SU(2) Yang-Mills quantum mechanics of spatially constant fields
| dc.creator | Pavel, H. -P. | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T10:22:25Z | |
| dc.date.available | 2026-07-07T10:22:25Z | |
| dc.description | As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of a positive definite symmetric (3 x 3) matrix S. Representing the eigenvalues of S in terms of elementary symmetric polynomials, the eigenstates of the corresponding harmonic oscillator problem can be calculated analytically and used as orthonormal basis of trial states for a variational calculation of the Yang-Mills quantum mechanics. In this way high precision results are obtained in a very effective way for the lowest eigenstates in the spin-0 sector as well as for higher spin. Furthermore I find, that practically all excitation energy of the eigenstates, independently of whether it is a vibrational or a rotational excitation, leads to an increase of the expectation value of the largest eigenvalue <ϕ_3>, whereas the expectation values of the other two eigenvalues, <ϕ_1> and <ϕ_2>, and also the component <B_3> = g<ϕ_1ϕ_2> of the magnetic field, remain at their vacuum values. | |
| dc.description | 7 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701283 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701283 | |
| dc.identifier | Phys.Lett.B648:97-106,2007 | |
| dc.identifier | doi:10.1016/j.physletb.2007.02.055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/175509 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | SU(2) Yang-Mills quantum mechanics of spatially constant fields | |
| dc.type | text |