On how to complete the Dynamical Generation of Quark-Level Linear Sigma Model like Theories beyond one Loop
Abstract
Description
A self-consistent strategy is proposed to complete in a renormalization scheme independent way the dynamical generation of Quark-Level Linear Sigma Model like Lagrangean theories beyond one loop like the theories of strong and electroweak interactions. The present discussion refers for simplicity to scalar and pseudoscalar degrees of freedom only while disregarding yet - without loss of generality - vector and axial vector degrees of freedom. Moreover points the discussion to approximations underlying dimensional and implicit regularization as presently used.
20 pages, 4 figures; manuscript prepared on the occasion of M.D. Scadron's 70th birthday on February 12, 2008, to be celebrated in the Workshop "Scalar Mesons and Related Topics" (Scadron70) during February 11-16,2008, at the IST, Lisbon, Portugal; revised manuscript corrected for an obvious typo in Eq. (27)
20 pages, 4 figures; manuscript prepared on the occasion of M.D. Scadron's 70th birthday on February 12, 2008, to be celebrated in the Workshop "Scalar Mesons and Related Topics" (Scadron70) during February 11-16,2008, at the IST, Lisbon, Portugal; revised manuscript corrected for an obvious typo in Eq. (27)