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In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson's and the recursive equations satisfied by matrix…

High Energy Physics - Theory · Physics 2007-05-23 G. Mussardo

An effective, low temperature, classical model for spin transport in the one-dimensional, gapped, quantum $O(3)$ non-linear $\sigma$-model is developed. Its correlators are obtained by a mapping to a model solved earlier by Jepsen. We…

Strongly Correlated Electrons · Physics 2009-10-28 Subir Sachdev , Kedar Damle

Field theory calculations predict multiplicative logarithmic corrections to correlation functions from marginally irrelevant operators. However, for the numerically most suitable model - the spin-1/2 chain - these corrections have been…

Condensed Matter · Physics 2009-10-28 Sebastian Eggert

Spin-dependent interaction in hadrons is considered in the approach of the QCD string. The string moment of inertia, which ensures the correct (inverse) Regge slope 2*pi*sigma, is found to suppress the spin-orbit interaction. For light…

High Energy Physics - Phenomenology · Physics 2009-02-01 A. M. Badalian , A. V. Nefediev , Yu. A. Simonov

When a magnon passes through two-dimensional magnetic textures, it will experience a fictitious magnetic field originating from the $3\times 3$ skew-symmetric gauge fields. To date, only one of the three independent components of the gauge…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Zhejunyu Jin , Xianglong Yao , Zhenyu Wang , H. Y. Yuan , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

In this work, the susceptibility of the square lattice Ising model is investigated using the recently obtained average magnetization interrelation, which is given by $\langle\sigma_{0, i}\rangle=…

Statistical Mechanics · Physics 2022-08-05 Tuncer Kaya

We compute correlation functions for one-dimensional electron systems which spin and charge degrees of freedom are coupled through spin-orbit coupling. Charge density waves, spin density waves, singlet- triplet- superconducting fluctuations…

Strongly Correlated Electrons · Physics 2016-08-16 Aníbal Iucci

Analytic expressions for the correlation length temperature dependences are given for antiferromagnetic spin-1/2 Heisenberg ladders using a finite-size non-linear sigma-model approach. These calculations rely on identifying three successive…

Strongly Correlated Electrons · Physics 2009-10-30 Olav F. Syljuasen , Sudip Chakravarty , Martin Greven

We investigate the properties of a four-dimensional conformal field theory possessing a fermionic higher-spin current $Q_{\alpha(2k) \dot{\alpha}}$. Using a computational approach, we examine the number of independent tensor structures…

High Energy Physics - Theory · Physics 2023-07-18 Evgeny I. Buchbinder , Benjamin J. Stone

In this work, the order parameter and the two-site correlation functions are expressed properly using the decimation transformation process in the presence of an external field so that their applications lead to some significant physical…

Statistical Mechanics · Physics 2020-05-05 Tuncer Kaya

We present a formalism based on colour symmetry to analyse the momentum-space spin textures of non-collinear antiferromagnets. We show that, out of the spin textures allowed by the magnetic point group, \textcolor{\altcolor} {one can…

Strongly Correlated Electrons · Physics 2025-06-23 Paolo G. Radaelli , Gautam Gurung

Dynamic spin correlation function of the $S=1/2$ antiferromagnetic spin chain with alternating nearest neighbor and competing next nearest neighbor interactions is studied using the numerical diagonalization method. We find characteristics…

Condensed Matter · Physics 2009-10-31 Shigeyoshi Mori , Isao Harada , Takashi Tonegawa

We perform a spectral decomposition of the dynamical correlation function of the spin $1/2$ XXZ model into an infinite sum of products of form factors. Beneath the four-particle threshold in momentum space the only non-zero contributions to…

High Energy Physics - Theory · Physics 2009-09-25 Robert A. Weston , A. H. Bougourzi

We evaluate the dynamic structure factor $S(q,\omega)$ of interacting one-dimensional spinless fermions with a nonlinear dispersion relation. The combined effect of the nonlinear dispersion and of the interactions leads to new universal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , M. Khodas , A. Kamenev , L. I. Glazman

Experiments and numerical data on the correlation length for large S disagree strongly with the theoretical prediction based on the effective field theory prescription of the magnon physics. The reason is that for large S, at any accessible…

Condensed Matter · Physics 2009-10-31 P. Hasenfratz

We study the contribution of the twist-3 fragmentation function to the single transverse-spin asymmetry in SIDIS within the framework of the collinear factorization. Using the Ward-Takahashi identity in QCD, we establish the collinear…

High Energy Physics - Phenomenology · Physics 2013-07-02 Koichi Kanazawa , Yuji Koike

We present a finite size spin wave calculation on the Heisenberg antiferromagnet on the triangular lattice focusing in particular on the low-energy part of the excitation spectrum. For s=1/2 the good agreement with the exact diagonalization…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper , Luca Capriotti , Sandro Sorella

Form Factor Perturbation Theory is applied to study the spectrum of the O(3) non--linear sigma model with the topological term in the vicinity of $\theta = \pi$. Its effective action near this value is given by the non--integrable double…

High Energy Physics - Theory · Physics 2009-11-10 D. Controzzi , G. Mussardo

We propose a new method for the computation of quantum three-point functions for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and…

High Energy Physics - Theory · Physics 2014-04-11 Yunfeng Jiang , Ivan Kostov , Florian Loebbert , Didina Serban

Coherent tripartite interactions among degrees of freedom of completely different nature are instrumental for quantum information and simulation technologies, but they are generally difficult to realize and remain largely unexplored. Here,…

Quantum Physics · Physics 2023-03-01 Xin-Lei Hei , Peng-Bo Li , Xue-Feng Pan , Franco Nori