Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-17
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, no figures. This completes the results obtained in hep-th/0511068. Claims of instability of the perturbation solution
Scientific paper
We prove that in the limit of the coupling going to infinity a Yang-Mills theory is equivalent to a $\lambda\phi^4$ theory with the dynamics ruled just by a homogeneous equation. This gives explicitly the Green function and the mass spectrum proving that such gauge theories are confining. The scalar glueball spectrum is then proven to be in fair agreement with lattice QCD computations but giving a different ground state coinciding with the $f_0(600)$ light unflavored meson.
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