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Volumn 202, Issue 1, 1999, Pages 89-126

Mass generation in the large N-nonlinear σ-model

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EID: 0033244735     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050576     Document Type: Article
Times cited : (17)

References (38)
  • 1
    • 0010964335 scopus 로고
    • Mass generation in the large N Gross-Neveu-Model
    • 1. Kopper, Ch., Magnen, J., Rivasseau, V.: Mass generation in the large N Gross-Neveu-Model, Commun. Math. Phys. 169, 121-180 (1995)
    • (1995) Commun. Math. Phys. , vol.169 , pp. 121-180
    • Kopper, Ch.1    Magnen, J.2    Rivasseau, V.3
  • 3
    • 0003876937 scopus 로고
    • Singapore: World Scientific
    • 3. For a review see: Smirnov, F.A.: Form Factors in Completely Integrable Models of Quantum field Theory, Singapore: World Scientific, 1992. Some important references are: Zamolodchikov, A., Zamolodchikov, Al.B.: Relativistic Factorized S-Matrix in two dimensions having O(N) isotopic symmetry. Nucl. Phys. 133, 525 (1978). Karowski, M., Weisz, P.: Nucl. Phys. B139, 455 (1978). Hasenfratz, P. Maggiore, M. Niedermayer, F.: The exact mass gap of the O(3) and O(4) σ-models in d = 2. Phys. Lett. B245, 522-528 (1990). Hasenfratz, P., Niedermayer, F.: The exact mass gap for the O(N) σ-model for arbitrary N ≥ 3 in d = 2. Phys. Lett. B245, 529-534 (1990)
    • (1992) Form Factors in Completely Integrable Models of Quantum Field Theory
    • Smirnov, F.A.1
  • 4
    • 33646631712 scopus 로고
    • Relativistic Factorized S-Matrix in two dimensions having O(N) isotopic symmetry
    • 3. For a review see: Smirnov, F.A.: Form Factors in Completely Integrable Models of Quantum field Theory, Singapore: World Scientific, 1992. Some important references are: Zamolodchikov, A., Zamolodchikov, Al.B.: Relativistic Factorized S-Matrix in two dimensions having O(N) isotopic symmetry. Nucl. Phys. 133, 525 (1978). Karowski, M., Weisz, P.: Nucl. Phys. B139, 455 (1978). Hasenfratz, P. Maggiore, M. Niedermayer, F.: The exact mass gap of the O(3) and O(4) σ-models in d = 2. Phys. Lett. B245, 522-528 (1990). Hasenfratz, P., Niedermayer, F.: The exact mass gap for the O(N) σ-model for arbitrary N ≥ 3 in d = 2. Phys. Lett. B245, 529-534 (1990)
    • (1978) Nucl. Phys. , vol.133 , pp. 525
    • Zamolodchikov, A.1    Zamolodchikov, A.B.2
  • 5
    • 0000244510 scopus 로고
    • 3. For a review see: Smirnov, F.A.: Form Factors in Completely Integrable Models of Quantum field Theory, Singapore: World Scientific, 1992. Some important references are: Zamolodchikov, A., Zamolodchikov, Al.B.: Relativistic Factorized S-Matrix in two dimensions having O(N) isotopic symmetry. Nucl. Phys. 133, 525 (1978). Karowski, M., Weisz, P.: Nucl. Phys. B139, 455 (1978). Hasenfratz, P. Maggiore, M. Niedermayer, F.: The exact mass gap of the O(3) and O(4) σ-models in d = 2. Phys. Lett. B245, 522-528 (1990). Hasenfratz, P., Niedermayer, F.: The exact mass gap for the O(N) σ-model for arbitrary N ≥ 3 in d = 2. Phys. Lett. B245, 529-534 (1990)
    • (1978) Nucl. Phys. , vol.B139 , pp. 455
    • Karowski, M.1    Weisz, P.2
  • 6
    • 0001030734 scopus 로고
    • The exact mass gap of the O(3) and O(4) σ-models in d = 2
