The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible four-gluon couplings as well as the gluon-ghost and ghost-ghost scattering kernels are neglected. The infrared behavior of gluon and ghost propagators is obtained analytically: The gluon propagator vanishes for small spacelike momenta whereas the ghost propagator diverges stronger than a massless particle pole. The numerical solutions are compared with recent lattice data for these propagators. The running coupling of the renormalization scheme approaches a fixed point, $\alpha_c \simeq 9.5$, in the infrared.Comment: 4 pages, 2 figures, Revtex; revised version accepted for publication in Physical Review Letter

Orbital anisotropy of magnetically distorted superfluid ³He-B

The orbital anisotropy of the magnetized superfluid B-phase of liquid ³He is investigated theoretically for arbitrary fields and temperatures. The behavior of freely rotating B-phase under the action of magnetic field is considered

Small-amplitude oscillations of magnetization accompanying long-lived spin-precession in 3He-B

Frequency spectrum of small-amplitude oscillations of magnetization against the background of coherently precessing (phase-correlated) spin modes in superfluid ³He placed in a strong magnetic field depends on the magnitude of spin polarization S and spin-orbit structure of dynamical ordered states. Spectrum of these oscillations is calculated for unconventional precessing modes in ³He-B characterized by S=S₀/2, where S₀ is the value of S at equilibrium

Small-amplitude oscillations of magnetization accompanying long-lived spin-precession in ³He-B

Frequency spectrum of small-amplitude oscillations of magnetization against the background of coherently precessing (phase-correlated) spin modes in superfluid ³He placed in a strong magnetic field depends on the magnitude of spin polarization S and spin-orbit structure of dynamical ordered states. Spectrum of these oscillations is calculated for unconventional precessing modes in ³He-B characterized by S=S₀/2, where S₀ is the value of S at equilibrium