2011/12/22 by Forkel, Hilmar
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1112.5476
We study gauge-invariant approximations to the Yang-Mills vacuum wave functional in which asymptotic freedom and a detailed description of the infrared dynamics are encoded through squeezed core states. After variationally optimizing these trial functionals, dimensional transmutation, gluon condensation and a dynamical mass gap of the expected magnitude emerge transparently. The dispersion properties of the soft gauge modes are modified by higher-gradient interactions and suggest a negative differential color resistance of the Yang-Mills vacuum. Casting the soft-mode dynamics into the form of an effective action for gauge-invariant collective fields, furthermore, allows to identify novel infrared degrees of freedom. The latter are gauge-invariant saddle-point fields which summarize dominant and universal contributions from various gauge-field orbits to all amplitudes. Their analysis provides new insights into how the vacuum gluon fields generate gauge-invariant excitations. Examples include a dynamical size stabilization mechanism for instantons and merons, a gauge-invariant representation of their effects as well as a new physical interpretation for Faddeev-Niemi knots.