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3–28 mai 2021
Institut Pascal, Orsay, France & online
Fuseau horaire Europe/Paris

Upper critical dimension of the 3-state Potts model

11 mai 2021, 10:00
1h
Institut Pascal, Orsay, France & online

Institut Pascal, Orsay, France & online

Lecture / lecture series 2. Statistical physics targets

Orateur

Shai Chester (Weizmann Institute)

Description

The 3-state Potts model has a unitary second order phase transition in spacetime dimension d=2, which is defined by an exactly solvable minimal model called the critical Potts model. There is also another 2d minimal model called the tricritical Potts model which has the same symmetries but one extra relevant operator. As d increases, these two fixed points are expected to merge and go off into the complex plane, so that the unitary second order phase transition disappears.

We find non-perturbative evidence for this scenario from the numerical conformal bootstrap, which suggests that the critical Potts model disappears for d<3.

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