Abstract
Properties of the quantized SU(n) Yang-Mills fields, for n = 2, 3, and 4, have been studied numerically. We apply the Hamiltonian formalism to the continuum theory, with a truncated momentum expansion in a finite volume, and have examined states in the vacuum sector using variational methods in the Coulomb gauge. The results depend on the strength of the interaction constant ..cap alpha.., with a transition at n..cap alpha..approx.1. For small ..cap alpha.., there is a gap between excited-state energies and the vacuum energy, but the excited 0/sup + +/ states correspond to pairs of weakly interacting transverse gluons. For larger ..cap alpha.., the excited states are associated with a collective degree of freedom and can be identified with a glueball. There is no evidence for the existence of an instability associated with magnetic interactions
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.