메뉴 건너뛰기




Volumn 248, Issue 1, 1998, Pages 37-48

Vertex models on Feynman diagrams

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GRAPHIC METHODS; ISING MODEL; QUANTUM THEORY; STATISTICAL MECHANICS;

EID: 0043046111     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00651-3     Document Type: Article
Times cited : (4)

References (49)
  • 1
    • 0042870731 scopus 로고
    • Matrix models and 2D gravity
    • P. Ginsparg, Matrix models and 2D gravity, Phys. Rep. 254 (1995).
    • (1995) Phys. Rep. , vol.254
    • Ginsparg, P.1
  • 3
    • 17144426793 scopus 로고
    • V. A. Kazakov, Phys. Lett. A 119 (1986) 140; D.V. Boulatov, V.A. Kazakov, Phys. Lett. B 186 (1987) 379;
    • (1986) Phys. Lett. A , vol.119 , pp. 140
    • Kazakov, V.A.1
  • 8
    • 0031558713 scopus 로고    scopus 로고
    • D. Johnston, P. Plecháč J. Phys. A 30 (1997) 7349; 31 (1998) 475.
    • (1998) J. Phys. A , vol.31 , pp. 475
  • 11
    • 16144366741 scopus 로고    scopus 로고
    • C. Baillie, D. Johnston, Nucl. Phys. B 47 (Proc. Suppl.) (1996) 649; C. Baillie, D. Johnston, E. Marinari, C. Naitza, J. Phys. A 29 (1996) 6683; C. Baillie, N. Dorey, W. Janke, D. Johnston, Phys. Lett B 369 (1996) 123.
    • (1996) Nucl. Phys. B , vol.47 , Issue.PROC. SUPPL. , pp. 649
    • Baillie, C.1    Johnston, D.2
  • 12
    • 0039270282 scopus 로고    scopus 로고
    • C. Baillie, D. Johnston, Nucl. Phys. B 47 (Proc. Suppl.) (1996) 649; C. Baillie, D. Johnston, E. Marinari, C. Naitza, J. Phys. A 29 (1996) 6683; C. Baillie, N. Dorey, W. Janke, D. Johnston, Phys. Lett B 369 (1996) 123.
    • (1996) J. Phys. A , vol.29 , pp. 6683
    • Baillie, C.1    Johnston, D.2    Marinari, E.3    Naitza, C.4
  • 13
    • 0041038995 scopus 로고    scopus 로고
    • C. Baillie, D. Johnston, Nucl. Phys. B 47 (Proc. Suppl.) (1996) 649; C. Baillie, D. Johnston, E. Marinari, C. Naitza, J. Phys. A 29 (1996) 6683; C. Baillie, N. Dorey, W. Janke, D. Johnston, Phys. Lett B 369 (1996) 123.
    • (1996) Phys. Lett B , vol.369 , pp. 123
    • Baillie, C.1    Dorey, N.2    Janke, W.3    Johnston, D.4
  • 15
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1973) Phys. Rev. D , vol.8 , pp. 3346
    • Banks, T.1    Bender, C.2    Wu, T.-T.3
  • 16
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1973) Phys. Rev. D , vol.8 , pp. 3367
    • Banks, T.1    Bender, C.2
  • 17
    • 0000950617 scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1977) Phys. Rev. D , vol.15 , pp. 1544
    • Brezin, E.1    Le Guillou, J.2    Zinn-Justin, J.3
  • 18
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • Phys. Rev. D , pp. 1558
  • 19
    • 0011659797 scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1977) Phys. Lett. B , vol.66 , pp. 167
    • Parisi, G.1
  • 20
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1976) JETP Lett. , vol.24 , pp. 157
    • Lipatov, N.1
  • 21
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1976) Sov. Phys. JETP , vol.44 , pp. 1055
  • 22
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1977) JETP Lett. , vol.25 , pp. 104
  • 23
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1977) Sov. Phys. JETP , vol.45 , pp. 216
  • 24
    • 0001387583 scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1977) Phys. Rev. D , vol.15 , pp. 2929
    • Coleman, S.1
  • 25
    • 4243964076 scopus 로고    scopus 로고
    • T. Banks, C. Bender, T.-T. Wu, Phys. Rev. D 8 (1973) 3346; T. Banks, C. Bender, Phys. Rev. D 8 (1973) 3367; E. Brezin, J. Le Guillou, J. Zinn-Justin, Phys. Rev. D 15 (1977) 1544; D 1558; G. Parisi, Phys. Lett. B 66 (1977) 167; N. Lipatov, JETP Lett. 24 (1976) 157; Sov. Phys. JETP 44 (1976) 1055; JETP Lett. 25 (1977) 104; Sov. Phys. JETP 45 (1977) 216; S . Coleman, Phys. Rev. D 15 (1977) 2929; C. Callan, S. Coleman, Phys. Rev. D 16 (1977).
