Cosmological interactions are often related to the energy density of the interacting system or to their time derivatives. Is it possible to relate the interaction between spins of a fluid with its energy density? Or with an arbitrary function of its time derivatives?
In other words, can a cosmological interaction be derived from the interaction between spins of a cosmological fluid ?
You may wish to consult the attached three papers for orientation; the third paper concerns a quantum Monte-Carlo study. For the phenomenological Landau Fermi-liquid theory, which is relevant to the subject matter (here one encounters the quasi-particle interaction function fpσ,p'σ' which can be calculated on the basis of microscopic theory), please consult, for instance, The Theory of Quantum Liquids, Vol. I: Normal Fermi Liquids, by Pines and Nozières (WA Benjamin, New York, 1966).
http://iopscience.iop.org/0022-3719/5/13/012/
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.7.1912
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.88.085121
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