Lattice Realization of Complex Conformal Field Theories: Two-Dimensional Potts Model with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi><mml:mo>></mml:mo><mml:mn>4</mml:mn></mml:math> States
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.
Authors
- Jesper Lykke Jacobsen (ORCID: https://orcid.org/0000-0002-7615-2874)
- Kay Jörg Wiese (ORCID: https://orcid.org/0000-0002-9270-4990)
Institutions
- Sorbonne Université (FR)
- École Normale Supérieure (BI)
- Institut de Physique Théorique (FR)
- Laboratoire Médiations (FR)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2024-08-16
- DOI
- https://doi.org/10.1103/physrevlett.133.077101
- Citations
- 12
- Primary Topic
- Physics of Superconductivity and Magnetism
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- National Science Foundation
- Agence Nationale de la Recherche
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara