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The one and two-particle form factors of the energy operator in the two-dimensional Ising model in a magnetic field at $T=T_c$ are exactly computed within the form factor bootstrap approach. Together with the matrix elements of the…

High Energy Physics - Theory · Physics 2009-10-30 G. Delfino , P. Simonetti

We discribe a simple way to derive spin correlation functions in 2D Ising model at critical temperature but with nonzero magnetic field at the boundary. Local magnetization (i.e. one-point function) is computed explicitly for half-plane and…

High Energy Physics - Theory · Physics 2015-06-26 R. Chatterjee , A. Zamolodchikov

We suggest the new definition of the magnetization. For the two - dimensional Ising model with the free boundary conditions we calculate this magnetization.

Statistical Mechanics · Physics 2007-05-23 Yury M. Zinoviev

We suggest the new definition of the magnetization. For the two - dimensional Ising model with the free boundary conditions we calculate any derivative of this magnetization for zero magnetic field.

Statistical Mechanics · Physics 2007-05-23 Yu. M. Zinoviev

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

Exactly Solvable and Integrable Systems · Physics 2011-11-10 A. I. Bugrij , O. Lisovyy

The bulk and boundary magnetizations are calculated for the critical Ising model on a randomly triangulated disk in the presence of a boundary magnetic field h. In the continuum limit this model corresponds to a c = 1/2 conformal field…

High Energy Physics - Theory · Physics 2008-11-26 Sean M. Carroll , Miguel E. Ortiz , Washington Taylor

We compute the exact partition function, the universal ground state degeneracy and boundary state of the 2-D Ising model with boundary magnetic field at off-critical temperatures. The model has a domain that exhibits states localized near…

High Energy Physics - Theory · Physics 2009-10-28 R. Chatterjee

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

The correlation functions are calculated for the two dimensional Ising model with free boundary conditions and the two dimensional Ising model with periodic boundary conditions.

Condensed Matter · Physics 2007-05-23 Yu. M. Zinoviev

In this article we obtain some exact results for the 2D Ising model with a general boundary magnetic field and for a finite size system, by an alternative method to that developed by B. McCoy and T.T. Wu. This method is a generalization of…

Statistical Mechanics · Physics 2007-05-23 Maxime Clusel , Jean-Yves Fortin

We analyze the Ising model on a random surface with a boundary magnetic field using matrix model techniques. We are able to exactly calculate the disk amplitude, boundary magnetization and bulk magnetization in the presence of a boundary…

High Energy Physics - Theory · Physics 2008-11-26 Sean Carroll , Miguel Ortiz , Washington Taylor

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

We compute the exact partition function of the 2D Ising Model at critical temperature but with nonzero magnetic field at the boundary. The model describes a renormalization group flow between the free and fixed conformal boundary conditions…

High Energy Physics - Theory · Physics 2009-10-28 R. Chatterjee

The partition function and magnetization equations are derived for the two-dimensional nearest neighbour Ising models in a magnetic field.

General Physics · Physics 2013-02-06 M. V. Sangaranarayanan

The partition functions of ferromagnetic Ising models of square lattices in a finite magnetic field is deduced using topological considerations within a heuristic graph-theoretical approach. These equations are derived separately for low…

Statistical Mechanics · Physics 2026-01-15 M V Vismaya , M V Sangaranarayanan

We extend the well-known method of calculating bulk correlation functions of the conformal Ising model via bosonisation to situations with boundaries. Oshikawa and Affleck have found the boundary states of two decoupled Ising models in…

High Energy Physics - Theory · Physics 2009-10-31 G. M. T. Watts

We study the correlation function of the one-dimensional Ising model at fixed magnetization. Focusing on the scaling limit close to the zero-temperature fixed point, we show that this correlation function, in momentum space, exhibits…

Statistical Mechanics · Physics 2025-11-19 Ivan Balog , Adam Rançon

The correlation function of the two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor expansion are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

We consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontinuously along the boundary. We assume zero magnetic field in…

High Energy Physics - Theory · Physics 2022-11-23 Anatoly Konechny

The description of a three-dimensional Ising-like magnet in the presence of an external field in the vicinity of the critical point by the collective variables method is proposed. Using the renormalization group transformations, the scaling…

High Energy Physics - Theory · Physics 2009-11-11 M. P. Kozlovskii , I. V. Pylyuk , O. O. Prytula
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