Failure of mean field theory at large N

Physical Review Letters

Volumn 94, Issue 6, 2005, Pages

  Chandrasekharan, Shailesh ^a   Strouthos, Costas G ^b  

^a DUKE UNIVERSITY   (United States)

^b UNIVERSITY OF CYPRUS   (Cyprus)

Author keywords

[No Author keywords available]

Indexed keywords

LATTICE SITES; LINK MATRIX; MONOMER-DIMER SYSTEMS; SPATIAL DIMERS;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIMERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MONOMERS; PHASE TRANSITIONS;

FERMIONS;

EID: 18244396945     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.061601     Document Type: Article

References (30)

1. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University, New York, 2002), 4th ed.
2. D. J. Amit, Field Theory, the Renormalization Group and Critical Phenomena (World Scientific, Singapore, 1984), revised 2nd ed.
3. M. Moshe and J. Zinn-Justin, Phys. Rep. 385, 69 (2003).
4. B. Rosenstein, B. J. Warr, and S. H. Park, Phys. Rev. D 39, 3088 (1989).
5. A. Kocic and J.B. Kogut, Phys. Rev. Lett. 74, 3109 (1995).
6. J.B. Kogut, M.A. Stephanov, and G.G. Strouthos, Phys. Rev. D 58, 096001 (1998).
7. M. A. Stephanov (private communication).
8. C. G. Strouthos, hep-lat/0410003.
9. O. J. Heilmann and E. H. Lieb, Commun. Math. Phys. 25, 190 (1972).
10. P.W. Kasteleyn, Physica (Amsterdam) 27, 1209 (1961); J. Math. Phys. (N.Y.) 4, 287 (1963).
11. P.W. Kasteleyn, Physica (Amsterdam) 27, 1209 (1961); J. Math. Phys. (N.Y.) 4, 287 (1963).
12. M.E. Fisher and J. Stephenson, Phys. Rev. 132, 1411 (1963).
13. D.S. Rokhsar and S.A. Kivelson, Phys. Rev. Lett. 61, 2376 (1998).
14. P.W. Anderson, Science 235, 1196 (1987).
15. R. Moessner and S.L. Sondhi, Phys. Rev. Lett. 86, 1881 (2001).
16. R. Moessner, S.L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024504 (2002).
17. G. Boyd, J. Fingberg, F. Karsch, L. Karkkainen, and B. Petersson Nucl. Phys. B 376, 199 (1992).
18. P. Rossi and U. Wolff, Nucl. Phys. B 248, 105 (1984).
19. D. H. Adams and S. Chandrasekharan, Nucl. Phys. B 662, 220 (2003).
20. H. Kluberg-Stern, A. Morel, O. Napoly, and B. Petersson, Nucl. Phys. B 190, 504 (1981).
21. S. Chandrasekharan and F.J. Jiang, Phys. Rev. D 68, 091501(R) (2003).
22. N. Bilic, F. Karsch and K. Redlich, Phys. Rev. D 45, 3228 (1992).
23. P. Hasenfratz and H. Leutwyler, Nucl. Phys. B 343, 241 (1990).
24. M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 63, 214503 (2001).
25. S. Chandrasekharan and C. G. Strouthos, Phys. Rev. D 68, 091502(R) (2003).
26. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966); S. Coleman, Commun. Math. Phys. 31, 259 (1973).
27. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966); S. Coleman, Commun. Math. Phys. 31, 259 (1973).
28. V.L. Berezinski, Sov. Phys. JETP 34, 610 (1971); J.M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
29. V.L. Berezinski, Sov. Phys. JETP 34, 610 (1971); J.M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
30. E. Witten, Nucl. Phys. B 145, 110 (1978).