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Volumn 2012, Issue 1, 2012, Pages

On the Yang-Lee and Langer singularities in the O(n) loop model

Author keywords

finite size scaling; loop models and polymers; matrix models; random lattices (surfaces)

Indexed keywords


EID: 84856935542     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2012/01/P01024     Document Type: Article
Times cited : (4)

References (40)
  • 1
    • 36149023450 scopus 로고
    • Statistical theory of equations of state and phase transitions. 1. Theory of condensation
    • Yang C-N and Lee T 1952 Statistical theory of equations of state and phase transitions. 1. Theory of condensation Phys. Rev. 87 404
    • (1952) Phys. Rev. , vol.87 , Issue.3 , pp. 404
    • Yang, C.-N.1    Lee, T.2
  • 2
    • 0000704106 scopus 로고
    • Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model
    • Lee T D and Yang C N 1952 Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model Phys. Rev. 87 410
    • (1952) Phys. Rev. , vol.87 , Issue.3 , pp. 410
    • Lee, T.D.1    Yang, C.N.2
  • 3
    • 4243157424 scopus 로고
    • Yang-Lee edge singularity and 3 field theory
    • Fisher ME 1978 Yang-Lee edge singularity and 3 field theory Phys. Rev. Lett. 40 1610
    • (1978) Phys. Rev. Lett. , vol.40 , Issue.25 , pp. 1610
    • Fisher, M.E.1
  • 4
    • 0000477528 scopus 로고
    • Conformal invariance and the Yang-Lee edge singularity in two-dimensions
    • Cardy J L 1985 Conformal invariance and the Yang-Lee edge singularity in two-dimensions Phys. Rev. Lett. 54 1354
    • (1985) Phys. Rev. Lett. , vol.54 , Issue.13 , pp. 1354
    • Cardy, J.L.1
  • 5
    • 29444451132 scopus 로고
    • Theory of the condensation point
    • Langer J 1967 Theory of the condensation point Ann. Phys., NY 41 108
    • (1967) Ann. Phys., NY , vol.41 , Issue.1 , pp. 108
    • Langer, J.1
  • 6
    • 0000782086 scopus 로고
    • Statistical theory of the decay of metastable states1
    • Langer J 1969 Statistical theory of the decay of metastable states1 Ann. Phys., NY 54 258
    • (1969) Ann. Phys., NY , vol.54 , Issue.2 , pp. 258
    • Langer, J.1
  • 7
    • 0000864481 scopus 로고
    • Truncated fermionic space approach to the critical 2D Ising model with magnetic field
    • Yurov V P and Zamolodchikov A B 1991 Truncated fermionic space approach to the critical 2D Ising model with magnetic field Int. J. Mod. Phys. A 6 4557
    • (1991) Int. J. Mod. Phys. , vol.6 , Issue.25 , pp. 4557
    • Yurov, V.P.1    Zamolodchikov, A.B.2
  • 9
    • 0001387583 scopus 로고
    • Fate of the false vacuum: Semiclassical theory
    • Coleman S 1977 Fate of the false vacuum: semiclassical theory Phys. Rev. D 15 2929
    • (1977) Phys. Rev. , vol.15 , Issue.10 , pp. 2929
    • Coleman, S.1
  • 10
    • 19644367467 scopus 로고
    • The fate of the false vacuum. 2. First quantum corrections
    • Callan J, Curtis G and Coleman SR 1977 The fate of the false vacuum. 2. First quantum corrections Phys. Rev. D 16 1762
    • (1977) Phys. Rev. , vol.16 , Issue.6 , pp. 1762
    • Callan, J.1    Curtis, G.2    Coleman, S.R.3
  • 11
    • 64549100615 scopus 로고    scopus 로고
    • Variational approach to the scaling function of the 2D Ising model in a magnetic field
    • Mangazeev V V, Batchelor M T, Bazhanov V V and Dudalev M Y 2009 Variational approach to the scaling function of the 2D Ising model in a magnetic field J. Phys. A: Math. Theor. 42 042005 arXiv:0811.3271
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 042005
