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Examples

  • The proof uses beautiful physical intuition about the dynamics of non-abelian gauge theories in two dimensions.

    What is String Theory Good For (Part I)? « Imaginary Potential

  • This has been done so far only for gauge group U (1); the non-abelian cases remain.

    String Theory is Losing the Public Debate

  • The “funny region” - where time and space have no meaning - is handled (via a “dual” or “indirect” description) by a particular type of non-abelian gauge theory (for the non-expert: roughly the same sort of theory that, for example, describes how nuclei hold themselves together) which does not seem particularly exotic, despite the novel spacetime physics it allows them to get a handle on.

    At The Other Monastery

  • It has so far only been done for gauge group U (1); there is a partial result for U (1) X SU (2) but the general non-abelian case remains … A couple of places to look for more details would be hep-th/0102028 and hep-lat/0009033.

    Our First Guest Blogger - Lawrence Krauss

  • Politzer and Frank Wilczek simultaneously found that for a non-abelian gauge field theory the requirement of asymptotic freedom is satisfied if there are not too many quarks.

    Forces

  • The success of non-abelian gauge theories showed that all the interactions could be unified in a common framework.

    Forces

  • The discovery of asymptotic freedom opened up for a non-abelian gauge field theory for the interactions among quarks and it was called QuantumChromodynamics,

    Forces

  • The non-abelian gauge theory of electro-weak interaction had become a functioning theoretic machinery and it was possible, just as it had become for quantum electrodynamics 20 years previously, to start performing precise calculations.

    Press Release: The 1999 Nobel Prize in Physics

  • As opposed to the abelian variant, in which gauge transformations can be performed in any order, the result of the non-abelian depends on the order.

    Press Release: The 1999 Nobel Prize in Physics

  • His task was to help in the search for a method of renormalizing non-abelian gauge theories. 't

    Press Release: The 1999 Nobel Prize in Physics

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