Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Bazhanov, Vladimir V."'
In this paper we present a new solution of the star-triangle relation having positive Boltzmann weights. The solution defines an exactly solvable two-dimensional Ising-type (edge interaction) model of statistical mechanics where the local "spin varia
Externí odkaz:
http://arxiv.org/abs/2310.08427
Publikováno v:
Physical Review E 108, 064136 (2023)
We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling function and
Externí odkaz:
http://arxiv.org/abs/2308.15113
We show that the celebrated six-vertex model of statistical mechanics (along with its multistate generalizations) can be reformulated as an Ising-type model with only a two-spin interaction. Such a reformulation unravels remarkable factorization prop
Externí odkaz:
http://arxiv.org/abs/2205.10708
This work concerns the quantum Lorentzian and Euclidean black hole non-linear sigma models. For the Euclidean black hole sigma model an equilibrium density matrix is proposed, which reproduces the modular invariant partition function from the 2001 pa
Externí odkaz:
http://arxiv.org/abs/2010.10603
Publikováno v:
SIGMA 17 (2021), 025, 29 pages
The inhomogeneous six-vertex model is a 2$D$ multiparametric integrable statistical system. In the scaling limit it is expected to cover different classes of critical behaviour which, for the most part, have remained unexplored. For general values of
Externí odkaz:
http://arxiv.org/abs/2010.10615
The work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a numerical analysis of the Bethe ansatz equations as well as the powerful
Externí odkaz:
http://arxiv.org/abs/2010.10613
Publikováno v:
J. Phys. A: Math. Theor. 54 (2021) 12LT01 (10pp)
The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $\epsilon\in\frac{1}{2}\mathbb{Z}$ of the bias parameter $\epsilon$. Such level crossings are expected to be associated with some hidden symmetry of
Externí odkaz:
http://arxiv.org/abs/2010.02496
In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of th
Externí odkaz:
http://arxiv.org/abs/1903.05033
A common approach to the quantization of integrable models starts with the formal substitution of the Yang-Baxter Poisson algebra with its quantum version. However it is difficult to discern the presence of such an algebra for the so-called non-ultra
Externí odkaz:
http://arxiv.org/abs/1805.07417
The Bukhvostov-Lipatov model is an exactly soluble model of two interacting Dirac fermions in 1+1 dimensions. The model describes weakly interacting instantons and anti-instantons in the $O(3)$ non-linear sigma model. In our previous work [arXiv:1607
Externí odkaz:
http://arxiv.org/abs/1711.09021