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29344463873
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note
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In bosonic systems, the functional Γ depends also on the expectation value of the bosonic field
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7
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29344447759
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-
note
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Φ-derivable approximations satisfy conservation laws and Ward identities in fermion systems [3]. More generally, expectation values of the Noether currents corresponding to global symmetries are conserved, but Ward identities for the self-energy and higher-order vertex functions can be violated, e.g. in bosonic systems with broken gauge invariance (see Ref. [48])
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11
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29344436708
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e-print arXiv: cond-mat/0208361
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Wetterich, C.1
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0003033605
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41
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0036231822
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The 1PI RG scheme was first introduced in quantum field theory and statistical physics. For a review, see J. Berges, N. Tetradis, C. Wetterich, Phys. Rep. 363, 223 (1993)
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50
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29344448014
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note
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γ1γ2 where I is the unit matrix defined in equation (12)
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52
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29344443798
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-
note
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Note that our derivation of the universality of the LW functional is non perturbative as it does not rely on any diagrammatic expansion. For a related discussion, see M. Potthoff, e-print arXiv:cond-mat/0406671
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53
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0347940300
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The functional F[Σ] and Γ[Σ] have been introduced in the context of the self-energy functional approach by M. Potthoff, Eur. Phys. J. B 32, 429 (2003)
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Potthoff, M.1
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29344439160
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note
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Λ|Δ. The same trick is used to calculate the ground state condensation energy in Section 3.2.1
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57
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29344471855
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N. Dupuis, unpublished
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N. Dupuis, unpublished
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58
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29344460303
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note
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A pairing instability in a high angular momentum channel can occur when the normal phase remains stable down to extremely low temperatures (Kohn-Luttinger effect). Such an instability would however not be experimentally observable
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59
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0000539580
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