The ratio gA/gV in cavity QCD

BRS invariant quantum chromodynamics in a spherical cavity is developed using canonical quantization. The weak vector and axial form factors are defined, employing a classical external W- field. The Gell-Mann and Low theorem is extended to include non-diagonal matrix elements and degenerate perturbation theory. The Sucher form of the Gell-Mann and Low theorem is employed to calculate corrections of order GFg² in the weak and strong coupling constants to gA and gv for neutron beta decay. Up and down quarks are assumed massless. The gauge-independent divergences from the loop diagrams cancel each other and can be regularized dimensionally, making renormalization unnecessary. We find that the weak vector and axial current coupling constants are respectively: 9v = 1.0000 gA = 1.0883 + 0.2425 αs', where the preferred value of αs = 2.2 in the M.I.T. bag model gives gA = 1.62.

Grantor dc:publisher.institution

Department of Physics

Year dc:date.issued

1991

Author dc:creator

• Page, Philip R

Advisor dc:contributor.advisor

• Viollier, Raoul D

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/17390

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/17390