Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional
arXiv:1001.1486 · doi:10.1103/PhysRevD.81.085030
Abstract
We study a gauge-invariant variational framework for the Yang-Mills vacuum wave functional. Our approach is built on gauge-averaged Gaussian trial functionals which substantially extend previously used trial bases in the infrared by implementing a general low-momentum expansion for the vacuum-field dispersion (which is taken to be analytic at zero momentum). When completed by the perturbative Yang-Mills dispersion at high momenta, this results in a significantly enlarged trial functional space which incorporates both dynamical mass generation and asymptotic freedom. After casting the dynamics associated with these wave functionals into an effective action for collections of soft vacuum-field orbits, the leading infrared improvements manifest themselves as four-gradient interactions. Those turn out to significantly lower the minimal vacuum energy density, thus indicating a clear overall improvement of the vacuum description. The dimensional transmutation mechanism and the dynamically generated mass scale remain almost quantitatively robust, however, which ensures that our prediction for the gluon condensate is consistent with standard values. Further results include a finite group velocity for the soft gluonic modes due to the higher-gradient corrections and indications for a negative differential color resistance of the Yang-Mills vacuum.
47 pages, 5 figures (vs2 contains a few minor stylistic adjustments to match the published version)
References in corpus (13)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- Holographic glueball structure
- Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
- Glueball matrix elements: a lattice calculation and applications
- The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
- Sizes of Lightest Glueballs in SU(3) Lattice Gauge Theory
- The Wilson loop from a Dyson equation
- Glueball correlators as holograms
- Gauge-invariant soft modes in Yang-Mills theory
- Amplitudes in pp and p-pbar scattering
- Chaotic thermalization in Yang-Mills-Higgs theory on a spacial lattice