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Abstract: We compute the Green function of the massless scalar field theory in theinfrared till the next-to-leading order, providing a fully covariant strongcoupling expansion. Applying Callan-Symanzik equation we obtain the exactrunning coupling for this case by computing the beta function. This result isapplied using a recently proved mapping theorem between a massless scalar fieldtheory and Yang-Mills theory. This beta function gives a running coupling goingto zero as $p^4$ in agreement with lattice results presented in Boucaud et al.JHEP 0304 2003 005 and showing that the right definition of the runningcoupling for a Yang-Mills theory in the infrared is given in a MOM scheme. Theemerging scenario is supporting a quantum field theory based on instantons.



Autor: Marco Frasca

Fuente: https://arxiv.org/







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