Lattice Realization of Complex Conformal Field Theories: Two-Dimensional Potts Model with Q > 4 States 1

被引：2
|
作者：
Jacobsen, Jesper Lykke [1 ,2 ,3 ]
Wiese, Kay Jorg [1 ]
机构：
[1] Univ Paris Cite, PSL Res Univ, Sorbonne Univ, CNRS,Lab Phys,Ecole Normale Super, 24 Rue Lhomond, F-75005 Paris, France
[2] Sorbonne Univ, Ecole Normale Super, CNRS, Lab Phys LPENS, F-75005 Paris, France
[3] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, Batiment 774, F-91191 Gif Sur Yvette, France
来源：
PHYSICAL REVIEW LETTERS | 2024年 / 133卷 / 07期
关键词：
INVARIANCE; CHARGE;
D O I：
10.1103/PhysRevLett.133.077101
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The two-dimensional Q- state Potts model with real couplings has a first-order transition for Q > 4. We study a loop-model realization in which Q is a continuous parameter. This model allows for the collision of a critical and a tricritical fixed point at Q = 4, which then emerge as complex conformally invariant theories at Q > 4, or even complex Q, for suitable complex coupling constants. All critical exponents can be obtained as analytic continuation of known exact results for Q <= 4. We verify this scenario in detail for Q = 5 using transfer-matrix computations.
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页数：6
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