    • 3. For a review see: Smirnov, F.A.: Form Factors in Completely Integrable Models of Quantum field Theory, Singapore: World Scientific, 1992. Some important references are: Zamolodchikov, A., Zamolodchikov, Al.B.: Relativistic Factorized S-Matrix in two dimensions having O(N) isotopic symmetry. Nucl. Phys. 133, 525 (1978). Karowski, M., Weisz, P.: Nucl. Phys. B139, 455 (1978). Hasenfratz, P. Maggiore, M. Niedermayer, F.: The exact mass gap of the O(3) and O(4) σ-models in d = 2. Phys. Lett. B245, 522-528 (1990). Hasenfratz, P., Niedermayer, F.: The exact mass gap for the O(N) σ-model for arbitrary N ≥ 3 in d = 2. Phys. Lett. B245, 529-534 (1990)
    • (1990) Phys. Lett. , vol.B245 , pp. 522-528
    • Hasenfratz, P.1    Maggiore, M.2    Niedermayer, F.3
  • 7
    • 0001030735 scopus 로고
    • The exact mass gap for the O(N) σ-model for arbitrary N ≥ 3 in d = 2
    • 3. For a review see: Smirnov, F.A.: Form Factors in Completely Integrable Models of Quantum field Theory, Singapore: World Scientific, 1992. Some important references are: Zamolodchikov, A., Zamolodchikov, Al.B.: Relativistic Factorized S-Matrix in two dimensions having O(N) isotopic symmetry. Nucl. Phys. 133, 525 (1978). Karowski, M., Weisz, P.: Nucl. Phys. B139, 455 (1978). Hasenfratz, P. Maggiore, M. Niedermayer, F.: The exact mass gap of the O(3) and O(4) σ-models in d = 2. Phys. Lett. B245, 522-528 (1990). Hasenfratz, P., Niedermayer, F.: The exact mass gap for the O(N) σ-model for arbitrary N ≥ 3 in d = 2. Phys. Lett. B245, 529-534 (1990)
    • (1990) Phys. Lett. , vol.B245 , pp. 529-534
    • Hasenfratz, P.1    Niedermayer, F.2
  • 8
    • 0001662958 scopus 로고
    • Continuum limit of the Hierarchical O(N) Nonlinear σ-Model
    • 4. Gawedzki, K., Kupiainen, A.: Continuum Limit of the Hierarchical O(N) Nonlinear σ-Model. Commun. Math. Phys. 106, 533-550 (1986)
    • (1986) Commun. Math. Phys. , vol.106 , pp. 533-550
    • Gawedzki, K.1    Kupiainen, A.2
  • 9
    • 0000829515 scopus 로고
    • On the renormalization group iteration of a two-dimensional hierarchical nonlinear σ-model
    • 5. Pordt, A., Reiss, Th.: On the renormalization group iteration of a two-dimensional hierarchical nonlinear σ-model. Annales de l'Institut Poincaré 55, 545-587 (1991)
    • (1991) Annales de l'Institut Poincaré , vol.55 , pp. 545-587
    • Pordt, A.1    Reiss, Th.2
  • 10
    • 33750421483 scopus 로고
    • Renormalization of the nonlinear σ model in 2 + ε dimensions
    • 6. Brézin, E., Le Guillou, J. and Zinn-Justin, J.: Renormalization of the nonlinear σ model in 2 + ε dimensions. Phys. Rev. D14, 2615-2621 (1976). Brézin, E., Zinn-Justin, J.: Spontaneous Breakdown of Continuous Symmetries near two dimensions, Phys. Rev. B14, 3110-3112 (1976)
    • (1976) Phys. Rev. , vol.D14 , pp. 2615-2621
    • Brézin, E.1    Le Guillou, J.2    Zinn-Justin, J.3
  • 11
    • 4244094764 scopus 로고
    • Spontaneous breakdown of continuous symmetries near two dimensions
    • 6. Brézin, E., Le Guillou, J. and Zinn-Justin, J.: Renormalization of the nonlinear σ model in 2 + ε dimensions. Phys. Rev. D14, 2615-2621 (1976). Brézin, E., Zinn-Justin, J.: Spontaneous Breakdown of Continuous Symmetries near two dimensions, Phys. Rev. B14, 3110-3112 (1976)
    • (1976) Phys. Rev. , vol.B14 , pp. 3110-3112
