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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

The purpose of the "bootstrap program" is to construct integrable quantum field theories in 1+1 dimensions in terms of their Wightman functions explicitly. As an input the integrability and general assumptions of local quantum field…

高能物理 - 理论 · 物理学 2016-11-23 H. Babujian , M. Karowski

The integrable bootstrap program allows one to express the tempered distributions associated with the multipoint functions of the integrable 1+1 dimensional Sinh-Gordon quantum field theory by means of explicit series. The convergence of…

数学物理 · 物理学 2025-11-17 Karol K. Kozlowski , Alex Simon

The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation…

高能物理 - 理论 · 物理学 2007-05-23 Olalla A. Castro-Alvaredo

The form factor equations are solved for an SU(N) invariant S-matrix under the assumption that the anti-particle is identified with the bound state of N-1 particles. The solution is obtained explicitly in terms of the nested off-shell Bethe…

高能物理 - 理论 · 物理学 2008-11-26 Hratchia M. Babujian , Angela Foerster , Michael Karowski

1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought to explicit, closed and manageable expressions thanks to…

数学物理 · 物理学 2023-05-12 Karol K. Kozlowski

The soft bootstrap program aims to construct consistent effective field theories (EFT's) by recursively imposing the desired soft limit on tree-level scattering amplitudes through on-shell recursion relations. A prime example is the leading…

高能物理 - 理论 · 物理学 2021-01-28 Ian Low , Zhewei Yin

The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been extensively studied, especially in the…

高能物理 - 理论 · 物理学 2021-06-09 Olalla A. Castro-Alvaredo , David X. Horvath

The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N=1 supersymmetry is investigated. New solutions are found which have the same fusing data as bosonic theories related to the classical affine…

高能物理 - 理论 · 物理学 2009-10-30 Timothy J. Hollowood , Evangelos Mavrikis

A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive…

高能物理 - 理论 · 物理学 2009-11-07 H. Babujian , M. Karowski

We address the general question of how to reconstruct the field content of a quantum field theory from a given scattering theory in the context of the form factor program. For the $SU(3)_2$-homogeneous Sine-Gordon model we construct…

高能物理 - 理论 · 物理学 2009-10-31 O. A. Castro-Alvaredo , A. Fring

In recent years a considerable amount of attention has been devoted to the investigation of 2D quantum field theories perturbed by certain types of irrelevant operators. These are the composite field $\mathrm{T}\bar{\mathrm{T}}$ -…

高能物理 - 理论 · 物理学 2024-03-18 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

Quantum sinh-Gordon model in 1+1 dimensions is one of the simplest and best-studied massive integrable relativistic quantum field theories. We consider this theory on a multi-sheeted Riemann surfaces with a flat metric, which can be seen as…

高能物理 - 理论 · 物理学 2026-02-17 Michael Lashkevich , Amir Nesturov

We consider the construction of integrable quantum field theories in the operator-algebraic approach, which is based on quantum fields localized in infinitely extended wedge regions. This approach has been successful for the construction of…

数学物理 · 物理学 2019-12-25 Daniela Cadamuro

We continue the investigation of massive integrable models by means of the bootstrap fusion procedure, started in our previous work on O(3) nonlinear sigma model. Using the analogy with SU(2) Thirring model and the O(3) nonlinear sigma…

高能物理 - 理论 · 物理学 2009-10-30 Z. Horvath , G. Takacs

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

Symmetries play a central role in quantum many-body physics, yet uncovering them systematically remains challenging. We introduce a bootstrap framework designed to reconstruct the representation theory of hidden finite group symmetries of…

量子物理 · 物理学 2026-04-03 Chen Bai , Zihan Zhou , Bastien Lapierre , Shinsei Ryu

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

This work provides a closed, explicit and rigorous expression for the appropriately truncated $k$-point function of the integrable 1+1 dimensional Sinh-Gordon quantum field theory. The results are obtained within the bootstrap program…

数学物理 · 物理学 2025-02-07 Karol K. Kozlowski , Alex Simon

In these notes we review the S-matrix theory in (1+1)-dimensional integrable models, focusing mainly on the relativistic case. Once the main definitions and physical properties are introduced, we discuss the factorization of scattering…

高能物理 - 理论 · 物理学 2016-09-01 Diego Bombardelli
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