Prompt multigluon production in high-energy collisions from singular Yang-Mills solutions

Nonperturbative parton-parton scattering is studied using the Landau method. Specific singular O(3)-symmetric solutions to the Euclidean Yang-Mills equations are discussed, with instanton dynamics incorporated in the overlap between incoming and vacuum fields. We derive a high-energy solution at small times, and assess the gluonic state produced at the turning point (escape point to Minkowski space-time). We follow the solution as it escapes to Minkowski space and assess its outgoing gluon spectrum. The solution is found to follow from the Yang-Mills sphaleron problem studied recently through a simple rescaling. We also argue, by evaluating the number of incoming gluons for the same singular solution, that this scaling is in fact more general and presumably describes the energy dependence of the spectra and multiplicities at all energies.