    • Brézin, E.1    Zinn-Justin, J.2
  • 13
    • 0000894060 scopus 로고
    • Super-instantons and the reliability of perturbation theory in non-Abelian models
    • 8. Patrascioiu, A., Seiler, E.: Super-Instantons and the Reliability of Perturbation Theory in Non-Abelian Models. Phys. Rev. Lett. 74, 1920-1923 (1995) and: Nonuniformity of the 1/N Expansion for O(N) Models. Nucl. Phys. B443, 596 (1995)
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1920-1923
    • Patrascioiu, A.1    Seiler, E.2
  • 14
    • 0000894060 scopus 로고
    • Nonuniformity of the 1/N expansion for O(N) models
    • 8. Patrascioiu, A., Seiler, E.: Super-Instantons and the Reliability of Perturbation Theory in Non-Abelian Models. Phys. Rev. Lett. 74, 1920-1923 (1995) and: Nonuniformity of the 1/N Expansion for O(N) Models. Nucl. Phys. B443, 596 (1995)
    • (1995) Nucl. Phys. , vol.B443 , pp. 596
  • 15
    • 0001158846 scopus 로고
    • Absence of ferromagnetism and antiferromagnetism in one-and two-dimensional isotropic Heisenberg models
    • 9. Mermin, N.D. and Wagner, H.: Absence of ferromagnetism and antiferromagnetism in one-and two-dimensional isotropic Heisenberg models. Phys. Rev. Lett. 17,1133-1136 (1966), Mermin, N.D.: Absence of ordering in certain classical systems. Journ. Math. Phys. 8, 1061-1064 (1967)
    • (1966) Phys. Rev. Lett. , vol.17 , pp. 1133-1136
    • Mermin, N.D.1    Wagner, H.2
  • 16
    • 33744730976 scopus 로고
    • Absence of ordering in certain classical systems
    • 9. Mermin, N.D. and Wagner, H.: Absence of ferromagnetism and antiferromagnetism in one-and two-dimensional isotropic Heisenberg models. Phys. Rev. Lett. 17,1133-1136 (1966), Mermin, N.D.: Absence of ordering in certain classical systems. Journ. Math. Phys. 8, 1061-1064 (1967)
    • (1967) Journ. Math. Phys. , vol.8 , pp. 1061-1064
    • Mermin, N.D.1
  • 17
    • 0002871418 scopus 로고
    • Absence of breakdown of continuous symmetries in two-dimensional models of statistical mechanics
    • 10. Dobrushin, R. and Shlosman, S.: Absence of breakdown of continuous symmetries in two-dimensional models of statistical mechanics. Commun. Math. Phys. 42, 31-40 (1975)
    • (1975) Commun. Math. Phys. , vol.42 , pp. 31-40
    • Dobrushin, R.1    Shlosman, S.2
  • 18
    • 0001627547 scopus 로고
    • Schwinger functions for the Yukawa model in two space time dimensions with space time cutoff
    • 11. Seiler, E.: Schwinger functions for the Yukawa Model in two space time dimensions with space time cutoff. Commun. Math. Phys. 42, 163-182 (1975), Simon. B.: Trace Ideals and their Applications. London Mathematical Society Lecture Note Series 35, Cambridge: Cambridge Univ. Press, 1979, Faria da Veiga, P.A.: Constructions de Modèles non renormalisables en Théorie quantique des Champs, Thesis Ecole Polytechnique, 1991, Magnen, J. and Sénéor, R.: Yukawa Quantum Field Theory in three Dimensions, Proc. 3rd Int. Conf. on Collective Phenomena, Annals of the New York Academy of Sciences 337, New York, 1980
    • (1975) Commun. Math. Phys. , vol.42 , pp. 163-182
    • Seiler, E.1
  • 19
    • 0001627547 scopus 로고
    • Trace ideals and their applications
    • Cambridge: Cambridge Univ. Press
