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Volumn 60, Issue 4, 1999, Pages 1-13

Antiferromagnetic φ4 model. I. The mean-field solution

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EID: 17044428877     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.045006     Document Type: Article
Times cited : (25)

References (50)
  • 2
    • 35949034896 scopus 로고
    • K. Wilson and J. Kogut, Phys. Rep., Phys. Lett. C12, 75 (1974); K. Wilson, Rev. Mod. Phys. 47, 773 (1975).
    • (1975) Rev. Mod. Phys. , vol.47 , pp. 773
    • Wilson, K.1
  • 12
    • 0004152194 scopus 로고
    • Cambridge University Press, Cambridge, England
    • S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985); J. Collins, Renormalization (Cambridge University Press, Cambridge, England, 1984).
    • (1985) Aspects of Symmetry
    • Coleman, S.1
  • 13
    • 0003787842 scopus 로고
    • Cambridge University Press, Cambridge, England
    • S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985); J. Collins, Renormalization (Cambridge University Press, Cambridge, England, 1984).
    • (1984) Renormalization
    • Collins, J.1
  • 14
    • 0003664044 scopus 로고
    • edited by R. Hwa World Scientific, Singapore
    • J. Polonyi, in Quark-Gluon Plasma, edited by R. Hwa (World Scientific, Singapore, 1988).
    • (1988) Quark-Gluon Plasma
    • Polonyi, J.1
  • 15
    • 17044417873 scopus 로고    scopus 로고
    • e-Print Archive: hep-lat/9503016
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • Non-classical Exponents in the d=4 Ising Model with Two Couplings
    • Alonso, J.L.1
  • 16
    • 0000127254 scopus 로고    scopus 로고
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • (1997) Phys. Rev. D , vol.55 , pp. 2965
    • Campos, I.1    Fernández, L.A.2    Tarancon, A.3
  • 17
    • 16144367716 scopus 로고    scopus 로고
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • (1996) Nucl. Phys. B (Proc. Suppl.) , vol.47 , pp. 767
    • Alonso, J.L.1
  • 18
    • 17144389280 scopus 로고    scopus 로고
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • (1996) Phys. Lett. B , vol.378 , pp. 207
    • Ballesteros, H.G.1    Fernández, L.A.2    Martin-Mayor, V.3    Sudupe, M.4
  • 19
    • 0031566137 scopus 로고    scopus 로고
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • (1997) Nucl. Phys. , vol.B483 , pp. 707
  • 20
    • 0031065563 scopus 로고    scopus 로고
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • (1997) Nucl. Phys. B (Proc. Suppl.) , vol.53 , pp. 686
  • 21
    • 0347875539 scopus 로고    scopus 로고
    • J.L. Alonso et al., "Non-classical exponents in the d=4 Ising model with two couplings," e-Print Archive: hep-lat/9503016; I. Campos, L.A. Fernández, and A. Tarancon, Phys. Rev. D 55, 2965 (1997); J.L. Alonso et al., Nucl. Phys. B (Proc. Suppl.) 47, 767 (1996); H.G. Ballesteros, L.A. Fernández, V. Martin-Mayor, and Munoz Sudupe, Phys. Lett. B 378, 207 (1996); Nucl. Phys. B483, 707 (1997); Nucl. Phys. B (Proc. Suppl.) 53, 686 (1997); H.G. Ballesteros et al., Phys. Rev. D 55, 5067 (1997).
    • (1997) Phys. Rev. D , vol.55 , pp. 5067
    • Ballesteros, H.G.1
  • 23
    • 0000548640 scopus 로고
    • S. Caracciolo and S. Patarnello, Phys. Lett. A 126, 233 (1988); M. Bernashi et al., Phys. Lett. B 231, 157 (1989); L.A. Fernandez et al., ibid. 217, 314 (1989); R.V. Gavai and F. Karsch, Phys. Rev. B 46, 944 (1992); S.J. Ferreira and A.D. Sokal, ibid. 51, 6727 (1995).
    • (1988) Phys. Lett. A , vol.126 , pp. 233
    • Caracciolo, S.1    Patarnello, S.2
  • 24
    • 0001760846 scopus 로고
    • S. Caracciolo and S. Patarnello, Phys. Lett. A 126, 233 (1988); M. Bernashi et al., Phys. Lett. B 231, 157 (1989); L.A. Fernandez et al., ibid. 217, 314 (1989); R.V. Gavai and F. Karsch, Phys. Rev. B 46, 944 (1992); S.J. Ferreira and A.D. Sokal, ibid. 51, 6727 (1995).
