Critical exponents from seven-loop strong-coupling φ4 theory in three dimensions

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 8, 1999, Pages 1-15

  Kleinert, Hagen ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144406914     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.085001     Document Type: Article

References (30)

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21. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
22. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
23. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
24. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
25. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
26. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
27. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
28. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984); The critical exponents obtained here are based on the ε-expansions calculated in A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Éksp. Teor. Fiz. 77, 1035 (1979) [Sov. Phys. JETP 50, 521 (1979)]; K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983); K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, ibid. 99B, 147 (1981); 101B, 457 (1981); D. I. Kazakov, ibid. 133B, 406 (1983). The recent corrections of their five-loop expansion coefficients in H. Kleinert, J. Neu, V. Schulte-Frohlinde, K. G. Chetyrkin, and S. A. Larin, Phys. Lett. B 272, 39 (1991) have only little effect on these results.
29. J. C. Le Guillou and J. Zinn-Justin, J. Phys. B 46, L137 (1985). Their expansion coefficients are the same as in [16].
30. J. A. Lipa, D. R. Swanson, J. Nissen, T. C. P. Chui, and U. E. Israelson, Phys. Rev. Lett. 76, 944 (1996).