The Lattice $β$-function of Quantum Spin Chains

Details The Lattice $β$-function of Quantum Spin Chains The Lattice $β$-function of Quantum Spin Chains

2006-12-19

arxiv.org/abs/hep-th/0612200v1

J.Stat.Mech.0612:L12002,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1088/1742-5468/2006/12/L12002

We derive the lattice $\beta$-function for quantum spin chains, suitable for relating finite temperature Monte Carlo data to the zero temperature fixed points of the continuum nonlinear sigma model. Our main result is that the asymptotic freedom of this lattice $\beta$-function is responsible for the nonintegrable singularity in $\theta$, that prevents analytic continuation between $\theta=0$ and $\theta=\pi$.

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