## 14 Citations

### Finite temperature results on the 2D Ising model with mixed perturbation

- Physics, Mathematics
- 2004

A numerical study of finite temperature features of thermodynamical observables is performed for the lattice 2D Ising model. Our results support the conjecture that the finite size scaling analysis…

### Amplitude ratios for the mass spectrum of the 2D Ising model in the highT,H≠ 0 phase

- Physics
- 2004

We study the behaviour of the 2D Ising model in the symmetric high temperature phase in the presence of a small magnetic perturbation. We successfully compare the quantum field theory predictions for…

### LETTER TO THE EDITOR: On the magnetic perturbation of the Ising model on the sphere

- Physics
- 2003

In this letter we will extend the analysis given by Zamolodchikov for the scaling Yang–Lee model on the sphere to the Ising model in a magnetic field. A numerical study of the partition function and…

### 2 O ct 2 00 2 Finite temperature results on the Ising model with mixed perturbation

- Physics
- 2002

We study the finite temperature features of the thermodynamical observables of the Ising model with mixed perturbation.

### Particle Decay in Ising Field Theory with Magnetic Field

- Physics
- 2009

The scaling limit of the two-dimensional Ising model in the plane of temperature and magnetic field defines a field theory which provides the simplest illustration of non-trivial phenomena such as…

### Integrable field theory and critical phenomena: The Ising model in a magnetic field

- Physics
- 2003

The two-dimensional Ising model is the simplest model of statistical mechanics exhibiting a second-order phase transition. While in absence of magnetic field it is known to be solvable on the lattice…

### Les études in Ising field theory and related problems

- Physics
- 2011

OF THE DISSERTATION LES ÉTUDES IN ISING FIELD THEORY AND RELATED PROBLEMS by ISKANDER ZIYATDINOV Dissertation Director: Alexander Zamolodchikov The main subject of this thesis is the Ising field…

### Ising Spectroscopy I: Mesons at T

- Physics
- 2006

This paper is our progress report on the project “Ising spectroscopy”, de-voted to a systematic study of the mass spectrum of particles in the 2D Ising Field Theory in a magnetic ﬁeld. Here we…

## References

SHOWING 1-10 OF 60 REFERENCES

### The critical equation of state of the 2-D ising model

- Physics
- 2000

We compute the 2n-point coupling constants in the high-temperature phase of
the 2d Ising model by using transfer-matrix techniques. This provides the first
few terms of the expansion of the…

### High-precision estimate of g4 in the 2D Ising model

- Physics
- 2000

We compute the renormalized four-point coupling in the 2d Ising model using
transfer-matrix techniques. We greatly reduce the systematic uncertainties
which usually affect this type of calculations…

### Irrelevant operators in the two-dimensional Ising model

- Physics, Mathematics
- 2002

By using conformal-field theory, we classify the possible irrelevant operators for the Ising model with nearest-neighbour interactions on the square and triangular lattices. We analyse the existing…

### Two-dimensional Ising Field Theory in a Magnetic Field: Breakup of the Cut in the Two Point Function

- Physics
- 1978

We demonstrate that the cut which is present as the leading singularity in the two-point function of the Ising field theory for T < T/sub c/ and H not = 0 breaks up into a sequence of poles for H =…

### CORRELATION FUNCTIONS OF INTEGRABLE 2D MODELS OF THE RELATIVISTIC FIELD THEORY: ISING MODEL

- Physics
- 1991

A program is proposed to study numerically the correlation functions in massive integrable 2D relativistic field theories. It relies crucially on the exact form factors of fields which can be…

### Integrals of Motion and S-Matrix of the (scaled) T = T c Ising Model with Magnetic Field

- Physics, Mathematics
- 1989

It is shown that the field theory describing the scaling limit of T = Tc Ising model with nonzero magnetic field possesses a number of nontrivial local integrals of motion. The exact mass spectrum…

### Ising Field Theory in a Magnetic Field: Analytic Properties of the Free Energy

- Physics
- 2001

We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain T→Tc, H→0. The analysis is based on numerical data obtained through the…