Sigma Mass in the Large N Limit of QCD
Abstract
We study the leading contribution to the scalar and the pseudoscalar twopoint function in the large N expansion of QCD using the worldline techniques. We find that in this limit there exists a relationship between these two Green's functions which implies that for every massive pseudoscalar meson there exists a scalar meson of identical mass. This is true even when chiral symmetry is spontaneously broken. The relationship between the Green's function further suggests that in the planar limit the sigma mass must be identical to the eta mass. We also discuss the relevance of these results for the quenched lattice QCD simulations and for hadron phenomenology.
 Publication:

arXiv eprints
 Pub Date:
 May 2004
 arXiv:
 arXiv:hepth/0405028
 Bibcode:
 2004hep.th....5028V
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages, LaTeX