Asymptotic behaviour of two-point functions in multi-species models

Autor: Karol K. Kozlowski, Eric Ragoucy

Publikováno v: Nuclear Physics B, Vol 906, Iss C, Pp 241-288 (2016)

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: https://doaj.org/article/0f8f4f51613e479aa4681c88ac1ff73a

Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE

Autor: Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier

Publikováno v: SciPost Physics, Vol 5, Iss 4, p 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 u

Externí odkaz: https://doaj.org/article/39334c778dff4705a24fe5bec13d8916

ompleteness of SoV Representation for SL(2,R) Spin Chains

Autor: Sergey E. Derkachov, Karol K. Kozlowski, Alexander N. Manashov

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications.

This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0b16b2aef99a9b465cae60534516b60f
https://doi.org/10.3842/sigma.2021.063

Large deviations of energy transfers in nonequilibrium CFT and asymptotics of non-local Riemann–Hilbert problems

Autor: Krzysztof Gawȩdzki, Karol K. Kozlowski

Publikováno v: Analysis and Mathematical Physics
Analysis and Mathematical Physics, 2021, 11 (2), ⟨10.1007/s13324-021-00523-2⟩
Analysis and Mathematical Physics, Birkhäuser, 2021, 11 (2), ⟨10.1007/s13324-021-00523-2⟩

A wide class of $1+1$ dimensional unitary conformal field theories allows for an explicit construction of nonequilibrium "profile states" interpolating smoothly between different equilibria on the left and on the right. It has been recently establish

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a68a4f7bb3aefb174662df39a6f8ca4
https://doi.org/10.1007/s13324-021-00523-2

Dressed energy of the XXZ chain in the complex plane

Autor: Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski

Publikováno v: Letters in Mathematical Physics
Letters in Mathematical Physics, 2021, 111, pp.132. ⟨10.1007/s11005-021-01473-3⟩

We consider the dressed energy $\varepsilon$ of the XXZ chain in the massless antiferromagnetic parameter regime at $0 < \Delta < 1$ and at finite magnetic field. This function is defined as a solution of a Fredholm integral equation of the second ki

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c0a37595b6c78643896c0c187fdac29