메뉴 건너뛰기




Volumn 4, Issue 6, 2000, Pages 1-15

Large-N expansion, conformal field theory and renormalization-group flows in three dimensions

Author keywords

1 N Expansion; Renormalization Regularization and Renormalons

Indexed keywords


EID: 7044263228     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/06/042     Document Type: Article
Times cited : (15)

References (31)
  • 1
    • 33744720554 scopus 로고
    • Axial-vector vertex in spinor electrodynamics
    • S. Adler, Axial-vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426.
    • (1969) Phys. Rev. , vol.177 , pp. 2426
    • Adler, S.1
  • 2
    • 51249188328 scopus 로고
    • 0 → γγ in the sigma model
    • 0 → γγ in the sigma model, Nuovo Cim. A60 (1969) 47.
    • (1969) Nuovo Cim. , vol.A60 , pp. 47
    • Bell, J.S.1    Jackiw, R.2
  • 3
    • 36049057897 scopus 로고
    • Absence of higher-order corrections in the anomalous axial vector divergence equation
    • S.L. Adler and W.A. Bardeen, Absence of higher-order corrections in the anomalous axial vector divergence equation, Phys. Rev. 182 (1969) 1517.
    • (1969) Phys. Rev. , vol.182 , pp. 1517
    • Adler, S.L.1    Bardeen, W.A.2
  • 4
    • 0000632467 scopus 로고
    • Naturalness, chiral symmetry and spontaneous chiral symmetry breaking
    • G. 't Hooft et al. eds., Plenum Press, New York
    • G. 't Hooft, Naturalness, chiral symmetry and spontaneous chiral symmetry breaking, in Recent developments in gauge theories, G. 't Hooft et al. eds., Plenum Press, New York 1980.
    • (1980) Recent Developments in Gauge Theories
    • 'T Hooft, G.1
  • 5
    • 0000611883 scopus 로고
    • Energy-momentum-tensor trace anomaly in spin 1/2 quantum electrodynamics
    • S.L. Adler, J.C. Collins and A. Duncan, Energy-momentum-tensor trace anomaly in spin 1/2 quantum electrodynamics, Phys. Rev. D 15 (1977) 1712; N.K. Nielsen, The energy momentum tensor in a nonabelian quark gluon theory, Nucl. Phys. B 120 (1977) 212; J.C. Collins, A. Duncan and S.D. Joglekar, Trace and dilatation anomalies in gauge theories, Phys. Rev. D 16 (1977) 438.
    • (1977) Phys. Rev. D , vol.15 , pp. 1712
    • Adler, S.L.1    Collins, J.C.2    Duncan, A.3
  • 6
    • 8844224801 scopus 로고
    • The energy momentum tensor in a nonabelian quark gluon theory
    • S.L. Adler, J.C. Collins and A. Duncan, Energy-momentum-tensor trace anomaly in spin 1/2 quantum electrodynamics, Phys. Rev. D 15 (1977) 1712; N.K. Nielsen, The energy momentum tensor in a nonabelian quark gluon theory, Nucl. Phys. B 120 (1977) 212; J.C. Collins, A. Duncan and S.D. Joglekar, Trace and dilatation anomalies in gauge theories, Phys. Rev. D 16 (1977) 438.
    • (1977) Nucl. Phys. B , vol.120 , pp. 212
    • Nielsen, N.K.1
  • 7
    • 0000318847 scopus 로고
    • Trace and dilatation anomalies in gauge theories
    • S.L. Adler, J.C. Collins and A. Duncan, Energy-momentum-tensor trace anomaly in spin 1/2 quantum electrodynamics, Phys. Rev. D 15 (1977) 1712; N.K. Nielsen, The energy momentum tensor in a nonabelian quark gluon theory, Nucl. Phys. B 120 (1977) 212; J.C. Collins, A. Duncan and S.D. Joglekar, Trace and dilatation anomalies in gauge theories, Phys. Rev. D 16 (1977) 438.
    • (1977) Phys. Rev. D , vol.16 , pp. 438
    • Collins, J.C.1    Duncan, A.2    Joglekar, S.D.3
  • 8
    • 0032563551 scopus 로고    scopus 로고
    • Nonperturbative formulas for central functions of supersymmetric gauge theories
    • hep-th/9708042
    • D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys. B 526 (1998) 543 [hep-th/9708042].
    • (1998) Nucl. Phys. B , vol.526 , pp. 543
    • Anselmi, D.1    Freedman, D.Z.2    Grisaru, M.T.3    Johansen, A.A.4
  • 9
