[[UTAPwiki/セミナー/初期宇宙・相対論速報]]

* [#abbd60a4]
* Cosmological superfluids and phonons [#z8f6a28e]

**Kohei Kamada [#nc1e4e3a]
**Kohei Kamada [#wd31e2cf]

Spontaneous space-time symmetry breaking is now known to be a key to explore cosmology
such as inflation, dark energy, and dark matter. 
In this talk, I will introduce the way to understand the cosmological perturbation 
as the Nambu-Goldstone mode of the space-time symmetry breaking
and to construct their effective field theory, following the references [1,2]. 
I start from the brief introduction of the coset construction and inverse Higgs constraints, 
Then I discuss the way to understand the perturbation to be the phonons in superfluids, 
which is related to e.g., DBI and cuscuton
and construct their effective Lagrangian. 
If time allows, I will also discuss the appearance of other (unconventional) types of phonons. 

References
[1] Enrico Pajer, David Stefanyszyn, "Symmetric Superfluids", arXiv:1812.05133 
[2] Tanguy Grall, Sadra Jazayeri, David Stefanyszyn, "The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales”, arXiv:2005.12937 
[3] Sidney R. Coleman, J. Wess, Bruno Zumino,  “Structure of phenomenological Lagrangians. 1“,  Phys.Rev. 177 (1969) 2239-2247
[4] Curtis G. Jr. Callan, Sidney R. Coleman, J. Wess, Bruno Zumino,  “Structure of phenomenological Lagrangians. 1“,  Phys.Rev. 177 (1969) 2247-2250
[5] E.A. Ivanov, V.I. Ogievetsky, "The Inverse Higgs Phenomenon in Nonlinear Realizations”, Teor.Mat.Fiz. 25 (1975) 164-177, 
[6] D.T. Son, “Low-energy quantum effective action for relativistic superfluids”, hep-ph/0204199


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