Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
| dc.creator | Unsal, Mithat | |
| dc.creator | Yaffe, Laurence G. | |
| dc.date | 2008-03-03 | |
| dc.date | 2008-03-22 | |
| dc.date.accessioned | 2026-07-07T11:48:52Z | |
| dc.date.available | 2026-07-07T11:48:52Z | |
| dc.description | We examine a double trace deformation of SU(N) Yang-Mills theory which, for large $N$ and large volume, is equivalent to unmodified Yang-Mills theory up to $O(1/N^2)$ corrections. In contrast to the unmodified theory, large $N$ volume independence is valid in the deformed theory down to arbitrarily small volumes. The double trace deformation prevents the spontaneous breaking of center symmetry which would otherwise disrupt large $N$ volume independence in small volumes. For small values of $N$, if the theory is formulated on $\R^3 \times S^1$ with a sufficiently small compactification size $L$, then an analytic treatment of the non-perturbative dynamics of the deformed theory is possible. In this regime, we show that the deformed Yang-Mills theory has a mass gap and exhibits linear confinement. Increasing the circumference $L$ or number of colors $N$ decreases the separation of scales on which the analytic treatment relies. However, there are no order parameters which distinguish the small and large radius regimes. Consequently, for small $N$ the deformed theory provides a novel example of a locally four-dimensional pure gauge theory in which one has analytic control over confinement, while for large $N$ it provides a simple fully reduced model for Yang-Mills theory. The construction is easily generalized to QCD and other QCD-like theories. | |
| dc.description | 29 pages, expanded discussion of multiple compactified dimensions | |
| dc.identifier | https://arxiv.org/abs/0803.0344 | |
| dc.identifier | http://arxiv.org/abs/0803.0344 | |
| dc.identifier | Phys.Rev.D78:065035,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.065035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203033 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence | |
| dc.type | text |