Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-30
Phys.Lett.B685:353-364,2010
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, misprint in section "References" corrected, final version published in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2010.02.004
A strong coupling expansion of the SU(2) Yang-Mills quantum Hamiltonian is carried out in the form of an expansion in the number of spatial derivatives, using the symmetric gauge \epsilon_{ijk} A_{jk}=0. Introducing an infinite lattice with box length a, I obtain a systematic strong coupling expansion of the Hamiltonian in \lambda\equiv g^{-2/3}, with the free part being the sum of Hamiltonians of Yang-Mills quantum mechanics of constant fields for each box, and interaction terms of higher and higher number of spatial derivatives connecting different boxes. The corresponding deviation from the free glueball spectrum, obtained earlier for the case of the Yang-Mills quantum mechanics of spatially constant fields, is calculated using perturbation theory in \lambda. As a first step, the interacting glueball vacuum and the energy spectrum of the interacting spin-0 glueball are obtained to order \lambda^2. Its relation to the renormalisation of the coupling constant in the IR is discussed, indicating the absence of infrared fixed points.
No associations
LandOfFree
Expansion of the Yang-Mills Hamiltonian in spatial derivatives and glueball spectrum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Expansion of the Yang-Mills Hamiltonian in spatial derivatives and glueball spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Expansion of the Yang-Mills Hamiltonian in spatial derivatives and glueball spectrum will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-34162