CHROMOGRAVITY - QCD-INDUCED DIFFEOMORPHISMS

Citation
Y. Neeman et D. Sijacki, CHROMOGRAVITY - QCD-INDUCED DIFFEOMORPHISMS, International journal of modern physics A, 10(30), 1995, pp. 4399-4412
Citations number
39
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
ISSN journal
0217751X
Volume
10
Issue
30
Year of publication
1995
Pages
4399 - 4412
Database
ISI
SICI code
0217-751X(1995)10:30<4399:C-QD>2.0.ZU;2-C
Abstract
We expand the QCD gluon field Ba around a constant ''pure gauge'' solu tion N-mu(a) in the IR sector, i.e. B-mu(a)(X) = N(mu)a + A(mu)(a)(x) and provide a mathematical definition for an ''IR limit'' in which the frequencies of the fluctuating field A(mu)(a) (x) vanish. We prove th at in this limit, SU(3)(color) garmations become equivalent to space-t ime diffeomorphisms. A gravity-like contribution is then shown to emer ge from the overall ''n-gluon exchange'' component in the expansion of the generating functional of QCD Green functions, with the two-gluon term acting like the metric field in gravity. This QCD-induced 'Lchrcm ogravity'' provides an effective long range action, i.e. longer-ranged than the contribution of quark-antiquark (meson) exchanges. We conjec ture chromogravity to be responsible for many of the features of the h adron spectrum and of color confinement, issues for which there is as yet no proof in QCD (including lattice calculations), beyond general q ualitative arguments. The method exhibits a smooth transition to the p erturbative and semiperturbative treatment of high energy hadron scatt ering, including the emergence of the Pomeranchuk trajectory.