    • (1989) Phys. Lett. B , vol.231 , pp. 157
    • Bernashi, M.1
  • 25
    • 0001377854 scopus 로고
    • S. Caracciolo and S. Patarnello, Phys. Lett. A 126, 233 (1988); M. Bernashi et al., Phys. Lett. B 231, 157 (1989); L.A. Fernandez et al., ibid. 217, 314 (1989); R.V. Gavai and F. Karsch, Phys. Rev. B 46, 944 (1992); S.J. Ferreira and A.D. Sokal, ibid. 51, 6727 (1995).
    • (1989) Phys. Lett. B , vol.217 , pp. 314
    • Fernandez, L.A.1
  • 26
    • 0010784503 scopus 로고
    • S. Caracciolo and S. Patarnello, Phys. Lett. A 126, 233 (1988); M. Bernashi et al., Phys. Lett. B 231, 157 (1989); L.A. Fernandez et al., ibid. 217, 314 (1989); R.V. Gavai and F. Karsch, Phys. Rev. B 46, 944 (1992); S.J. Ferreira and A.D. Sokal, ibid. 51, 6727 (1995).
    • (1992) Phys. Rev. B , vol.46 , pp. 944
    • Gavai, R.V.1    Karsch, F.2
  • 27
    • 0001207947 scopus 로고
    • S. Caracciolo and S. Patarnello, Phys. Lett. A 126, 233 (1988); M. Bernashi et al., Phys. Lett. B 231, 157 (1989); L.A. Fernandez et al., ibid. 217, 314 (1989); R.V. Gavai and F. Karsch, Phys. Rev. B 46, 944 (1992); S.J. Ferreira and A.D. Sokal, ibid. 51, 6727 (1995).
    • (1995) Phys. Rev. B , vol.51 , pp. 6727
    • Ferreira, S.J.1    Sokal, A.D.2
  • 29
    • 0039465453 scopus 로고
    • P. Bak, Rep. Prog. Phys. 45, 587 (1982); R.B. Griffiths, in Fundamental Problems in Statistical Mechanics, VII, edited by H. van Beijeren (Elsevier Science, Amsterdam, 1990).
    • (1982) Rep. Prog. Phys. , vol.45 , pp. 587
    • Bak, P.1
  • 31
    • 0001191734 scopus 로고
    • Y.I. Frenkel and T. Kontorowa, Zh. Eksp. Teor. Fiz. 8, 1340 (1938); F.C. Frank and J.H. Van der Merwe, Proc. R. Soc. London A198, 205 (1949); A198, 216 (1949).
    • (1938) Zh. Eksp. Teor. Fiz. , vol.8 , pp. 1340
    • Frenkel, Y.I.1    Kontorowa, T.2
  • 33
    • 0000440629 scopus 로고
    • Y.I. Frenkel and T. Kontorowa, Zh. Eksp. Teor. Fiz. 8, 1340 (1938); F.C. Frank and J.H. Van der Merwe, Proc. R. Soc. London A198, 205 (1949); A198, 216 (1949).
    • (1949) Proc. R. Soc. London , vol.A198 , pp. 216
  • 34
    • 5244357749 scopus 로고
    • W.L. McMillan, Phys. Rev. B 4, 1496 (1976); V.L. Pokrovcky and A.L. Talapov, Zh. Éksp. Teor. Fiz. 75, 1151 (1978) [Sov. Phys. JETP 48, 579 (1978)]; A.D. Novaco, Phys. Rev. B 22, 1645 (1980); T. Janssen and J.A. Tjom, ibid. 25, 3767 (1982).
    • (1976) Phys. Rev. B , vol.4 , pp. 1496
    • McMillan, W.L.1
  • 35
    • 5244357749 scopus 로고
    • W.L. McMillan, Phys. Rev. B 4, 1496 (1976); V.L. Pokrovcky and A.L. Talapov, Zh. Éksp. Teor. Fiz. 75, 1151 (1978) [Sov. Phys. JETP 48, 579 (1978)]; A.D. Novaco, Phys. Rev. B 22, 1645 (1980); T. Janssen and J.A. Tjom, ibid. 25, 3767 (1982).
    • (1978) Zh. Éksp. Teor. Fiz. , vol.75 , pp. 1151
    • Pokrovcky, V.L.1    Talapov, A.L.2
  • 36
    • 5244357749 scopus 로고
    • W.L. McMillan, Phys. Rev. B 4, 1496 (1976); V.L. Pokrovcky and A.L. Talapov, Zh. Éksp. Teor. Fiz. 75, 1151 (1978) [Sov. Phys. JETP 48, 579 (1978)]; A.D. Novaco, Phys. Rev. B 22, 1645 (1980); T. Janssen and J.A. Tjom, ibid. 25, 3767 (1982).
    • (1978) Sov. Phys. JETP , vol.48 , pp. 579
  • 37
    • 0013171062 scopus 로고
    • W.L. McMillan, Phys. Rev. B 4, 1496 (1976); V.L. Pokrovcky and A.L. Talapov, Zh. Éksp. Teor. Fiz. 75, 1151 (1978) [Sov. Phys. JETP 48, 579 (1978)]; A.D. Novaco, Phys. Rev. B 22, 1645 (1980); T. Janssen and J.A. Tjom, ibid. 25, 3767 (1982).
