Normalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group

Simple item page
dc.creatorKac, V. G.
dc.creatorSmilga, A. V.
dc.date1999-08-13
dc.date1999-09-15
dc.date.accessioned2026-07-07T12:03:55Z
dc.date.available2026-07-07T12:03:55Z
dc.descriptionWe study the question of existence and the number of normalized vacuum states in N = 4 super-Yang-Mills quantum mechanics for any gauge group. The mass deformation method is the simplest and clearest one. It allowed us to calculate the number of normalized vacuum states for all gauge groups. For all unitary groups, #(vac) = 1, but for the symplectic groups [starting from Sp(6) ], for the orthogonal groups [starting from SO(8)] and for all the exceptional groups, it is greater than one. We also discuss at length the functional integral method. We calculate the ``deficit term'' for some non-unitary groups and predict the value of the integral giving the ``principal contribution''. The issues like the Born-Oppenheimer procedure to derive the effective theory and the manifestation of the localized vacua for the asymptotic effective wave functions are also discussed.
dc.description41 pages, 5 Postscript figures. Minor corrections. References and some further illustrative examples added
dc.identifierhttps://arxiv.org/abs/hep-th/9908096
dc.identifierhttp://arxiv.org/abs/hep-th/9908096
dc.identifierNucl.Phys.B571:515-554,2000
dc.identifierdoi:10.1016/S0550-3213(99)00716-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207956
dc.subjectHigh Energy Physics - Theory
dc.titleNormalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group
dc.typetext

Files

Collections

arXiv