Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.133.077101

Authors: Jesper Lykke Jacobsen, Kay Jörg Wiese

Institutions: École Normale Supérieure - PSL, Sorbonne Université, Institut de Physique Théorique

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: National Science Foundation, Agence Nationale de la Recherche, Kavli Institute for Theoretical Physics, University of California, Santa Barbara