Yang-Mills Theory and Non-Linear Sigma Model from Higher Dimensional Gravity

Details Yang-Mills Theory and Non-Linear Sigma Model from Higher Dimensional Gravity Yang-Mills Theory and Non-Linear Sigma Model from Higher Dimensional Gravity

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1059g&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

The renormalization group equations of the Yang-Mills theory and non-linear sigma model are examined in the non-critical string theory from the framework of the holography. Under a simple ansatz for the tachyon, we could find two kinds of asymptotic-free solutions for the Yang-Mills theory, and we obtain quark-confinement potential from these solutions. The solution obtained for non-linear sigma model shows an ultra-violet fixed point at a finite coupling constant.

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