Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-22
Int.J.Mod.Phys.A23:211-232,2008
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, minor changes, to appear in Int. J. Mod. Phys. A
Scientific paper
10.1142/S0217751X08038226
Recently a perturbative theory has been constructed, starting from the Feynman rules of the nonlinear sigma model at the tree level in the presence of an external vector source coupled to the flat connection and of a scalar source coupled to the nonlinear sigma model constraint (flat connection formalism). The construction is based on a local functional equation, which overcomes the problems due to the presence (already at one loop) of non chiral symmetric divergences. The subtraction procedure of the divergences in the loop expansion is performed by means of minimal subtraction of properly normalized amplitudes in dimensional regularization. In this paper we complete the study of this subtraction procedure by giving the formal proof that it is symmetric to all orders in the loopwise expansion. We provide further arguments on the issue that, within our subtraction strategy, only two parameters can be consistently used as physical constants.
Bettinelli Daniele
Ferrari Ruggero
Quadri Andrea
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