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Volumn 3, Issue 3, 2002, Pages 435-449

Large momentum bounds from flow equations

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EID: 0036436130     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-002-8623-8     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 0003440273 scopus 로고
    • Clarendon Press, Oxford, 3rd ed. C. Itzykson et J.B.Zuber, Quantum Field Theory, Mc Graw Hill, New York
    • J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Clarendon Press, Oxford, 3rd ed. 1997. C. Itzykson et J.B.Zuber, Quantum Field Theory, Mc Graw Hill, New York (1980).
    • (1980) Quantum Field Theory and Critical Phenomena
    • Zinn-Justin, J.1
  • 2
    • 0001898814 scopus 로고
    • The renormalization group and the ε-expansion
    • K. Wilson and J.B. Kogut, The Renormalization Group and the ε-Expansion, Phys. Rep. 12C, 75-199 (1974). J. Polchinski, Renormalization and Effective Lagrangians, Nucl. Phys. B231, 269-295 (1984).
    • (1974) Phys. Rep. , vol.12 C , pp. 75-199
    • Wilson, K.1    Kogut, J.B.2
  • 3
    • 0009189528 scopus 로고
    • Renormalization and effective lagrangians
    • K. Wilson and J.B. Kogut, The Renormalization Group and the ε-Expansion, Phys. Rep. 12C, 75-199 (1974). J. Polchinski, Renormalization and Effective Lagrangians, Nucl. Phys. B231, 269-295 (1984).
    • (1984) Nucl. Phys. , vol.B231 , pp. 269-295
    • Polchinski, J.1
  • 4
    • 36149007579 scopus 로고
    • High energy behaviour in quantum field theory
    • S. Weinberg, High Energy behaviour in Quantum Field theory, Phys. Rev. 118, 838-849 (1960).
    • (1960) Phys. Rev. , vol.118 , pp. 838-849
    • Weinberg, S.1
  • 5
    • 0001835539 scopus 로고    scopus 로고
    • Asymptotic expansion of Feynman amplitudes I
    • M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes I, Commun. Math. Phys. 39, 1-32, (1974). M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes - the divergent case, preprint FU Berlin, FUB-HEP-May 74/9. M.C. Bergère and J.B. Zuber, Renormalization of Feynman Amplitudes and Parametric Integral Representation, Commun. Math. Phys. 35, 113-140 (1974). M.C. Bergère, C. de Calan and A.P.C. Malbouisson, A Theorem on Asymptotic Expansion of Feynman Amplitudes, Commun. Math. Phys. 62, 137-158 (1978). C. de Calan, F. David and V. Rivasseau, Renormalization in complete Mellin representation of Feynman amplitudes, Commun. Math. Phys. 78, 531-544 (1981).
    • (1974) Commun. Math. Phys. , vol.39 , pp. 1-32
    • Bergère, M.C.1    Lam, Y.M.P.2
  • 6
    • 0001835539 scopus 로고    scopus 로고
    • preprint FU Berlin, FUB-HEP-May 74/9.
    • M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes I, Commun. Math. Phys. 39, 1-32, (1974). M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes - the divergent case, preprint FU Berlin, FUB-HEP-May 74/9. M.C. Bergère and J.B. Zuber, Renormalization of Feynman Amplitudes and Parametric Integral Representation, Commun. Math. Phys. 35, 113-140 (1974). M.C. Bergère, C. de Calan and A.P.C. Malbouisson, A Theorem on Asymptotic Expansion of Feynman Amplitudes, Commun. Math. Phys. 62, 137-158 (1978). C. de Calan, F. David and V. Rivasseau, Renormalization in complete Mellin representation of Feynman amplitudes, Commun. Math. Phys. 78, 531-544 (1981).
    • Asymptotic Expansion of Feynman Amplitudes - The divergent case
    • Bergère, M.C.1    Lam, Y.M.P.2
  • 7
    • 0011633358 scopus 로고
    • Renormalization of Feynman amplitudes and parametric integral representation
    • M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes I, Commun. Math. Phys. 39, 1-32, (1974). M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes - the divergent case, preprint FU Berlin, FUB-HEP-May 74/9. M.C. Bergère and J.B. Zuber, Renormalization of Feynman Amplitudes and Parametric Integral Representation, Commun. Math. Phys. 35, 113-140 (1974). M.C. Bergère, C. de Calan and A.P.C. Malbouisson, A Theorem on Asymptotic Expansion of Feynman Amplitudes, Commun. Math. Phys. 62, 137-158 (1978). C. de Calan, F. David and V. Rivasseau, Renormalization in complete Mellin representation of Feynman amplitudes, Commun. Math. Phys. 78, 531-544 (1981).