    • Mangazeev, V.V.1    Batchelor, M.T.2    Bazhanov, V.V.3    Dudalev, M.Y.4
  • 12
    • 43149118134 scopus 로고    scopus 로고
    • Analytic properties of the free energy: The tricritical Ising model
    • Mossa A and Mussardo G 2008 Analytic properties of the free energy: the tricritical Ising model J. Stat. Mech. P03010 arXiv:0710.0991
    • (2008) J. Stat. Mech. , vol.2008 , Issue.3 , pp. 03010
    • Mossa, A.1    Mussardo, G.2
  • 13
    • 4243226043 scopus 로고
    • Quantum geometry of bosonic strings
    • Polyakov A M 1981 Quantum geometry of bosonic strings Phys. Lett. B 103 207
    • (1981) Phys. Lett. , vol.103 , Issue.3 , pp. 207
    • Polyakov, A.M.1
  • 15
    • 0000567226 scopus 로고
    • Conformal field theories coupled to 2d gravity in the conformal gauge
    • David F 1988 Conformal field theories coupled to 2d gravity in the conformal gauge Mod. Phys. Lett. A 3 1651
    • (1988) Mod. Phys. Lett. , vol.3 , Issue.17 , pp. 1651
    • David, F.1
  • 16
    • 33646060263 scopus 로고
    • Conformal field theory and 2D quantum gravity
    • Distler J and Kawai H 1989 Conformal field theory and 2D quantum gravity Nucl. Phys. B 321 509
    • (1989) Nucl. Phys. , vol.321 , Issue.2 , pp. 509
    • Distler, J.1    Kawai, H.2
  • 17
    • 0000472731 scopus 로고
    • The Ising model on random planar lattice: The structure of phase transition and the exact critical exponents
    • Boulatov D and Kazakov V 1987 The Ising model on random planar lattice: the structure of phase transition and the exact critical exponents Phys. Lett. B 186 379
    • (1987) Phys. Lett. , vol.186 , Issue.3-4 , pp. 379
    • Boulatov, D.1    Kazakov, V.2
  • 18
    • 0001101570 scopus 로고
    • The Yang-Lee edge singularity on a dynamical planar random surface
    • Staudacher M 1990 The Yang-Lee edge singularity on a dynamical planar random surface Nucl. Phys. B 336 349
    • (1990) Nucl. Phys. , vol.336 , Issue.3 , pp. 349
    • Staudacher, M.1
  • 19
    • 0000022804 scopus 로고
    • The Ising model, the Yang-Lee edge singularity, and 2D quantum gravity
    • Crnkovic C, Ginsparg P H and Moore G W 1990 The Ising model, the Yang-Lee edge singularity, and 2D quantum gravity Phys. Lett. B 237 196
    • (1990) Phys. Lett. , vol.237 , Issue.2 , pp. 196
    • Crnkovic, C.1    Ginsparg, P.H.2    Moore, G.W.3
  • 20
    • 0002793332 scopus 로고
    • The Ising model coupled to 2d gravity: A nonperturbative analysis
    • Brezin E, Douglas M R, Kazakov V and Shenker S H 1990 The Ising model coupled to 2d gravity: a nonperturbative analysis Phys. Lett. B 237 43
    • (1990) Phys. Lett. , vol.237 , Issue.1 , pp. 43
    • Brezin, E.1    Douglas, M.R.2    Kazakov, V.3    Shenker, S.H.4
  • 23
    • 0001703559 scopus 로고
    • O(n) vector model on a planar random surface: Spectrum of anomalous dimensions
    • Kostov I 1989 O(n) vector model on a planar random surface: spectrum of anomalous dimensions Mod. Phys. Lett. A 4 217
    • (1989) Mod. Phys. Lett. , vol.4 , Issue.3 , pp. 217
    • Kostov, I.1
  • 24
    • 0001076254 scopus 로고
    • Duality relations and equivalences for models with O(n) and cubic symmetry
    • Domany E, Mukamel D, Nienhuis B and Schwimmer A 1981 Duality relations and equivalences for models with O(n) and cubic symmetry Nucl. Phys. B 190 279
    • (1981) Nucl. Phys. , vol.190 , Issue.2 , pp. 279
    • Domany, E.1    Mukamel, D.2    Nienhuis, B.3    Schwimmer, A.4
  • 25
    • 0000442326 scopus 로고
    • Exact critical point and critical exponents of O(n) models in two dimensions
