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We present a quantum theory for the dynamic structure factors in non-equilibrium, correlated, two-component systems such as plasmas or warm dense matter. Using this general framework, we derive expressions for effective local field…

等离子体物理 · 物理学 2018-01-31 J. Vorberger , D. A. Chapman

We use the exact scattering description of the scaling Ashkin-Teller model in two dimensions to compute the two-particle form factors of the relevant operators. These provide an approximation for the correlation functions whose accuracy is…

高能物理 - 理论 · 物理学 2009-10-31 G. Delfino

We consider the two-dimensional $\mathfrak{sl}_n$ quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry ($W_n$ algebra), a central charge $c \leq n-1$ and a continuous…

数学物理 · 物理学 2019-02-20 Thomas Dupic , Benoît Estienne , Yacine Ikhlef

Using U_q(a_n^(1))- and U_q(a_2n^(2))-invariant R-matrices we construct exact S-matrices in two-dimensional space-time. These are conjectured to describe the scattering of solitons in affine Toda field theories. In order to find the…

高能物理 - 理论 · 物理学 2009-10-30 G. M. Gandenberger

Methods are described for the nonperturbative calculation of wave functions and scattering amplitudes in light-cone quantization. Form factors are computed from the boost-invariant wave functions, which appear as coefficients in a…

高能物理 - 唯象学 · 物理学 2009-10-31 J. R. Hiller

We conjecture an exact S-matrix for the scattering of solitons in $d_{n+1}^{(2)}$ affine Toda field theory in terms of the R-matrix of the quantum group $U_q(c_n^{(1)})$. From this we construct the scattering amplitudes for all scalar bound…

高能物理 - 理论 · 物理学 2009-10-28 G. M. Gandenberger , N. J. MacKay

We derive exact, factorized, purely elastic scattering matrices for affine Toda theories based on the nonsimply-laced Lie algebras and superalgebras.

高能物理 - 理论 · 物理学 2009-10-22 G. W. Delius , M. T. Grisaru , D. Zanon

In this paper, we present a method to compute the minimal form factors (MFFs) of diagonal integrable field theories perturbed by generalized $T\bar{T}$ perturbations. Building on existing results by the same authors, these MFFs are…

高能物理 - 理论 · 物理学 2025-11-18 Fabio Sailis , Olalla A. Castro-Alvaredo , Stefano Negro

The paper \cite{BM} proposed a construction of a twisted representation of the lattice vertex algebra corresponding to the Milnor lattice of a simple singularity. The main difficulty in extending the above construction to an arbitrary…

代数几何 · 数学 2015-02-27 Todor Milanov

We study the sigma model with $SU(N)\times SU(N)$ symmetry in 1+1 dimensions. The two- and four-particle form factors of the Noether current operators are found, by combining the integrable-bootstrap method with the large-$N$ expansion.

高能物理 - 理论 · 物理学 2013-05-30 Axel Cortés Cubero

Factorization of scattering is the hallmark of integrable 1+1 dimensional quantum field theories. For factorization of scattering to be possible the set of masses and momenta must be conserved in any two-to-two scattering process. We use…

高能物理 - 理论 · 物理学 2017-11-29 Linus Wulff

A derivation of the cyclic form factor equation from quantum field theoretical principles is given; form factors being the matrix elements of a field operator between scattering states. The scattering states are constructed from Haag-Ruelle…

高能物理 - 理论 · 物理学 2009-10-30 M. R. Niedermaier

The subject of this thesis is the rigorous construction of QFT models with nontrivial interaction. Two different approaches in the framework of AQFT are discussed. On the one hand, an inverse scattering problem is considered. A given…

数学物理 · 物理学 2015-03-04 Sabina Alazzawi

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

高能物理 - 理论 · 物理学 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

Scattering methods are widely used in many research areas to analyze and resolve material structures. Given the importance, a large number of full textbooks are devoted to this topic. However, technical details in experiments and…

软凝聚态物质 · 物理学 2021-04-02 Dingning Li , Kai Zhang

We study the shape parameters of the $D\pi$ scalar and vector form factors using as input dispersion relations and unitarity for the moments of suitable heavy-light correlators evaluated with Operator Product Expansions, including…

高能物理 - 唯象学 · 物理学 2012-07-25 B. Ananthanarayan , I. Caprini , I. Sentitemsu Imsong

We apply a soft-wall AdS/QCD approach to the description of deuteron structure functions and tensor polarized properties. Present work is a completion of our previous study on electromagnetic form factors. By the appropriate choice of two…

高能物理 - 唯象学 · 物理学 2016-12-14 Thomas Gutsche , Valery E. Lyubovitskij , Ivan Schmidt

We study the reflection amplitudes of affine Toda field theories with boundary, following the ideas developed by Fring and Koberle and focusing our attention on the $E_{n}$ series elements, because of their interesting structure of higher…

高能物理 - 理论 · 物理学 2009-11-07 Valentina Riva

We continue our investigation of the Baxter-Bazhanov-Stroganov or \tau^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive for the first time the factorized formula for…

可精确求解与可积系统 · 物理学 2008-04-14 G. von Gehlen , N. Iorgov , S. Pakuliak , V. Shadura , Yu. Tykhyy

A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of…

高能物理 - 格点 · 物理学 2022-09-19 Jonathan Lozano , Ulf-G. Meißner , Fernando Romero-López , Akaki Rusetsky , Gerrit Schierholz