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One of the most important results obtained for Yang-Mills theory is asymptotic freedom.
It is note the exact one for a supersymmetric Yang-Mills theory.
It was proved in this way that Yang-Mills theory develops a mass gap.
He has also written on Yang-Mills theory, quantum information, and mirror symmetry.
This implies that Yang-Mills theory is not renormalizable for dimensions greater than four.
He is also known for research work in superstring theory and Yang-Mills theory.
However it also led to the development of a Yang-Mills theory on a noncommutative torus.
Despite this, the dual theory is still a nonabelian Yang-Mills theory.
The problem is to establish rigorously the existence of the quantum Yang-Mills theory and a mass gap.
Neither of these fit with Yang-Mills theory.
Confinement seems to be the biggest issue in Yang-Mills theory for which instantons have no answer whatsoever.
The dynamics of such a theory are thus very different from that of ordinary Yang-Mills theory.
Yang-Mills theory has the property of being asymptotically free in the large energy limit (ultraviolet limit).
Renormalization of Yang-Mills theory is a major achievement of twentieth century physics.
Such generalizations are often called Yang-Mills theories.
There are gauge theories, such as Yang-Mills theory, in which the Lie group is not abelian.
But in the 1970's, physicists began to realize that the Yang-Mills theories might perfectly describe all interactions between fundamental particles.
In such a case, the theory is often referred to as a Yang-Mills theory, and is sometimes taken to be synonymous.
The above is valid for a Yang-Mills theory with SU(2) as gauge group.
A method of quantizing the Yang-Mills theory is by functional methods, i.e. path integrals.
He is an expert in Yang-Mills theory and is known for the Brown-Gitler spectrum.
He would work on the same subject Veltman was working on, the renormalization of Yang-Mills theories.
He further refined his methods for Yang-Mills theories with Veltman (who went back to Geneva).
This Yang-Mills theory describes interacting vector bosons, like the photon of electromagnetism.
In nonabelian Yang-Mills theories, and where D is the exterior covariant derivative.