Peculiarities in the Spectrum of the Adjoint Scalar Kinetic Operator in Yang-Mills Theory

Abstract

We study the spectrum of low-lying eigenmodes of the kinetic operator for scalar particles, in the color adjoint representation of Yang-Mills theory. The kinetic operator is the covariant Laplacian, plus a constant which serves to renormalize mass. In the pure gauge theory, our data indicates that the interval between the lowest eigenvalue and the mobility edge tends to infinity in the continuum limit. On these grounds, it is suggested that the perturbative expression for the scalar propagator may be misleading even at distance scales that are small compared to the confinement scale. We also measure the density of low-lying eigenmodes, and find a possible connection to multi-critical matrix models of order m=1.

arXiv comment9 pages, 14 figures

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Cited by in corpus (10)

• Chiral phase transition in lattice QCD as a metal-insulator transition
• Fourth-order QCD renormalization group quantities in the {\rm{V}}-scheme and the relation of the $\beta$-function to the Gell-Mann--Low function in QED
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• The factorisation of glue and mass terms in SU(N) gauge theories
• The quenched SU(2) fundamental scalar propagator in minimal Landau gauge
• Center vortices as rigid strings
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Shrinking fermionic modes, on the lattice and in the continuum
• Nonperturbative physics at short distances