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Yukawa theory at vanishing temperature provides (one of the ingredients for) an effective description of the thermodynamics of a variety of cold and dense fermionic systems.
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An interesting example is given by the study of the phase diagram of the Gross-Neveu model using the method of optimized perturbation theory (OPT), as done in Refs. J. L. Kneur, M. B. Pinto and R. O. Ramos, Phys. Rev. D 74
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This approach is particularly useful in the case of the chiral and deconfinement transitions in QCD, where one can use lattice data to fix parameters of an effective field theory as done, for instance, in Refs: A. Dumitru and R. D. Pisarski, Phys. Lett. B 504
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