    • 0001083569 scopus 로고    scopus 로고
    • Positivity constraints on anomalies in supersymmetric gauge theories
    • hep-th/9711035
    • D. Anselmi, J. Erlich, D.Z. Freedman and A.A. Johansen, Positivity constraints on anomalies in supersymmetric gauge theories, Phys. Rev. D 57 (1998) 7570 [hep-th/9711035].
    • (1998) Phys. Rev. D , vol.57 , pp. 7570
    • Anselmi, D.1    Erlich, J.2    Freedman, D.Z.3    Johansen, A.A.4
  • 10
    • 0010931322 scopus 로고
    • Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus
    • V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus, Nucl. Phys. B 229 (1983) 381.
    • (1983) Nucl. Phys. B , vol.229 , pp. 381
    • Novikov, V.A.1    Shifman, M.A.2    Vainshtein, A.I.3    Zakharov, V.I.4
  • 11
    • 0346785583 scopus 로고    scopus 로고
    • Anomalies, unitarity and quantum irreversibility
    • hep-th/9903059
    • D. Anselmi, Anomalies, unitarity and quantum irreversibility, Ann. Phys. (NY) 276 (1999) 361 [hep-th/9903059].
    • (1999) Ann. Phys. (NY) , vol.276 , pp. 361
    • Anselmi, D.1
  • 12
    • 0034624659 scopus 로고    scopus 로고
    • Towards the classification of conformal field theories in arbitrary dimension
    • hep-th/9908014
    • D. Anselmi, Towards the classification of conformal field theories in arbitrary dimension, Phys. Lett. B 476 (2000) 182 [hep-th/9908014].
    • (2000) Phys. Lett. B , vol.476 , pp. 182
    • Anselmi, D.1
  • 13
    • 0034645844 scopus 로고    scopus 로고
    • Quantum irreversibility in arbitrary dimension
    • hep-th/9905005
    • D. Anselmi, Quantum irreversibility in arbitrary dimension, Nucl. Phys. B 567 (2000) 331 [hep-th/9905005].
    • (2000) Nucl. Phys. B , vol.567 , pp. 331
    • Anselmi, D.1
  • 14
    • 0010872907 scopus 로고
    • Renormalizations in abelian Chern-Simons field theories with matter
    • L.V. Avdeev, G.V. Grigorev and D.I. Kazakov, Renormalizations in abelian Chern-Simons field theories with matter, Nucl. Phys. B 382 (1992) 561; L.V. Avdeev, D.I. Kazakov and I.N. Kondrashuk, Renormalizations in supersymmetric and nonsupersymmetric nonabelian chern-simons field theories with matter, Nucl. Phys. B 391 (1993) 333.
    • (1992) Nucl. Phys. B , vol.382 , pp. 561
    • Avdeev, L.V.1    Grigorev, G.V.2    Kazakov, D.I.3
  • 15
    • 0001291868 scopus 로고
    • Renormalizations in supersymmetric and nonsupersymmetric nonabelian chern-simons field theories with matter
    • L.V. Avdeev, G.V. Grigorev and D.I. Kazakov, Renormalizations in abelian Chern-Simons field theories with matter, Nucl. Phys. B 382 (1992) 561; L.V. Avdeev, D.I. Kazakov and I.N. Kondrashuk, Renormalizations in supersymmetric and nonsupersymmetric nonabelian chern-simons field theories with matter, Nucl. Phys. B 391 (1993) 333.
    • (1993) Nucl. Phys. B , vol.391 , pp. 333
    • Avdeev, L.V.1    Kazakov, D.I.2    Kondrashuk, I.N.3
  • 17
    • 0001081328 scopus 로고
    • Finiteness of the Chern-Simons model in perturbation theory
    • A. Blasi and R. Collina, Finiteness of the Chern-Simons model in perturbation theory, Nucl. Phys. B 345 (1990) 472.
    • (1990) Nucl. Phys. B , vol.345 , pp. 472
    • Blasi, A.1    Collina, R.2
  • 18
    • 0002092693 scopus 로고
    • Nonrenormalization properties of the chern-simons action coupled to matter
    • hep-th/9204045
    • A. Blasi, N. Maggiore and S.P. Sorella, Nonrenormalization properties of the chern-simons action coupled to matter, Phys. Lett. B 285 (1992) 54 [hep-th/9204045].
    • (1992) Phys. Lett. B , vol.285 , pp. 54
    • Blasi, A.1    Maggiore, N.2    Sorella, S.P.3
  • 19
    • 0008129049 scopus 로고
    • Nonrenormalization theorem for gauge coupling in (2 + 1)d
    • hep-th/9401053
