ar X iv : c on d - m at / 9 60 50 70 v 1 1 1 M ay 1 99 6

نویسنده

  • Kiyohide Nomura
چکیده

Conformal field theory (CFT) with the central charge c=1 is important both in the field theory and in the condensed matter physics, since it has the continuous internal symmetry (U(1) or SU(2)) and a marginal operator, and it is an effective theory of many 1D quantum spin and 1D electron systems. So it is valuable to understand how the c=1 CFT models become unstable. In this paper we discuss an instability of the c=1 CFT, that is, the transition to the ferromagnetic state. For the U(1) CFT case, we find that the spin wave velocity v and the critical dimension K behave v, 1/K ∝ √ ∆c −∆ under reasonable assumptions. PACS numbers: 75.40.Cx, 05.70.Fh, 11.10.Hi, 75.10.Jm

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تاریخ انتشار 2008