    • 11. Seiler, E.: Schwinger functions for the Yukawa Model in two space time dimensions with space time cutoff. Commun. Math. Phys. 42, 163-182 (1975), Simon. B.: Trace Ideals and their Applications. London Mathematical Society Lecture Note Series 35, Cambridge: Cambridge Univ. Press, 1979, Faria da Veiga, P.A.: Constructions de Modèles non renormalisables en Théorie quantique des Champs, Thesis Ecole Polytechnique, 1991, Magnen, J. and Sénéor, R.: Yukawa Quantum Field Theory in three Dimensions, Proc. 3rd Int. Conf. on Collective Phenomena, Annals of the New York Academy of Sciences 337, New York, 1980
    • (1979) London Mathematical Society Lecture Note Series , vol.35
    • Simon, B.1
  • 20
    • 0001627547 scopus 로고
    • Thesis Ecole Polytechnique
    • 11. Seiler, E.: Schwinger functions for the Yukawa Model in two space time dimensions with space time cutoff. Commun. Math. Phys. 42, 163-182 (1975), Simon. B.: Trace Ideals and their Applications. London Mathematical Society Lecture Note Series 35, Cambridge: Cambridge Univ. Press, 1979, Faria da Veiga, P.A.: Constructions de Modèles non renormalisables en Théorie quantique des Champs, Thesis Ecole Polytechnique, 1991, Magnen, J. and Sénéor, R.: Yukawa Quantum Field Theory in three Dimensions, Proc. 3rd Int. Conf. on Collective Phenomena, Annals of the New York Academy of Sciences 337, New York, 1980
    • (1991) Constructions de Modèles non Renormalisables en Théorie Quantique des Champs
    • Faria Da Veiga, P.A.1
  • 21
    • 0001627547 scopus 로고
    • Yukawa quantum field theory in three dimensions
    • Annals of the New York Academy of Sciences New York
    • 11. Seiler, E.: Schwinger functions for the Yukawa Model in two space time dimensions with space time cutoff. Commun. Math. Phys. 42, 163-182 (1975), Simon. B.: Trace Ideals and their Applications. London Mathematical Society Lecture Note Series 35, Cambridge: Cambridge Univ. Press, 1979, Faria da Veiga, P.A.: Constructions de Modèles non renormalisables en Théorie quantique des Champs, Thesis Ecole Polytechnique, 1991, Magnen, J. and Sénéor, R.: Yukawa Quantum Field Theory in three Dimensions, Proc. 3rd Int. Conf. on Collective Phenomena, Annals of the New York Academy of Sciences 337, New York, 1980
    • (1980) Proc. 3rd Int. Conf. on Collective Phenomena , vol.337
    • Magnen, J.1    Sénéor, R.2
  • 22
    • 0009430293 scopus 로고
    • Constructive field theory
    • Proc. Erice 1973
    • 12. Reed, M.C.: In: Constructive Field Theory. Proc. Erice 1973, Lecture Notes in Physics 25, 1973
    • (1973) Lecture Notes in Physics , vol.25
    • Reed, M.C.1
  • 24
    • 0009327309 scopus 로고
    • Critical phenomena, random systems, gauge theories
    • Amsterdam: North Holland, 1986
    • 14. Brydges, D.: In: Critical Phenomena, Random Systems, Gauge Theories, Proc. Les Houches 1984. Amsterdam: North Holland, 1986. Brydges, D. and Martin, Ph.A.: Coulomb Systems at low densitiy. Preprint 1998
    • (1984) Proc. Les Houches
    • Brydges, D.1
  • 25
    • 85037783982 scopus 로고    scopus 로고
    • Preprint
    • 14. Brydges, D.: In: Critical Phenomena, Random Systems, Gauge Theories, Proc. Les Houches 1984. Amsterdam: North Holland, 1986. Brydges, D. and Martin, Ph.A.: Coulomb Systems at low densitiy. Preprint 1998
    • (1998) Coulomb Systems at Low Densitiy
