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The end of c=1 CFT

Kiyohide Nomura
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Abstract

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 $v, 1/K \propto \sqrt{Δ_c -Δ}$ under reasonable assumptions.

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Kiyohide Nomura. 1996-05-11. The end of c=1 CFT. https://arxiv.org/abs/cond-mat/9605070

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