    • Nienhuis B 1982 Exact critical point and critical exponents of O(n) models in two dimensions Phys. Rev. Lett. 49 1062
    • (1982) Phys. Rev. Lett. , vol.49 , Issue.15 , pp. 1062
    • Nienhuis, B.1
  • 27
    • 0000799485 scopus 로고    scopus 로고
    • An intersecting loop model as a solvable superspin chain
    • Martins M J, Nienhuis B and Rietman R 1998 An intersecting loop model as a solvable superspin chain Phys. Rev. Lett. 81 504 arXiv:cond-mat/9709051
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.3 , pp. 504
    • Martins, M.J.1    Nienhuis, B.2    Rietman, R.3
  • 28
    • 0037424189 scopus 로고    scopus 로고
    • Dense loops, supersymmetry, and Goldstone phases in two dimensions
    • Jacobsen J L, Read N and Saleur H 2003 Dense loops, supersymmetry, and Goldstone phases in two dimensions Phys. Rev. Lett. 90 090601 arXiv:cond-mat/0205033
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.9 , pp. 090601
    • Jacobsen, J.L.1    Read, N.2    Saleur, H.3
  • 29
    • 29444434031 scopus 로고
    • Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
    • Nienhuis B 1984 Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas J. Stat. Phys. 34 731
    • (1984) J. Stat. Phys. , vol.34 , Issue.5-6 , pp. 731
    • Nienhuis, B.1
  • 30
    • 18344368736 scopus 로고
    • Magnetic properties of the two-dimensional n = 0 vector model
    • Saleur H 1987 Magnetic properties of the two-dimensional n = 0 vector model Phys. Rev. B 35 3657
    • (1987) Phys. Rev. , vol.35 , Issue.7 , pp. 3657
    • Saleur, H.1
  • 31
    • 4243772366 scopus 로고
    • Critical behavior of the n-component cubic model and the Ashkin-Teller fixed line
    • Nienhuis B, Riedel E and Schick M 1983 Critical behavior of the n-component cubic model and the Ashkin-Teller fixed line Phys. Rev. B 27 5625
    • (1983) Phys. Rev. , vol.27 , Issue.9 , pp. 5625
    • Nienhuis, B.1    Riedel, E.2    Schick, M.3
  • 32
    • 0001024607 scopus 로고
    • Exact surface and wedge exponents for polymers in two dimensions
    • Duplantier B and Saleur H 1986 Exact surface and wedge exponents for polymers in two dimensions Phys. Rev. Lett. 57 3179
    • (1986) Phys. Rev. Lett. , vol.57 , Issue.25 , pp. 3179
    • Duplantier, B.1    Saleur, H.2
  • 33
    • 26644440711 scopus 로고
    • Dependence of critical properties on dimensionality of spins
    • Stanley H E 1968 Dependence of critical properties on dimensionality of spins Phys. Rev. Lett. 20 589
    • (1968) Phys. Rev. Lett. , vol.20 , Issue.12 , pp. 589
    • Stanley, H.E.1
  • 34
    • 0001015821 scopus 로고
    • Yang-Lee edge singularities at high temperatures
    • Kurtze D and Fisher M 1979 Yang-Lee edge singularities at high temperatures Phys. Rev. B 20 2785
    • (1979) Phys. Rev. , vol.20 , Issue.7 , pp. 2785
    • Kurtze, D.1    Fisher, M.2
  • 35
    • 0001754428 scopus 로고
    • Massless flows. 1. The sine-Gordon and O(n) models
    • Fendley P, Saleur H and Zamolodchikov A B 1993 Massless flows. 1. The sine-Gordon and O(n) models Int. J. Mod. Phys. A 8 5717 arXiv:hep-th/9304050
    • (1993) Int. J. Mod. Phys. , vol.8 , Issue.32 , pp. 5717
    • Fendley, P.1    Saleur, H.2    Zamolodchikov, A.B.3
  • 37
    • 0001732162 scopus 로고
    • Decay of false vacuum in (1 + 1)-dimensions
    • Voloshin M B 1985 Decay of false vacuum in (1 + 1)-dimensions Yad. Fiz. 42 1017
    • (1985) Yad. Fiz. , vol.42 , pp. 1017
    • Voloshin, M.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.