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Volumn 48, Issue 3, 2005, Pages 319-338

Renormalization group approach to interacting fermion systems in the two-particle-irreducible formalism

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; PHASE TRANSITIONS; SUPERCONDUCTING MATERIALS; THERMODYNAMICS;

EID: 29344450240     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00409-7     Document Type: Article
Times cited : (37)

References (64)
  • 3
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    • 29344463873 scopus 로고    scopus 로고
    • note
    • In bosonic systems, the functional Γ depends also on the expectation value of the bosonic field
  • 7
    • 29344447759 scopus 로고    scopus 로고
    • note
    • 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])
  • 11
    • 29344436708 scopus 로고    scopus 로고
    • e-print arXiv: cond-mat/0208361
    • C. Wetterich, e-print arXiv: cond-mat/0208361
    • Wetterich, C.1
  • 12
    • 0003033605 scopus 로고
    • edited by B. Douçot, J. Zinn-Justin Elsevier Science, Amsterdam
    • c superconductivity, edited by B. Douçot, J. Zinn-Justin (Elsevier Science, Amsterdam, 1995), p. 307
    • (1995) c Superconductivity , pp. 307
    • Bourbonnais, G.1
  • 41
    • 0036231822 scopus 로고
    • 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)
    • (1993) Phys. Rep. , vol.363 , pp. 223
    • Berges, J.1    Tetradis, N.2    Wetterich, C.3
  • 50
    • 29344448014 scopus 로고    scopus 로고
    • note
    • γ1γ2 where I is the unit matrix defined in equation (12)
  • 52
    • 29344443798 scopus 로고    scopus 로고
    • note
    • 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
  • 53
    • 0347940300 scopus 로고    scopus 로고
    • 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)
    • (2003) Eur. Phys. J. B , vol.32 , pp. 429
    • Potthoff, M.1
  • 54
    • 29344439160 scopus 로고    scopus 로고
    • note
    • Λ|Δ. The same trick is used to calculate the ground state condensation energy in Section 3.2.1
  • 57
    • 29344471855 scopus 로고    scopus 로고
    • N. Dupuis, unpublished
    • N. Dupuis, unpublished
  • 58
    • 29344460303 scopus 로고    scopus 로고
    • note
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.