Abstract
We study a nearly critical superfluid system from two complementary approaches. Within the first approach, we formulate a Schwinger-Keldysh effective field theory (EFT) for the system when it is located slightly above the critical temperature. The dynamical variables in the EFT construction are two scalars: a neutral scalar associated with the conserved U(1) charge, and a complex scalar describing the order parameter. The set of symmetries, particularly the dynamical Kubo-Martin-Schwinger (KMS) symmetry and chemical shift symmetry, strictly constrains the form of EFT action. Within the second approach, using the holographic Schwinger-Keldysh technique, we derive the effective action for a “microscopic” holographic superfluid, confirming the EFT construction. A systematic inclusion of non-Gaussianity is one highlight of present study.
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Acknowledgments
YB was supported by the National Natural Science Foundation of China (NSFC) under the grant No. 12375044. XG and ZL were partially supported by NSFC under Grant Nos 12375065 and 12005150.
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Bu, Y., Gao, H., Gao, X. et al. Nearly critical superfluid: effective field theory and holography. J. High Energ. Phys. 2024, 104 (2024). https://doi.org/10.1007/JHEP07(2024)104
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DOI: https://doi.org/10.1007/JHEP07(2024)104