Wegner-Houghton equation and derivative expansion

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 6, 1999, Pages

  Bonanno, Alfio ^a   Branchina, Vincenzo ^a   Mohrbach, Herve ^a   Zappalà, Dario ^a  

^a UNIVERSITY OF CATANIA   (Italy)

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[No Author keywords available]

Indexed keywords

EID: 18044367919     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.065009     Document Type: Article

References (31)

1. L.P. Kadanoff, Physica (Amsterdam) 2, 263 (1966)
2. K. Wilson, Phys. Rev. B 4, 3184 (1971)
3. K. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974).
4. F.J. Wegner and A. Houghton, Phys. Rev. A 8, 401 (1972).
5. J. Polchinski, Nucl. Phys. B231, 269 (1984).
6. A. Hasenfratz and P. Hasenfratz, Nucl. Phys. B270, 685 (1986).
7. C. Wetterich, Nucl. Phys. B352, 529 (1991).
8. C. Wetterich, Phys. Lett. B 301, 90 (1993).
9. T.R. Morris, Int. J. Mod. Phys. A 9, 2411 (1994).
10. T.R. Morris, Phys. Lett. B 329, 241 (1994).
11. A. Ringwald and C. Wetterich, Nucl. Phys. B334, 506 (1990).
12. J. Alexandre, V. Branchina, and J. Polonyi, Phys. Lett. B 445, 351 (1999).
13. T. Papenbrock and C. Wetterich, Z. Phys. C 65, 519 (1995).
14. A. Bonanno and D. Zappalà, Phys. Rev. D 57, 7383 (1998).
15. See 10 for the more general case when the saddle point of the Gaussian integral is not the trivial one (Formula presented) as it is implicitly supposed in the present text.
16. J.F. Nicoll, T.S. Chang, and H.E. Stanley, Phys. Rev. Lett. 33, 540 (1974).
17. J. Alexandre, V. Branchina, and J. Polonyi, Phys. Rev. D 58, 016 002 (1998).
18. I. Aitchison and C.M. Fraser, Phys. Lett. 146B, 63 (1984)
19. I. AitchisonC.M. FraserPhys. Rev. D 31, 2605 (1985)
20. C.M. Fraser, Z. Phys. C 28, 101 (1985).
21. J.A. Zuk, J. Phys. A 18, 1795 (1985)
22. J.A. ZukPhys. Rev. D 32, 2653 (1985).
23. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1990).
24. T.R. Morris, Int. J. Mod. Phys. B 12, 1343 (1998).
25. W. H. Press, Numerical Recipes: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
26. J. Sak, Phys. Rev. B 8, 281 (1973).
27. C. Wetterich, Z. Phys. C 57, 451 (1993).
28. T.R. Morris, Nucl. Phys. B458[FS], 477 (1996).
29. A. Bonanno and D. Zappalà, Phys. Rev. D 55, 6135 (1997)
30. Phys. Rev. DA. BonannoD. Zappalà56, 3759 (1997).
31. J. Alexandre, Ph.D. thesis, Louis Pasteur University, Strasbourg.