    • Brydges, D.1    Martin, Ph.A.2
  • 26
    • 0003075338 scopus 로고
    • Mayer expansions and the Hamilton-Jacobi equation
    • 15. Brydges D. and Kennedy, T.: Mayer Expansions and the Hamilton-Jacobi Equation. Journ. Stat. Phys. 48, 19 (1987)
    • (1987) Journ. Stat. Phys. , vol.48 , pp. 19
    • Brydges, D.1    Kennedy, T.2
  • 27
    • 0000494310 scopus 로고
    • GradΦ perturbations of massless Gaussian fields
    • 16. Brydges, D. and Yau, H.T.: GradΦ Perturbations of massless Gaussian Fields. Commun. Math. Phys. 129, 351 (1990)
    • (1990) Commun. Math. Phys. , vol.129 , pp. 351
    • Brydges, D.1    Yau, H.T.2
  • 28
    • 0000708826 scopus 로고
    • A new form of the mayer expansion in classical statistical mechanics
    • 17. Brydges, D. and Federbush, P.: A new Form of the Mayer Expansion in Classical Statistical Mechanics. Journ. Math. Phys. 19, 2064 (1978)
    • (1978) Journ. Math. Phys. , vol.19 , pp. 2064
    • Brydges, D.1    Federbush, P.2
  • 29
    • 0003301622 scopus 로고
    • Trees, forests and jungles, a botanical garden for cluster expansions
    • Rivasseau, V. (ed): Berlin-Heidelberg-New York: Springer Verlag
    • 18. Abdesselam, A. and Rivasseau, V.: Trees, Forests and Jungles, a Botanical Garden for Cluster Expansions. In: Rivasseau, V. (ed): Proceedings of the International Workshop on Constructive Theory, Berlin-Heidelberg-New York: Springer Verlag, 1995
    • (1995) Proceedings of the International Workshop on Constructive Theory
    • Abdesselam, A.1    Rivasseau, V.2
  • 33
    • 0001367699 scopus 로고    scopus 로고
    • 4 in 4 - ε dimensions
    • 4 in 4 - ε dimensions. Commun. Math. Phys. 198, 111-156 (1998)
    • (1998) Commun. Math. Phys. , vol.198 , pp. 111-156
  • 34
    • 0003432008 scopus 로고
    • Functional integrals and their applications
    • Lausanne
    • 22. Brydges, D.: Functional integrals and their Applications. EPFL Lecture Notes, Lausanne 1992
    • (1992) EPFL Lecture Notes
    • Brydges, D.1
  • 35
    • 21344496341 scopus 로고
    • Polymers in a weak random potential in dimension four: Rigorous renormalization group analysis
    • 23. Iagolnitzer, D. and Magnen, J.: Polymers in a Weak Random Potential in Dimension Four: Rigorous Renormalization Group Analysis. Commun. Math. Phys. 162, 85-121 (1994)
    • (1994) Commun. Math. Phys. , vol.162 , pp. 85-121
    • Iagolnitzer, D.1    Magnen, J.2
  • 36
    • 34250405894 scopus 로고
    • 2 quantum field theory
    • 2 Quantum Field Theory. Commun. Math. Phys. 44, 153-164 (1975)
    • (1975) Commun. Math. Phys. , vol.44 , pp. 153-164
    • Spencer, T.1
  • 37
    • 0001032114 scopus 로고
    • On the 1/n expansion
    • 25. Kupiainen, A.: On the 1/n Expansion. Commun. Math. Phys. 73, 273-294 (1980)
    • (1980) Commun. Math. Phys. , vol.73 , pp. 273-294
    • Kupiainen, A.1
  • 38
    • 0033244737 scopus 로고    scopus 로고
    • N dependence of upper bounds of critical temperatures of 2D O(N) spin models
    • 26. Ito, K.R., Tamura, H.: N Dependence of Upper Bounds of Critical Temperatures of 2D O(N) Spin Models. Commun. Math. Phys. 202, 127-168 (1999)
    • (1999) Commun. Math. Phys. , vol.202 , pp. 127-168
    • Ito, K.R.1    Tamura, H.2


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