메뉴 건너뛰기




Volumn 115, Issue 1-2, 2004, Pages 143-184

Ward identities and vanishing of the Beta function for d = 1 interacting Fermi systems

Author keywords

Fermion systems; Renormalization group; Ward Identities

Indexed keywords


EID: 3543010226     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (24)
  • 2
    • 0008020455 scopus 로고
    • Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
    • G. Benfatto and G. Gallavotti, Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems, J. Stat. Phys. 59:541-664 (1990).
    • (1990) J. Stat. Phys. , vol.59 , pp. 541-664
    • Benfatto, G.1    Gallavotti, G.2
  • 3
    • 0001095103 scopus 로고
    • Renormalization group and the Fermi surface in the Luttinger model
    • G. Benfatto, G. Gallavotti, and V. Mastropietro, Renormalization group and the Fermi surface in the Luttinger model, Phys. Rev. B 45:5468-5480 (1992).
    • (1992) Phys. Rev. B , vol.45 , pp. 5468-5480
    • Benfatto, G.1    Gallavotti, G.2    Mastropietro, V.3
  • 4
    • 21344480783 scopus 로고
    • Beta functions and Schwinger functions for a many fermions system in one dimension
    • G. Benfatto, G. Gallavotti, A. Procacci, and B. Scoppola, Beta functions and Schwinger functions for a many fermions system in one dimension, Comm. Math. Phys. 160:93-171 (1994).
    • (1994) Comm. Math. Phys. , vol.160 , pp. 93-171
    • Benfatto, G.1    Gallavotti, G.2    Procacci, A.3    Scoppola, B.4
  • 5
    • 0035646931 scopus 로고    scopus 로고
    • Renormalization group, hidden symmetries, and approximate Ward identities in the XYZ model
    • G. Benfatto and V. Mastropietro, Renormalization group, hidden symmetries, and approximate Ward identities in the XYZ model, Rev. Math. Phys. 13:1323-1435 (2001).
    • (2001) Rev. Math. Phys. , vol.13 , pp. 1323-1435
    • Benfatto, G.1    Mastropietro, V.2
  • 6
    • 0036027228 scopus 로고    scopus 로고
    • On the density-density critical indices in interacting Fermi systems
    • G. Benfatto and V. Mastropietro, On the density-density critical indices in interacting Fermi systems, Comm. Math. Phys. 231:97-134 (2002).
    • (2002) Comm. Math. Phys. , vol.231 , pp. 97-134
    • Benfatto, G.1    Mastropietro, V.2
  • 7
    • 21844511866 scopus 로고
    • Beta function and anomaly of the Fermi surface for a d = 1 system of interacting fermions in a periodic potential
    • F. Bonetto and V. Mastropietro, Beta function and anomaly of the Fermi surface for a d = 1 system of interacting fermions in a periodic potential, Comm. Math. Phys. 172:57-93 (1995).
    • (1995) Comm. Math. Phys. , vol.172 , pp. 57-93
    • Bonetto, F.1    Mastropietro, V.2
  • 8
    • 0001415231 scopus 로고
    • Correlation functions for a one-dimensional Fermi system with long-range interaction (Tomonaga model)
    • I. E. Dzyaloshinky and A. I. Larkin, Correlation functions for a one-dimensional Fermi system with long-range interaction (Tomonaga model), Soviet Phys. JETP 38:202-208 (1974).
    • (1974) Soviet Phys. JETP , vol.38 , pp. 202-208
    • Dzyaloshinky, I.E.1    Larkin, A.I.2
  • 9
    • 34250081694 scopus 로고
    • Renormalization group and the ultraviolet problem in the Luttinger model
    • G. Gentile and B. Scoppola, Renormalization group and the ultraviolet problem in the Luttinger model, Comm. Math. Phys. 154:153-179 (1993).
    • (1993) Comm. Math. Phys. , vol.154 , pp. 153-179
    • Gentile, G.1    Scoppola, B.2
  • 11
    • 0001346470 scopus 로고    scopus 로고
    • Renormalization Group for fermions: A review of mathematical results
    • G. Gentile and V. Mastropietro, Renormalization Group for fermions: A review of mathematical results, Phys. Rep. 352:273-437 (2001).
