Electronic Resource
Springer
The European physical journal
65 (1995), S. 487-503
ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We construct an effective Lagrangian for low energy hadronic interactions through an infinite expansion in inverse powers of the low energy cutoff Λχ of all possible chiral invariant non-renormalizable interactions between quarks and mesons degrees of freedom arising from the bosonization of a general Nambu-Jona Lasinio type Lagrangian including all multiquark effective interactions. We restrict our analysis to the leading terms in the 1N c expansion and to the divergent part of the resonance effective Lagrangian resulting from the integration over the quark degrees of freedom. Indeed, the effective expansion is in (Q 2/Λ χ 2 ) P ln(Λ χ 2 /Q 2) M and we show that, while the finite terms cannot be traced back to a finite number of non renormalizable interactions, the divergent ones of order (Q 2/Λ χ 2 ) ln(Λ χ 2 /Q 2) receive contributions from a finite set of 1/Λ χ 2 terms of the original quark-meson Lagrangian. These terms modify the behaviour of physical quantities in the intermediateQ 2 region. We explicitely discuss their relevance for the two point vector currents Green's function.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01556137
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