Results 21 to 30 of about 260,310 (201)
Journal of High Energy Physics, 2020 We consider the so-called simplest correlation function of four infinitely heavy half-BPS operators in planar N $$ \mathcal{N} $$ = 4 SYM in the limit when the operators are light-like separated in a sequential manner.
A.V. Belitsky, G.P. Korchemsky
doaj +1 more source
From Multiple Integrals to Fredholm Determinants [PDF]
Progress of Theoretical Physics Supplement, 2008 We consider a multiple integral representation for the finite temperature density-density correlation functions of the one-dimensional Bose gas with delta function interaction in the limits of infinite and vanishing repulsion. In the former case a known Fredholm determinant is recovered.
Seel, Alexander +2 more
openaire +2 more sources
Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel [PDF]
Communications in Mathematical Physics, 2021 The Pearcey kernel is a classical and universal kernel arising from random matrix theory, which describes the local statistics of eigenvalues when the limiting mean eigenvalue density exhibits a cusp-like singularity. It appears in a variety of statistical physics models beyond matrix models as well.
Dan Dai, Shuai-Xia Xu, Lun Zhang
openaire +3 more sources
The Malgrange Form and Fredholm Determinants [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 We consider the factorization problem of matrix symbols relative to a closed contour, i.e., a Riemann-Hilbert problem, where the symbol depends analytically on parameters. We show how to define a function $τ$ which is locally analytic on the space of deformations and that is expressed as a Fredholm determinant of an operator of "integrable" type in the
openaire +5 more sources
Fredholm Determinants and the Statistics of Charge Transport [PDF]
Communications in Mathematical Physics, 2008 ISSN:0010 ...
Avron, J. E. +3 more
openaire +5 more sources
SciPost Physics, 2020 We investigate the momentum distribution function of a single distinguishable impurity particle which formed a polaron state in a gas of either free fermions or Tonks-Girardeau bosons in one spatial dimension.
Oleksandr Gamayun, Oleg Lychkovskiy, Mikhail B. Zvonarev
doaj +1 more source
Journal of Function Spaces, 2023 The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the ...
Jian Rong Loh +2 more
doaj +1 more source
A Fredholm determinant formula for Toeplitz determinants [PDF]
Integral Equations and Operator Theory, 2000 We prove a formula expressing a general n by n Toeplitz determinant as a Fredholm determinant of an operator 1-K acting on l_2({n,n+1,...}), where the kernel K admits an integral representation in terms of the symbol of the original Toeplitz matrix.
Borodin, Alexei, Okounkov, Andrei
openaire +2 more sources
Non-perturbative approaches to the quantum Seiberg-Witten curve
Journal of High Energy Physics, 2020 We study various non-perturbative approaches to the quantization of the Seiberg-Witten curve of N $$ \mathcal{N} $$ = 2, SU(2) super Yang-Mills theory, which is closely related to the modified Mathieu operator.
Alba Grassi, Jie Gu, Marcos Mariño
doaj +1 more source
Semiclassical approach to form factors in the sinh-Gordon model
Journal of High Energy Physics, 2023 Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter b ~ ħ 1/2 in the background of a radial classical solution, which describes a heavy exponential operator placed at the origin.
Michael Lashkevich +2 more
doaj +1 more source