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Simply Red Creative Commons License 2005-12-30 15:38:57 124

Ugyanez John Baez megfogalmazásában:

 

5. Existence and mass gap for Yang-Mills theory.

 

One of the great open problems of modern mathematical physics is whether the Standard Model of particle physics is mathematically consistent. It's not even known whether "pure" Yang-Mills theory - uncoupled to fermions or the Higgs - is a well-defined quantum field theory with reasonable properties. To make this question precise, people have formulated various axioms for a quantum field theory, like the so-called "Haag-Kastler axioms". The job of constructive quantum field theory is to mathematically study questions like whether we can construct Yang-Mills theory in such a way that it satisfies these axioms. But one really wants to know more: at the very least, existence of Yang-Mills theory coupled to fermions, together with a "mass gap" - i.e., a nonzero minimum mass for the particles formed as bound states of the theory (like protons are bound states of quarks).

 

Simply Red Creative Commons License 2005-12-30 15:28:25 122

Én nem értek hozzá, de találtam egy rövid összefoglalót erről. A probléma egyike az ú.n. milleniumi problémáknak.

 

Yang-Mills and Mass Gap

 

The laws of quantum physics stand to the world of elementary particles in the way that Newton's laws of classical mechanics stand to the macroscopic world. Almost half a century ago, Yang and Mills introduced a remarkable new framework to describe elementary particles using structures that also occur in geometry. Quantum Yang-Mills theory is now the foundation of most of elementary particle theory, and its predictions have been tested at many experimental laboratories, but its mathematical foundation is still unclear. The successful use of Yang-Mills theory to describe the strong interactions of elementary particles depends on a subtle quantum mechanical property called the "mass gap:" the quantum particles have positive masses, even though the classical waves travel at the speed of light. This property has been discovered by physicists from experiment and confirmed by computer simulations, but it still has not been understood from a theoretical point of view. Progress in establishing the existence of the Yang-Mills theory and a mass gap and will require the introduction of fundamental new ideas both in physics and in mathematics.

 

 

A hozzászólás:
dr_bubo Creative Commons License 2005-12-30 14:37:51 121

sziasztok

valaki el tudná magyarázni érthetően és viszonylag röviden mi az a "mass gap"? és mi köze a Yang-Mills-hez.

köszi
Bubo

Ha kedveled azért, ha nem azért nyomj egy lájkot a Fórumért!