A conjecture on the infrared structure of the vacuum Schrodinger wave functional of QCD
| dc.creator | Cornwall, John M. | |
| dc.date | 2007-02-07 | |
| dc.date.accessioned | 2026-07-07T11:03:13Z | |
| dc.date.available | 2026-07-07T11:03:13Z | |
| dc.description | The Schrodinger wave functional for the d=3+1 SU(N) vacuum is a partition function constructed in d=4; the exponent 2S in the square of the wave functional plays the role of a d=3 Euclidean action. We start from a gauge-invariant conjecture for the infrared-dominant part of S, based on dynamical generation of a gluon mass M in d=4. We argue that the exact leading term, of O(M), in an expansion of S in inverse powers of M is a d=3 gauge-invariant mass term (gauged non-linear sigma model); the next leading term, of O(1/M), is a conventional Yang-Mills action. The d=3 action that is the sum of these two terms has center vortices as classical solutions. The d=3 gluon mass, which we constrain to be the same as M, and d=3 coupling are related through the conjecture to the d=4 coupling strength, but at the same time the dimensionless ratio in d=3 of mass to coupling squared can be estimated from d=3 dynamics. This allows us to estimate the QCD coupling $α_s(M^2)$ in terms of this strictly d=3 ratio; we find a value of about 0.4, in good agreement with an earlier theoretical value but a little low compared to QCD phenomenology. The wave functional for d=2+1 QCD has an exponent that is a d=2 infrared-effective action having both the gauge-invariant mass term and the field strength squared term, and so differs from the conventional QCD action in two dimensions, which has no mass term. This conventional d=2 QCD would lead in d=3 to confinement of all color-group representations. But with the mass term (again leading to center vortices), N-ality = 0 mod N representations are not confined. | |
| dc.description | 15 pages, no figures, revtex4 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0702054 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0702054 | |
| dc.identifier | Phys.Rev.D76:025012,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.025012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/188512 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | A conjecture on the infrared structure of the vacuum Schrodinger wave functional of QCD | |
| dc.type | text |