    • (1974) Commun. Math. Phys. , vol.35 , pp. 113-140
    • Bergère, M.C.1    Zuber, J.B.2
  • 8
    • 0011566386 scopus 로고
    • A theorem on asymptotic expansion of Feynman amplitudes
    • M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes I, Commun. Math. Phys. 39, 1-32, (1974). M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes - the divergent case, preprint FU Berlin, FUB-HEP-May 74/9. M.C. Bergère and J.B. Zuber, Renormalization of Feynman Amplitudes and Parametric Integral Representation, Commun. Math. Phys. 35, 113-140 (1974). M.C. Bergère, C. de Calan and A.P.C. Malbouisson, A Theorem on Asymptotic Expansion of Feynman Amplitudes, Commun. Math. Phys. 62, 137-158 (1978). C. de Calan, F. David and V. Rivasseau, Renormalization in complete Mellin representation of Feynman amplitudes, Commun. Math. Phys. 78, 531-544 (1981).
    • (1978) Commun. Math. Phys. , vol.62 , pp. 137-158
    • Bergère, M.C.1    De Calan, C.2    Malbouisson, A.P.C.3
  • 9
    • 0011632099 scopus 로고
    • Renormalization in complete Mellin representation of Feynman amplitudes
    • M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes I, Commun. Math. Phys. 39, 1-32, (1974). M.C. Bergère and Y.M.P. Lam, Asymptotic Expansion of Feynman Amplitudes - the divergent case, preprint FU Berlin, FUB-HEP-May 74/9. M.C. Bergère and J.B. Zuber, Renormalization of Feynman Amplitudes and Parametric Integral Representation, Commun. Math. Phys. 35, 113-140 (1974). M.C. Bergère, C. de Calan and A.P.C. Malbouisson, A Theorem on Asymptotic Expansion of Feynman Amplitudes, Commun. Math. Phys. 62, 137-158 (1978). C. de Calan, F. David and V. Rivasseau, Renormalization in complete Mellin representation of Feynman amplitudes, Commun. Math. Phys. 78, 531-544 (1981).
    • (1981) Commun. Math. Phys. , vol.78 , pp. 531-544
    • De Calan, C.1    David, F.2    Rivasseau, V.3
  • 10
    • 0001775486 scopus 로고
    • 4
    • 4, Helv. Phys. Acta 65, 32-52 (1991). Ch. Kopper, Renormierungstheorie mit Flußgleichungen. Shaker-Verlag, Aachen, 1998. M. Salmhofer, Renormalization, an Introduction, Springer, Berlin, 1999. Ch. Kopper, V.F. Müller and Th. Reisz, Temperature Independent Renormalization of Finite Temperature Field Theory, Ann. Henri Poincaré 2, 387-402 (2001).
    • (1991) Helv. Phys. Acta , vol.65 , pp. 32-52
    • Keller, G.1    Kopper, C.2    Salmhofer, M.3
  • 11
    • 0039392795 scopus 로고    scopus 로고
    • Shaker-Verlag, Aachen
    • 4, Helv. Phys. Acta 65, 32-52 (1991). Ch. Kopper, Renormierungstheorie mit Flußgleichungen. Shaker-Verlag, Aachen, 1998. M. Salmhofer, Renormalization, an Introduction, Springer, Berlin, 1999. Ch. Kopper, V.F. Müller and Th. Reisz, Temperature Independent Renormalization of Finite Temperature Field Theory, Ann. Henri Poincaré 2, 387-402 (2001).
    • (1998) Renormierungstheorie mit Flußgleichungen
    • Kopper, C.1
  • 12
    • 0004024257 scopus 로고    scopus 로고
    • Springer, Berlin
    • 4, Helv. Phys. Acta 65, 32-52 (1991). Ch. Kopper, Renormierungstheorie mit Flußgleichungen. Shaker-Verlag, Aachen, 1998. M. Salmhofer, Renormalization, an Introduction, Springer, Berlin, 1999. Ch. Kopper, V.F. Müller and Th. Reisz, Temperature Independent Renormalization of Finite Temperature Field Theory, Ann. Henri Poincaré 2, 387-402 (2001).
    • (1999) Renormalization, an Introduction
    • Salmhofer, M.1
  • 13
    • 0035532197 scopus 로고    scopus 로고
    • Temperature independent renormalization of finite temperature field theory
    • 4, Helv. Phys. Acta 65, 32-52 (1991). Ch. Kopper, Renormierungstheorie mit Flußgleichungen. Shaker-Verlag, Aachen, 1998. M. Salmhofer, Renormalization, an Introduction, Springer, Berlin, 1999. Ch. Kopper, V.F. Müller and Th. Reisz, Temperature Independent Renormalization of Finite Temperature Field Theory, Ann. Henri Poincaré 2, 387-402 (2001).
