Extract Renormalization for the Gross-Neveu Model of Quantum Fields

K. Gawȩdzki; A. Kupiainen

doi:10.1103/PhysRevLett.54.2191

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Extract Renormalization for the Gross-Neveu Model of Quantum Fields

K. Gawȩdzki

A. Kupiainen

Centre National de la Recherche Scientifiques, Institut des Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France

Research Institute for Theoretical Physics, Helsinki University, 00170 Helsinki, Finland

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Phys. Rev. Lett. 54, 2191 – Published 20 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2191

Abstract

We show that the Wilson renormalization-group flow of effective Lagrangians in fermionic models can be explicitly controlled using convergent perturbation expansions. A simple rigorous construction of two-dimensional asymptotically free field theories (the Gross-Neveu models) results.

References (10)

E. Caianiello, Nuovo Cimento 3, 223 (1956)
L. Lipatov, Pis'ma, Zh. Eksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1977)]
G. t'Hooft, in The Whys of Subnuclear Physics, edited by A. Zichichi (Plenum, New York, 1979)
K. Gawȩdzki and A. Kupiainen, to be published J. Feldman, J. Magnen, V. Rivasseau, and R. Sénéor, private communication
D. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974) P. Mitter and P. Weisz, 8, 4410 (1973)
K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974) K. Wilson, Phys. Rev. D 2, 1473 (1970)
([5])
J. Polchinski, Nucl. Phys. B231, 269 (1984) G. Gallavotti and F. Nicolo, to be published
R. Shankar, to be published
G. Parisi, Nucl. Phys. B100, 368 (1975)

[c1] E. Caianiello, Nuovo Cimento 3, 223 (1956)

[c2] L. Lipatov, Pis'ma, Zh. Eksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1977)]

[c3] G. t'Hooft, in The Whys of Subnuclear Physics, edited by A. Zichichi (Plenum, New York, 1979)

[c4] K. Gawȩdzki and A. Kupiainen, to be published J. Feldman, J. Magnen, V. Rivasseau, and R. Sénéor, private communication

[c5] D. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974) P. Mitter and P. Weisz, 8, 4410 (1973)

[c6] K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974) K. Wilson, Phys. Rev. D 2, 1473 (1970)

[c7] ([5])

[c8] J. Polchinski, Nucl. Phys. B231, 269 (1984) G. Gallavotti and F. Nicolo, to be published

[c9] R. Shankar, to be published

[c10] G. Parisi, Nucl. Phys. B100, 368 (1975)

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Extract Renormalization for the Gross-Neveu Model of Quantum Fields

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References (10)

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