within the framework of distribution theory.
8.
He is known for the Rota & ndash; Baxter identity, and emanated from some of the fundamental results of the famous probabilist Frank Spitzer in random walk theory has received attention in fields as remote as renormalization theory in perturbative quantum field theory.
9.
Scalar fields are predicted by the Standard Model of particle physics'l and string theory, but an analogous problem to the cosmological constant problem ( or the problem of constructing models of cosmological inflation ) occurs : renormalization theory predicts that scalar fields should acquire large masses.
10.
Scalar fields are predicted by the " Standard Model of particle physics " and string theory, but an analogous problem to the cosmological constant problem ( or the problem of constructing models of cosmological inflation ) occurs : renormalization theory predicts that scalar fields should acquire large masses again due to zero-point energy.
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