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相关论文: On convergence of form factor expansions in the in…

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For slowly varying fields the vacuum functional of a quantum field theory may be expanded in terms of local functionals. This expansion satisfies its own form of the Schr\"odinger equation from which the expansion coefficents can be found.…

高能物理 - 理论 · 物理学 2009-10-30 Paul Mansfield , Marcos Sampaio , Jiannis Pachos

The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In…

高能物理 - 理论 · 物理学 2009-10-31 Changrim Ahn , Rafael I. Nepomechie

We define an extended field theory in dimensions $1+1+1$, that takes the form of a `quasi 2-functor' with values in a strict 2-category $\widehat{\mathcal{H}am}$, defined as the `completion of a partial 2-category' $\mathcal{H}am$, notions…

辛几何 · 数学 2022-03-01 Guillem Cazassus

Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of 1+1 dimensional integrable field theories. As an example, the sine-Gordon model may…

高能物理 - 理论 · 物理学 2010-04-05 Olaf Lechtenfeld , Liuba Mazzanti , Silvia Penati , Alexander D. Popov , Laura Tamassia

Correlation functions of matrix-valued fields are not generally known for massive renormalized field theories. We find the large-N limit of form factors of the (1+1)-dimensional sigma model with SU(N) X SU(N) symmetry. These form factors…

高能物理 - 理论 · 物理学 2013-05-29 Peter Orland

We present a new application of affine Lie algebras to massive quantum field theory in 2 dimensions, by investigating the $q\to 1$ limit of the q-deformed affine $\hat{sl(2)}$ symmetry of the sine-Gordon theory, this limit occurring at the…

高能物理 - 理论 · 物理学 2016-09-06 Andre LeClair

Two-dimensional conformal field theories with just Virasoro symmetry are endowed with integrable structure. We review how to construct the integrable charges in a two-dimensional conformal field theory and how to relate them to the charges…

高能物理 - 理论 · 物理学 2020-05-05 Enrico M. Brehm , Diptarka Das

We review various aspects of (infinite) quantum group symmetries in 2D massive quantum field theories. We discuss how these symmetries can be used to exactly solve the integrable models. A possible way for generalizing to three dimensions…

高能物理 - 理论 · 物理学 2007-05-23 Denis Bernard

The purpose of the ``bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, this program is mainly illustrated in terms of the…

高能物理 - 理论 · 物理学 2009-11-10 H. Babujian , M. Karowski

Form factors of composite operators in the SL(2) sector of N=4 SYM theory are studied up to two loops via the on-shell unitarity method. The non-compactness of this subsector implies the novel feature and technical challenge of an unlimited…

高能物理 - 理论 · 物理学 2017-01-06 Florian Loebbert , Christoph Sieg , Matthias Wilhelm , Gang Yang

In this paper we compute the leading correction to the bipartite entanglement entropy at large sub-system size, in integrable quantum field theories with diagonal scattering matrices. We find a remarkably universal result, depending only on…

高能物理 - 理论 · 物理学 2011-01-27 J. L. Cardy , O. A. Castro-Alvaredo , B. Doyon

New integral representations for form factors in the two parametric SS model are proposed. Some form factors in the parafermionic sine-Gordon model and in an integrable perturbation of SU(2) coset conformal field theories are…

高能物理 - 理论 · 物理学 2007-05-23 Benedicte Ponsot

It is shown that the scaling operators in the conformal limit of a two-dimensional field theory have massive form factors which obey a simple factorisation property in rapidity space. This has been used to identify such operators within the…

高能物理 - 理论 · 物理学 2009-10-30 G. Delfino , P. Simonetti , J. L. Cardy

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

高能物理 - 理论 · 物理学 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

We obtain convergent inverse factorial expansions for the sum $S_n(a,b;c)$ of the first $n$ terms of the Gauss hypergeometric function of unit argument valid for $n\geq 1$. The form of these expansions depends on the location of the…

经典分析与常微分方程 · 数学 2014-09-02 R. B. Paris

We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and…

高能物理 - 理论 · 物理学 2009-10-30 V. Brazhnikov , S. Lukyanov

The structure of integrable field theories in the presence of jump defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the…

可精确求解与可积系统 · 物理学 2008-11-26 J. F. Gomes , L. H. Ymai , A. H. Zimerman

Quantum field theories provide fundamental models of complex interacting systems, from high-energy physics and cosmology to condensed matter. However, solving these models in non-perturbative and dynamical regimes is often extremely…

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…

数学物理 · 物理学 2019-07-15 K. K. Kozlowski

For $R>0$, we give a rigorous probabilistic construction on the cylinder $\mathbb{R} \times (\mathbb{R}/(2\pi R\mathbb{Z}))$ of the (massless) Sinh-Gordon model. In particular we define the $n$-point correlation functions of the model and…

概率论 · 数学 2026-03-12 Colin Guillarmou , Trishen S. Gunaratnam , Vincent Vargas