    • (1977) Phys. Rev. D , vol.16
    • Callan, C.1    Coleman, S.2
  • 26
    • 0040445073 scopus 로고
    • P. Whittle, Adv. Appl. Prob. 24 (1992) 455; in: Disorder in Physical Systems, G.R. Grimmett, D.Welsh, eds. (1990) p. 337.
    • (1992) Adv. Appl. Prob. , vol.24 , pp. 455
    • Whittle, P.1
  • 31
    • 0001842184 scopus 로고    scopus 로고
    • D. Johnston, Phys. Lett. B 314 (1993) 69; C. Baillie, D. Johnston, Phys. Lett. B 357 (1995) 287; S. Carroll, M. Ortiz, W. Taylor, Nucl. Phys. B 468 (1996) 620.
    • (1993) Phys. Lett. B , vol.314 , pp. 69
    • Johnston, D.1
  • 32
    • 0001679719 scopus 로고
    • D. Johnston, Phys. Lett. B 314 (1993) 69; C. Baillie, D. Johnston, Phys. Lett. B 357 (1995) 287; S. Carroll, M. Ortiz, W. Taylor, Nucl. Phys. B 468 (1996) 620.
    • (1995) Phys. Lett. B , vol.357 , pp. 287
    • Baillie, C.1    Johnston, D.2
  • 33
    • 0001842184 scopus 로고    scopus 로고
    • D. Johnston, Phys. Lett. B 314 (1993) 69; C. Baillie, D. Johnston, Phys. Lett. B 357 (1995) 287; S. Carroll, M. Ortiz, W. Taylor, Nucl. Phys. B 468 (1996) 620.
    • (1996) Nucl. Phys. B , vol.468 , pp. 620
    • Carroll, S.1    Ortiz, M.2    Taylor, W.3
  • 34
    • 0040609214 scopus 로고    scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1989) J. Phys. A , vol.22
    • Wu, X.1    Wu, F.2
  • 35
    • 0000643386 scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1973) Phys. Rev. Lett , vol.31 , pp. 1294
    • Baxter, R.1    Wu, F.2
  • 36
    • 0001619617 scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1982) J. Stat. Phys. , vol.27 , pp. 441
    • Thompson, C.1
  • 37
    • 0040609214 scopus 로고    scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • J. Stat. Phys. , pp. 457
  • 38
    • 22244442580 scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1991) J. Stat. Phys. , vol.65 , pp. 255
    • Monroe, J.1
  • 39
    • 0004545103 scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1992) J. Stat. Phys. , vol.67 , pp. 1185
  • 40
    • 0001161999 scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 809
    • Gujrati, P.1
  • 41
    • 0040016169 scopus 로고    scopus 로고
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • (1996) Phys. Lett. A , vol.214 , pp. 205
    • Ananikian, A.1    Dallakian, S.2    Izmailian, N.3    Oganessyan, K.4
  • 42
    • 0040609214 scopus 로고    scopus 로고
    • cond-mat/9702106
    • X. Wu, F. Wu, J. Phys. A 22 (1989) L1031; R. Baxter, F. Wu, Phys. Rev. Lett 31 (1973) 1294; C. Thompson, J. Stat. Phys. 27 (1982) 441; 457; J. Monroe, J. Stat. Phys. 65 (1991) 255; 67 (1992) 1185; P Gujrati, Phys. Rev. Lett. 74 (1995) 809; A. Ananikian, S. Dallakian, N. Izmailian, K. Oganessyan, Phys. Lett. A 214 (1996) 205; A. Alahverdian, N. Ananikian, S. Dallakian, Singularities at a dense set of temperature in Husimi tree, cond-mat/9702106.
    • Singularities at a Dense Set of Temperature in Husimi Tree
    • Alahverdian, A.1    Ananikian, N.2    Dallakian, S.3
  • 44
    • 0000567226 scopus 로고
    • V.G. Knizhnik, A.M. Polyakov, A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler, H. Kawai, Nucl. Phys. B 321 (1989) 509.
    • (1988) Mod. Phys. Lett. A , vol.3 , pp. 1651
    • David, F.1
  • 45
    • 33646060263 scopus 로고
    • V.G. Knizhnik, A.M. Polyakov, A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler, H. Kawai, Nucl. Phys. B 321 (1989) 509.
    • (1989) Nucl. Phys. B , vol.321 , pp. 509
    • Distler, J.1    Kawai, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.