Zobrazeno 1 - 10
of 2 221
pro vyhledávání: '"Kozlowski, K"'
Autor:
Göhmann, F., Kozlowski, K. K.
Publikováno v:
J. Stat. Mech. (2024) P033101
This work proposes a closed formula for the leading term of the long-distance and large-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ spin 1/2 chain at finite temperatures. The result
Externí odkaz:
http://arxiv.org/abs/2311.17196
Autor:
Kozlowski, K. K.
This paper develops a technique allowing one to prove the convergence of a class of series of multiple integrals which corresponds to the form factor expansion of two-point functions in the 1+1 dimensional massive integrable Sinh-Gordon quantum field
Externí odkaz:
http://arxiv.org/abs/2007.01740
We derive the large distance asymptotics of the Fredholm determinant of the so-called generalised sine kernel at the critical point. This kernel corresponds to a generalisation of the pure sine kernel arising in the theory of random matrices and has
Externí odkaz:
http://arxiv.org/abs/1905.04907
Autor:
Kozlowski, K. K.
This work extracts, by means of an exact analysis, the singular behaviour of the dynamical response functions -- the Fourier transforms of dynamical two-point functions -- in the vicinity of the various excitation thresholds in the massless regime of
Externí odkaz:
http://arxiv.org/abs/1811.06076
Publikováno v:
SciPost Phys. 5, 035 (2018)
We construct a basis of solutions of the scalar $\boldsymbol{ \texttt{t} }- \boldsymbol{ \texttt{Q} }$ equation describing the spectrum of the $q$-Toda and Toda$_2$ chains by using auxiliary non-linear integral equations. Our construction allows us t
Externí odkaz:
http://arxiv.org/abs/1804.01749
We construct the Baxter operator $\boldsymbol{ \texttt{Q} }(\lambda)$ for the $q$-Toda chain and the Toda$_2$ chain (the Toda chain in the second Hamiltonian structure). Our construction builds on the relation between the Baxter operator and B\"acklu
Externí odkaz:
http://arxiv.org/abs/1803.06196
We show that a natural discretisation of Virasoro algebra yields a quantum integrable model which is the Toda chain in the second Hamiltonian structure.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1803.05813
Autor:
Kozlowski, K. K.
This work constructs a well-defined and operational form factor expansion in a model having a massless spectrum of excitations. More precisely, the dynamic two-point functions in the massless regime of the XXZ spin-1/2 chain are expressed in terms of
Externí odkaz:
http://arxiv.org/abs/1706.09459
Publikováno v:
Publications of the Astronomical Society of the Pacific, 2020 Sep 01. 132(1015), 1-16.
Externí odkaz:
https://www.jstor.org/stable/26973309
Autor:
Kozlowski, K. K., Ragoucy, E.
Publikováno v:
Nucl. Phys. B906 (2016) 241
We extract the long-distance asymptotic behaviour of two-point correlation functions in massless quantum integrable models containing multi-species excitations. For such a purpose, we extend to these models the method of a large-distance regime re-su
Externí odkaz:
http://arxiv.org/abs/1601.04475