Universal amplitude ratios of the renormalization group: two-dimensional tricritical Ising model
Related Experiment Video
Updated: Oct 8, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
D Fioravanti1, G Mussardo, P Simon
1International School for Advanced Studies, Trieste, Italy.
Abstract:
The scaling form of the free energy near a critical point allows for the definition of various thermodynamical amplitudes and the determination of their dependence on the microscopic nonuniversal scales. Universal quantities can be obtained by considering special combinations of the amplitudes. Together with the critical exponents they characterize the universality classes and may be useful quantities for their experimental identification. We compute the universal amplitude ratios for the tricritical Ising model in two dimensions by using several theoretical methods from perturbed conformal field theory and scattering integrable quantum field theory. The theoretical approaches are further supported and integrated by results coming from a numerical determination of the energy eigenvalues and eigenvectors of off-critical systems in an infinite cylinder.
Related Concept Videos
Dimensionless Groups in Fluid Mechanics
Law of Rational Indices
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