    • (2001) Phys. Rep. , vol.352 , pp. 273-437
    • Gentile, G.1    Mastropietro, V.2
  • 12
    • 0040553006 scopus 로고
    • Soft breaking of gauge invariance in regularized quantum electrodynamics
    • T. R. Hurd, Soft breaking of gauge invariance in regularized quantum electrodynamics, Commun. Math. Phys. 125:515-526 (1989).
    • (1989) Commun. Math. Phys. , vol.125 , pp. 515-526
    • Hurd, T.R.1
  • 13
    • 33744514746 scopus 로고
    • An exact soluble model of a many-fermions system
    • J. Luttinger, An exact soluble model of a many-fermions system, J. Math. Phys. 4:1154-1162 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 1154-1162
    • Luttinger, J.1
  • 14
    • 0000561409 scopus 로고
    • Effective action for the Yukawa 2 quantum field theory
    • A. Lesniewski, Effective action for the Yukawa 2 quantum field theory, Commun. Math. Phys. 108:437-467 (1987).
    • (1987) Commun. Math. Phys. , vol.108 , pp. 437-467
    • Lesniewski, A.1
  • 15
    • 6244287238 scopus 로고
    • Calculations of critical exponents in two dimension from quantum field theory in one dimension
    • A. Luther and I. Peschel, Calculations of critical exponents in two dimension from quantum field theory in one dimension, Phys. Rev. B 12:3908-3917 (1975).
    • (1975) Phys. Rev. B , vol.12 , pp. 3908-3917
    • Luther, A.1    Peschel, I.2
  • 16
    • 0037273794 scopus 로고    scopus 로고
    • Non universality in coupled Ising models with quartic interaction
    • V. Mastropietro, Non universality in coupled Ising models with quartic interaction, J. Stat. Phys. 111:201-259 (2003).
    • (2003) J. Stat. Phys. , vol.111 , pp. 201-259
    • Mastropietro, V.1
  • 18
    • 0032072875 scopus 로고    scopus 로고
    • Fermi systems with strong forward interaction
    • W. Metzner, C. Castellani, and C. Di Castro, Fermi systems with strong forward interaction, Adv. Phys. 47:317-445 (1998).
    • (1998) Adv. Phys. , vol.47 , pp. 317-445
    • Metzner, W.1    Castellani, C.2    Di Castro, C.3
  • 19
    • 0000904984 scopus 로고
    • Conservation laws and correlation functions in the Luttinger liquid
    • W. Metzner and C. Di Castro, Conservation laws and correlation functions in the Luttinger liquid, Phys. Rev. B 47:16107 (1993).
    • (1993) Phys. Rev. B , vol.47 , pp. 16107
    • Metzner, W.1    Di Castro, C.2
  • 20
    • 0642364803 scopus 로고
    • Exact solution of a many fermion system and its associated boson field
    • D. Mattis and E. Lieb, Exact solution of a many fermion system and its associated boson field, J. Math. Phys. 6:304-312 (1965).
    • (1965) J. Math. Phys. , vol.6 , pp. 304-312
    • Mattis, D.1    Lieb, E.2
  • 21
    • 0001761431 scopus 로고
    • Derivation of extended scaling relations between critical exponents in two dimensional models from the one dimensional Luttinger model
    • M. P. M. den Nijs, Derivation of extended scaling relations between critical exponents in two dimensional models from the one dimensional Luttinger model, Phys. Rev. B 23:6111-6125 (1981).
    • (1981) Phys. Rev. B , vol.23 , pp. 6111-6125
    • Den Nijs, M.P.M.1
  • 23
    • 84940043791 scopus 로고
    • The Fermi gas model of one dimensional conductors
    • J. Sólyom, The Fermi gas model of one dimensional conductors, Adv. in Phys. 28:201-303 (1978).
    • (1978) Adv. in Phys. , vol.28 , pp. 201-303
    • Sólyom, J.1
  • 24
    • 0001625394 scopus 로고    scopus 로고
    • Bosonization, vicinal surfaces, and Hydrodynamic fluctuation theory
    • H. Spohn, Bosonization, vicinal surfaces, and Hydrodynamic fluctuation theory, Phys. Rev. E 60:6411-6420 (1999).
    • (1999) Phys. Rev. E , vol.60 , pp. 6411-6420
    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.