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Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas
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Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas
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We investigate the spectral function of the Higgs mode in a two dimensional Bose gas, by using the effective field theory in the zero temperature limit. Our approach explains the experimental feature that the peak of the spectral function is a soft continuum rather than a sharp peak, broadened and vanishing in the superfluid phase, which cannot be explained in terms of the $O(2)$ model. We also find that the scalar susceptibility is the same as the longitudinal susceptibility.
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