Expansion of the Yang-Mills Hamiltonian in spatial derivatives and glueball spectrum
by
Hans-Peter Pavel(TU Darmstadt / JINR Dubna)
→
Europe/Berlin
313
313
Description
After a general review of the experimental and theoretical
status of the physics of glueballs, a new theoretical method
for the calculation of the glueball spectrum is presented.
Using the symmetric gauge \epsilon_ijk A_jk =0, a strong coupling
expansion of the SU(2) Yang-Mills Hamiltonian is carried out
in the form of an expansion in the number of spatial derivatives.
Introducing an infinite spatial lattice with box length a,
a systematic expansion of the Hamiltonian in \lambda=g^(-2/3)
is obtained, 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 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. Its relation to the renormalisation of
the coupling constant in the IR is discussed, indicating the absence
of infrared fixed points.
