%0 Generic %1 mistele2019chemical %A Mistele, Tobias %D 2019 %K capjc dark matter mond %T The role of the chemical potential in coupling superfluid dark matter to baryons %U http://arxiv.org/abs/1909.05710 %X Superfluid dark matter postulates that the centers of galaxies contain superfluid condensates. An important quantity regarding these superfluids is their chemical potential $ $. Here, we discuss two issues related to this chemical potential. First, there is no exactly conserved quantity associated with this chemical potential due to the symmetry-breaking baryon-phonon coupling. Second, $ $ is sometimes introduced by shifting the phonon field by $ t $ which -- again due to the symmetry-breaking baryon-phonon coupling -- introduces an explicit time dependence in the Lagrangian. We investigate under which conditions introducing a chemical potential is nevertheless justified and show how to correctly introduce it when these conditions are met. We further propose a model that recovers superfluid dark matter's zero-temperature equations of motion including a chemical potential even if the aforementioned conditions for justifying a chemical potential are not met.

@misc{mistele2019chemical, abstract = {Superfluid dark matter postulates that the centers of galaxies contain superfluid condensates. An important quantity regarding these superfluids is their chemical potential $ \mu $. Here, we discuss two issues related to this chemical potential. First, there is no exactly conserved quantity associated with this chemical potential due to the symmetry-breaking baryon-phonon coupling. Second, $ \mu $ is sometimes introduced by shifting the phonon field by $ \mu \cdot t $ which -- again due to the symmetry-breaking baryon-phonon coupling -- introduces an explicit time dependence in the Lagrangian. We investigate under which conditions introducing a chemical potential is nevertheless justified and show how to correctly introduce it when these conditions are met. We further propose a model that recovers superfluid dark matter's zero-temperature equations of motion including a chemical potential even if the aforementioned conditions for justifying a chemical potential are not met.}, added-at = {2019-09-13T07:31:04.000+0200}, author = {Mistele, Tobias}, biburl = {https://www.bibsonomy.org/bibtex/2707aa3cd854c6658fe31fedcde59f37d/bdasgupta}, description = {The role of the chemical potential in coupling superfluid dark matter to baryons}, interhash = {505edf0f432c399a0d0be32c1d382749}, intrahash = {707aa3cd854c6658fe31fedcde59f37d}, keywords = {capjc dark matter mond}, note = {cite arxiv:1909.05710Comment: 20 pages}, timestamp = {2019-09-13T07:31:04.000+0200}, title = {The role of the chemical potential in coupling superfluid dark matter to baryons}, url = {http://arxiv.org/abs/1909.05710}, year = 2019 }