2008•Low Temperature PhysicsRequires access
“Infrared” singularities in the field theory of superfluidity and temperature corrections to the first and second sound velocities in helium II
É. A. Pashitskiı̆, S. I. Vilchinskiĭ, Artem Chumachenko
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Abstract
Higher-order corrections to the self-energy parts of the field theory of superfluidity are obtained using V. N. Popov’s perturbation theory modified for a strongly interacting Bose system and free of infrared divergences. It is shown that the calculation of these corrections reduces to solving kinetic-type equations. Using these equations as a basis, the temperature corrections to the first and second sound velocities in the superfluid Bose liquid He4 are obtained. The temperature dependence of the density of the superfluid component of the Bose liquid He4 is calculated on the basis of a model of the superfluid component as a superposition of interaction-suppressed single-particle and intense pair condensates.