Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover   We discuss the derivation of a low-energy effective field theory of phase
(Goldstone) and amplitude (Higgs) modes of the pairing field from a microscopic
theory of attractive fermions. The coupled equations for Goldstone and Higgs
fields are critically analyzed in the Bardeen-Cooper-Schrieffer (BCS) to
Bose-Einstein condensate (BEC) crossover both in three spatial dimensions and
in two spatial dimensions. The crucial role of pair fluctuations is
investigated, and the beyond-mean-field Gaussian theory of the BCS-BEC
crossover is compared with available experimental data of the two-dimensional
ultracold Fermi superfluid.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat