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We construct new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These spinning sum rules encode information about the spin of UV states: the sign of the IR Wilson coefficients carries a…

High Energy Physics - Phenomenology · Physics 2022-09-08 Grant N. Remmen , Nicholas L. Rodd

We perform a stability analysis of a recently proposed sum rule for pion Compton scattering at fixed angle and moderate Mandelstam invariants. The sum rule is found to be sensitive to the parameter $\lambda^2$, the contour radius of a…

High Energy Physics - Phenomenology · Physics 2009-10-22 Claudio Coriano' , Hsiang-nan Li

The dynamical spin susceptibility is studied in the magnetically-disordered phase of heavy-Fermion systems near the antiferromagnetic quantum phase transition. In the framework of the $S=1/2$ Kondo lattice model, we introduce a perturbative…

Strongly Correlated Electrons · Physics 2009-10-31 C. Pepin , M. Lavagna

Based on density functional calculations, we present a detailed theoretical study of the electronic structure and the magnetic properties of the quasi-one dimensional chain cuprate Li_2ZrCuO_4 (Li_2CuZrO_4). For the relevant ratio of the…

Strongly Correlated Electrons · Physics 2015-05-14 M. Schmitt , J. Malek , S. -L. Drechsler , H. Rosner

We combine Bethe Ansatz and field theory methods to study the longitudinal dynamical structure factor S^{zz}(q,omega) for the anisotropic spin-1/2 chain in the gapless regime. Using bosonization, we derive a low energy effective model,…

Strongly Correlated Electrons · Physics 2009-11-13 R. G. Pereira , J. Sirker , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

We study a two-parameter family of quantum spin systems on the complete graph, which is the most general model invariant under the complex orthogonal group. In spin $S=\frac{1}{2}$ it is equivalent to the XXZ model, and in spin $S=1$ to the…

Mathematical Physics · Physics 2022-03-03 Kieran Ryan

We consider the spin-1/2 isotropic $XY$ chain in an external magnetic field directed along $z$ axis with periodically varying $g$-factors. To reveal the effects of regularly alternating $g$-factors, we calculate various static and dynamic…

Strongly Correlated Electrons · Physics 2020-11-05 Taras Krokhmalskii , Taras Verkholyak , Ostap Baran , Vadim Ohanyan , Oleg Derzhko

The Gerasimov-Drell-Hearn sum rule and related dispersive integrals connect real and virtual Compton scattering to inclusive photo- and electroproduction. Being based on universal principles as causality, unitarity, and gauge invariance,…

Nuclear Theory · Physics 2009-12-17 D. Drechsel

We present the results of band structure calculations for ACr2X4 (A=Zn, Cd, Hg and X=O, S, Se) spinels. Effective exchange coupling constants between Cr spins are determined by fitting the energy of spin spirals to a classical Heisenberg…

Other Condensed Matter · Physics 2009-11-13 A. N. Yaresko

The excitation spectra of the T=0 dynamic structure factors for the spin, dimer, and trimer fluctuation operators as well as for the newly defined center fluctuation operator in the one-dimensional S=1 Heisenberg model wi th isotropic…

Condensed Matter · Physics 2007-05-23 K-H Muetter , A Schmitt , M Karbach , Y. Yu , G Mueller

The phenomenological sum-rule-based approach is used to discuss the quark composition dependence of some static and quasi-static electroweak characteristics of nucleons.The role of nonvalence degrees of freedom, the nucleon sea partons…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. B. Gerasimov

We begin with a review of the antiferromagnetic spin 1/2 Heisenberg chain. In particular, we show that the model has particle-like excitations with spin 1/2, and we compute the exact bulk S matrix. We then review our recent work which…

High Energy Physics - Theory · Physics 2016-09-06 Luca Mezincescu , Rafael I. Nepomechie

We report a neutron spin-echo study of the critical dynamics in the $S=5/2$ antiferromagnets MnF$_2$ and Rb$_2$MnF$_4$ with three-dimensional (3D) and two-dimensional (2D) spin systems, respectively, in zero external field. Both compounds…

Strongly Correlated Electrons · Physics 2016-08-24 K. F. Tseng , T. Keller , A. C. Walters , R. J. Birgeneau , B. Keimer

We look at the contribution of Quark-Mass-dependent twist-4 operators to the second moments of spin averaged structure functions and the Bjorken sum rule. Its contribution is non-negligible in the former case due to large Wilson…

High Energy Physics - Phenomenology · Physics 2009-10-22 Su Houng Lee

We compute the dynamic structure factor for the Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the $\epsilon$ expansion, at two loops in the high-temperature phase and at one loop in the…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , V. Martin-Mayor , A. Pelissetto , E. Vicari

The sum rules for the spin dependent structure function $g_1^{ab}$ in the null-plane formalism corresponding to the moment at $n=0$ has been transformed to the sum rule which relates the $g_1^{ab}$ with the cross section of the isovector…

High Energy Physics - Phenomenology · Physics 2008-11-26 Susumu Koretune

I discuss in this talk the physics of the $Q^2$ dependence of the $G_1(x,Q^2)$ structure function sum rule. For $Q^2>3$ GeV$^2$, the $Q^2$ variation is controlled by pure QCD radiative corrections. For $0.5<Q^2<3$ GeV$^2$, the twist-four…

High Energy Physics - Phenomenology · Physics 2016-09-01 Xiangdong Ji

Using finite temperature Lanczos technique on finite clusters we calculate dynamical spin structure factor of the quasi-two-dimensional dimer spin liquid SrCu2(BO3)2 as a function of wavevector and temperature. Unusual temperature…

Strongly Correlated Electrons · Physics 2007-05-23 S. El Shawish , J. Bonca , I. Sega

We demonstrate that the concept of quantum typicality allows for significant progress in the study of real-time spin dynamics and transport in quantum magnets. To this end, we present a numerical analysis of the spin-current autocorrelation…

Strongly Correlated Electrons · Physics 2014-03-31 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

The dynamic structure factor of semiflexible polymers in solution is derived from the wormlike chain model. Special attention is paid to the rigid constraint of an inextensible contour and to the hydrodynamic interactions. For the cases of…

Soft Condensed Matter · Physics 2009-10-28 Klaus Kroy , Erwin Frey
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