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Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group

Niklas Rasch, Aleksandr N. Mikheev, Thomas Gasenzer

SciPost Phys. Core 7, 066 (2024) · published 27 September 2024

Abstract

Wilson's renormalization-group approach to the weakly-interacting single-component Bose gas is discussed within the symmetry-broken, condensate phase. Extending upon the work by Bijlsma and Stoof, wave-function renormalization of the temporal derivative contributions to the effective action is included in order to capture sound-like quasiparticle excitations with wave lengths larger than the healing-length scale. By means of a suitable rescaling scheme we achieve convergence of the coupling flows, which serve as a means to determine the condensate depletion in accordance with Bogoliubov theory, as well as the interaction-induced shift of the critical temperature.


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