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Volumn 14, Issue , 2009, Pages 1705-1726

Spontaneous breaking of continuous rotational symmetry in two dimensions

Author keywords

Continuous symmetry; Gibbs measure; Rotation; Spontaneous symmetry breaking

Indexed keywords


EID: 70349445210     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v14-671     Document Type: Article
Times cited : (15)

References (14)
  • 1
    • 21844500767 scopus 로고
    • On the slow decay of O(2) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model
    • M. Aizenman. On the slow decay of O(2) correlations in the absence of topological excitations: remark on the Patrascioiu-Seiler model. J. Statist. Phys., 77(1-2):351-359, 1994.
    • (1994) J. Statist. Phys. , vol.77 , Issue.1-2 , pp. 351-359
    • Aizenman, M.1
  • 2
    • 34547166385 scopus 로고    scopus 로고
    • A solidification phenomenon in random packings
    • (electronic)
    • L. Bowen, R. Lyons, C. Radin, and P Winkler. A solidification phenomenon in random packings. SIAM J. Math. Anal., 38(4):1075-1089 (electronic), 2006.
    • (2006) SIAM J. Math. Anal , vol.38 , Issue.4 , pp. 1075-1089
    • Bowen, L.1    Lyons, R.2    Radin, C.3    Winkler, P.4
  • 3
    • 0002871418 scopus 로고
    • Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics
    • R. L. Dobrushin and S. B. Shlosman. Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics. Comm. Math. Phys., 42:31-40, 1975.
    • (1975) Comm. Math. Phys. , vol.42 , pp. 31-40
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 4
    • 0001223968 scopus 로고
    • On the absence of spontaneous symmetry breaking and of crystalline ordering in two-dimensional systems
    • J. Fröhlich and C. Pfister. On the absence of spontaneous symmetry breaking and of crystalline ordering in two-dimensional systems. Comm. Math. Phys., 81(2):277-298, 1981.
    • (1981) Comm. Math. Phys. , vol.81 , Issue.2 , pp. 277-298
    • Fröhlich, J.1    Pfister, C.2
  • 5
    • 4244167012 scopus 로고
    • Absence of crystalline ordering in two dimensions
    • J. Fröhlich and C.-E. Pfister. Absence of crystalline ordering in two dimensions. Comm. Math. Phys., 104(4):697-700, 1986.
    • (1986) Comm. Math. Phys. , vol.104 , Issue.4 , pp. 697-700
    • Fröhlich, J.1    Pfister, C.-E.2
  • 6
    • 0002227287 scopus 로고
    • Infrared bounds, phase transitions and continuous symmetry breaking
    • J. Fröhlich, B. Simon, and T. Spencer. Infrared bounds, phase transitions and continuous symmetry breaking. Comm. Math. Phys., 50(1):79-95, 1976.
    • (1976) Comm. Math. Phys. , vol.50 , Issue.1 , pp. 79-95
    • Fröhlich, J.1    Simon, B.2    Spencer, T.3
  • 7
    • 16244362852 scopus 로고    scopus 로고
    • Translation invariance and continuous symmetries in two-dimensional continuum systems
    • World Sci. Publ., River Edge, NJ
    • H.-O. Georgii. Translation invariance and continuous symmetries in two-dimensional continuum systems. In Mathematical results in statistical mechanics (Marseilles, 1998), pages 53-69. World Sci. Publ., River Edge, NJ, 1999.
    • (1999) Mathematical Results in Statistical Mechanics (Marseilles, 1998) , pp. 53-69
    • Georgii, H.-O.1
  • 8
    • 0036005406 scopus 로고    scopus 로고
    • 2D models of statistical physics with continuous symmetry: The case of singular interactions
    • D. Ioffe, S. Shlosman, and Y. Velenik. 2D models of statistical physics with continuous symmetry: the case of singular interactions. Comm. Math. Phys., 226(2):433-454, 2002.
    • (2002) Comm. Math. Phys. , vol.226 , Issue.2 , pp. 433-454
    • Ioffe, D.1    Shlosman, S.2    Velenik, Y.3
  • 9
    • 33744691518 scopus 로고
    • Crystalline order in two dimensions
    • N.D. Mermin. Crystalline order in two dimensions. Phys. Rev., 176(1):250-254, 1968.
    • (1968) Phys. Rev. , vol.176 , Issue.1 , pp. 250-254
    • Mermin, N.D.1
  • 10
    • 0001158846 scopus 로고
    • Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic Heisenberg models
    • N.D. Mermin and H. Wagner. Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic Heisenberg models. Phys. Rev. Lett., 17(22):1133-1136, 1966.
    • (1966) Phys. Rev. Lett. , vol.17 , Issue.22 , pp. 1133-1136
    • Mermin, N.D.1    Wagner, H.2
  • 11
    • 4243366131 scopus 로고
    • Dislocation-mediated melting in two dimensions
    • D. R. Nelson and B. I. Halperin. Dislocation-mediated melting in two dimensions. Phys. Rev. B, 19(5):2457-2484, 1979.
    • (1979) Phys. Rev. B , vol.19 , Issue.5 , pp. 2457-2484
    • Nelson, D.R.1    Halperin, B.I.2
  • 12
    • 0000955256 scopus 로고
    • On the symmetry of the Gibbs states in two-dimensional lattice systems
    • C. E. Pfister. On the symmetry of the Gibbs states in two-dimensional lattice systems. Comm. Math. Phys., 79(2):181-188, 1981.
    • (1981) Comm. Math. Phys. , vol.79 , Issue.2 , pp. 181-188
    • Pfister, C.E.1
  • 13
    • 16244390234 scopus 로고    scopus 로고
    • Two-dimensional Gibbsian point processes with continuous spin symmetries
    • T. Richthammer. Two-dimensional Gibbsian point processes with continuous spin symmetries. Stochastic Process. Appl., 115(5):827-848, 2005.
    • (2005) Stochastic Process. Appl. , vol.115 , Issue.5 , pp. 827-848
    • Richthammer, T.1
  • 14
    • 60549106417 scopus 로고    scopus 로고
    • Translation invariance of two-dimensional Gibbsian systems of particles with internal degrees of freedom
    • T. Richthammer. Translation invariance of two-dimensional Gibbsian systems of particles with internal degrees of freedom. Stochastic Process. Appl., 119(3):700-736, 2009.
    • (2009) Stochastic Process. Appl , vol.119 , Issue.3 , pp. 700-736
    • Richthammer, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.