    • (1980) Phys. Rev. B , vol.22 , pp. 1645
    • Novaco, A.D.1
  • 38
    • 0000116893 scopus 로고
    • W.L. McMillan, Phys. Rev. B 4, 1496 (1976); V.L. Pokrovcky and A.L. Talapov, Zh. Éksp. Teor. Fiz. 75, 1151 (1978) [Sov. Phys. JETP 48, 579 (1978)]; A.D. Novaco, Phys. Rev. B 22, 1645 (1980); T. Janssen and J.A. Tjom, ibid. 25, 3767 (1982).
    • (1982) Phys. Rev. B , vol.25 , pp. 3767
    • Janssen, T.1    Tjom, J.A.2
  • 43
    • 36149010628 scopus 로고
    • A. Pais and G.E. Uhlenbeck, Phys. Rev. 79, 145 (1950); T.D. Lee and G.C. Wick, Nucl. Phys. B9, 209 (1969); Phys. Rev. D 2, 1033 (1970); Chung-I Tan and Zai-Xin Xu, ibid. 30, 455 (1984); C. Liu, K. Jansen, and J. Kuti, Nucl. Phys. B (Proc. Suppl.) 34, 635 (1994); 42, 630 (1995).
    • (1950) Phys. Rev. , vol.79 , pp. 145
    • Pais, A.1    Uhlenbeck, G.E.2
  • 44
    • 0000625375 scopus 로고
    • A. Pais and G.E. Uhlenbeck, Phys. Rev. 79, 145 (1950); T.D. Lee and G.C. Wick, Nucl. Phys. B9, 209 (1969); Phys. Rev. D 2, 1033 (1970); Chung-I Tan and Zai-Xin Xu, ibid. 30, 455 (1984); C. Liu, K. Jansen, and J. Kuti, Nucl. Phys. B (Proc. Suppl.) 34, 635 (1994); 42, 630 (1995).
    • (1969) Nucl. Phys. , vol.B9 , pp. 209
    • Lee, T.D.1    Wick, G.C.2
  • 45
    • 4243484830 scopus 로고
    • A. Pais and G.E. Uhlenbeck, Phys. Rev. 79, 145 (1950); T.D. Lee and G.C. Wick, Nucl. Phys. B9, 209 (1969); Phys. Rev. D 2, 1033 (1970); Chung-I Tan and Zai-Xin Xu, ibid. 30, 455 (1984); C. Liu, K. Jansen, and J. Kuti, Nucl. Phys. B (Proc. Suppl.) 34, 635 (1994); 42, 630 (1995).
    • (1970) Phys. Rev. D , vol.2 , pp. 1033
  • 46
    • 4243931490 scopus 로고
    • A. Pais and G.E. Uhlenbeck, Phys. Rev. 79, 145 (1950); T.D. Lee and G.C. Wick, Nucl. Phys. B9, 209 (1969); Phys. Rev. D 2, 1033 (1970); Chung-I Tan and Zai-Xin Xu, ibid. 30, 455 (1984); C. Liu, K. Jansen, and J. Kuti, Nucl. Phys. B (Proc. Suppl.) 34, 635 (1994); 42, 630 (1995).
    • (1984) Phys. Rev. D , vol.30 , pp. 455
    • Tan, C.-I.1    Xu, Z.-X.2
  • 47
    • 33750274086 scopus 로고
    • A. Pais and G.E. Uhlenbeck, Phys. Rev. 79, 145 (1950); T.D. Lee and G.C. Wick, Nucl. Phys. B9, 209 (1969); Phys. Rev. D 2, 1033 (1970); Chung-I Tan and Zai-Xin Xu, ibid. 30, 455 (1984); C. Liu, K. Jansen, and J. Kuti, Nucl. Phys. B (Proc. Suppl.) 34, 635 (1994); 42, 630 (1995).
    • (1994) Nucl. Phys. B (Proc. Suppl.) , vol.34 , pp. 635
    • Liu, C.1    Jansen, K.2    Kuti, J.3
  • 48
    • 21844497820 scopus 로고
    • A. Pais and G.E. Uhlenbeck, Phys. Rev. 79, 145 (1950); T.D. Lee and G.C. Wick, Nucl. Phys. B9, 209 (1969); Phys. Rev. D 2, 1033 (1970); Chung-I Tan and Zai-Xin Xu, ibid. 30, 455 (1984); C. Liu, K. Jansen, and J. Kuti, Nucl. Phys. B (Proc. Suppl.) 34, 635 (1994); 42, 630 (1995).
    • (1995) Nucl. Phys. B (Proc. Suppl.) , vol.42 , pp. 630


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