    • (2001) Ann. Henri Poincaré , vol.2 , pp. 387-402
    • Kopper, C.1    Müller, V.F.2    Reisz, T.3
  • 14
    • 0030530105 scopus 로고    scopus 로고
    • Renormalizability proof for QED based on flow equations
    • G. Keller and Ch. Kopper, Renormalizability Proof for QED Based on Flow Equations, Commun. Math. Phys. 176, 193-226 (1996). Ch. Kopper and V.F. Müller, Renormalization Proof For Spontaneously Broken Yang-Mills Theory with Flow Equations, Commun. Math. Phys. 209, 477-516 (2000).
    • (1996) Commun. Math. Phys. , vol.176 , pp. 193-226
    • Keller, G.1    Kopper, C.2
  • 15
    • 0034340698 scopus 로고    scopus 로고
    • Renormalization proof for spontaneously broken yang-mills theory with flow equations
    • G. Keller and Ch. Kopper, Renormalizability Proof for QED Based on Flow Equations, Commun. Math. Phys. 176, 193-226 (1996). Ch. Kopper and V.F. Müller, Renormalization Proof For Spontaneously Broken Yang-Mills Theory with Flow Equations, Commun. Math. Phys. 209, 477-516 (2000).
    • (2000) Commun. Math. Phys. , vol.209 , pp. 477-516
    • Kopper, C.1    Müller, V.F.2
  • 16
    • 0002590160 scopus 로고
    • Gross-Neveu model through convergent perturbation expansions
    • K. Gawedzki and A. Kupiainen, Gross-Neveu model through convergent perturbation expansions, Commun. Math. Phys. 102, 1-30 (1985). J. Feldman, J. Magnen, V. Rivasseau, R. Sénéor, A renormalizable field theory: the massive Gross-Neveu model, Commun. Math. Phys. 103, 67-103 (1986). M. Disertori, V. Rivasseau, Continuous constructive Fermionic renormalization, Ann. Henri Poincaré 1, 1-58 (2000).
    • (1985) Commun. Math. Phys. , vol.102 , pp. 1-30
    • Gawedzki, K.1    Kupiainen, A.2
  • 17
    • 0002546548 scopus 로고
    • A renormalizable field theory: The massive Gross-Neveu model, Commun
    • K. Gawedzki and A. Kupiainen, Gross-Neveu model through convergent perturbation expansions, Commun. Math. Phys. 102, 1-30 (1985). J. Feldman, J. Magnen, V. Rivasseau, R. Sénéor, A renormalizable field theory: the massive Gross-Neveu model, Commun. Math. Phys. 103, 67-103 (1986). M. Disertori, V. Rivasseau, Continuous constructive Fermionic renormalization, Ann. Henri Poincaré 1, 1-58 (2000).
    • (1986) Math. Phys. , vol.103 , pp. 67-103
    • Feldman, J.1    Magnen, J.2    Rivasseau, V.3    Sénéor, R.4
  • 18
    • 0034417917 scopus 로고    scopus 로고
    • Continuous constructive fermionic renormalization
    • K. Gawedzki and A. Kupiainen, Gross-Neveu model through convergent perturbation expansions, Commun. Math. Phys. 102, 1-30 (1985). J. Feldman, J. Magnen, V. Rivasseau, R. Sénéor, A renormalizable field theory: the massive Gross-Neveu model, Commun. Math. Phys. 103, 67-103 (1986). M. Disertori, V. Rivasseau, Continuous constructive Fermionic renormalization, Ann. Henri Poincaré 1, 1-58 (2000).
    • (2000) Ann. Henri Poincaré , vol.1 , pp. 1-58
    • Disertori, M.1    Rivasseau, V.2
  • 20
    • 21344498423 scopus 로고
    • 4: A simple proof via differential flow equations
    • 4: A simple Proof via Differential Flow Equations, Commun. Math. Phys. 161, 311-323 (1994).
    • (1994) Commun. Math. Phys. , vol.161 , pp. 311-323
    • Keller, G.1
  • 21
    • 0002418646 scopus 로고    scopus 로고
    • Exact renormalization group equations, an introductory review
    • C. Bagnuls and C. Bervillier, Exact renormalization group equations, an introductory review, Phys. Rep. 348, 91 (2001).
    • (2001) Phys. Rep. , vol.348 , pp. 91
    • Bagnuls, C.1    Bervillier, C.2


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