    • A.N. Kapustin and P.I. Pronin, Nonrenormalization theorem for gauge coupling in (2 + 1)d, Mod. Phys. Lett. A 9 (1994) 1925 [hep-th/9401053].
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 1925
    • Kapustin, A.N.1    Pronin, P.I.2
  • 20
    • 49549147883 scopus 로고
    • The theory of nonrenormalizable interactions, 1. The large-N expansion
    • G. Parisi, The theory of nonrenormalizable interactions, 1. The large-N expansion, Nucl. Phys. B 100 (1975) 368.
    • (1975) Nucl. Phys. B , vol.100 , pp. 368
    • Parisi, G.1
  • 21
    • 0043135819 scopus 로고
    • Applications of the renormalization group to high-energy physics
    • Les Houches, Session XXVIII, R. Balian and J. Zinn-Justin eds., North Holland Publishing Company, Amsterdam
    • D.J. Gross, Applications of the renormalization group to high-energy physics, in Methods in field theory, Les Houches, Session XXVIII, R. Balian and J. Zinn-Justin eds., North Holland Publishing Company, Amsterdam 1976.
    • (1976) Methods in Field Theory
    • Gross, D.J.1
  • 22
    • 13844316088 scopus 로고
    • Dynamical symmetry breaking in four Fermi interaction models
    • B. Rosenstein, B. Warr and S.H. Park, Dynamical symmetry breaking in four Fermi interaction models, Phys. Rep. 205 (1991) 59.
    • (1991) Phys. Rep. , vol.205 , pp. 59
    • Rosenstein, B.1    Warr, B.2    Park, S.H.3
  • 23
    • 0001363689 scopus 로고
    • Phase transition in the three dimensional chiral field
    • I.Ya. Aref'eva, Phase transition in the three dimensional chiral field, Ann. Phys. (NY) 117 (1979) 393.
    • (1979) Ann. Phys. (NY) , vol.117 , pp. 393
    • Aref'eva, I.Ya.1
  • 25
    • 21844521948 scopus 로고
    • More on the subtraction algorithm
    • hep-th/9407023
    • D. Anselmi, More on the subtraction algorithm, Class. and Quant. Grav. 12 (1995) 319 [hep-th/9407023].
    • (1995) Class. and Quant. Grav. , vol.12 , pp. 319
    • Anselmi, D.1
  • 26
    • 0001105016 scopus 로고
    • Constructing the three-dimensional Gross-Neveu model with a large number of flavor components
    • C. de Calan, P.A. F. da Veiga, J. Magnen and R. Seneor, Constructing the three-dimensional Gross-Neveu model with a large number of flavor components, Phys. Rev. Lett. 66 (1991) 3233.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 3233
    • De Calan, C.1    Da Veiga, P.A.F.2    Magnen, J.3    Seneor, R.4
  • 27
    • 0003918536 scopus 로고
    • Cambridge University Press, Cambridge
    • L.S. Brown, Quantum field theory, Cambridge University Press, Cambridge 1992.
    • (1992) Quantum Field Theory
    • Brown, L.S.1
  • 28
    • 0003787842 scopus 로고
    • Cambridge University Press, Cambridge
    • J.C. Collins, Renormalization, Cambridge University Press, Cambridge 1984.
    • (1984) Renormalization
    • Collins, J.C.1
  • 29
    • 0001229015 scopus 로고
    • 2) in the O(N) Gross-Neveu model in arbitrary dimensions
    • hep-th/9306106
    • 3) in the four fermi model in arbitrary dimensions, Int. J. Mod. Phys. A 9 (1994) 727 [hep-th/9306107].
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 567
    • Gracey, J.A.1
  • 30
    • 0000238513 scopus 로고
    • 3) in the four fermi model in arbitrary dimensions
    • hep-th/9306107
    • 3) in the four fermi model in arbitrary dimensions, Int. J. Mod. Phys. A 9 (1994) 727 [hep-th/9306107].
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 727
  • 31
    • 33750493372 scopus 로고
    • Quantum field theory models in less than four-dimensions
    • K.G. Wilson, Quantum field theory models in less than four-dimensions, Phys. Rev. D 7 (1973) 2911.
    • (1973) Phys. Rev. D , vol.7 , pp. 2911
    • Wilson, K.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.