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We present an algorithm to compute correlation functions for systems with the quantum numbers of many identical mesons from lattice quantum chromodynamics (QCD). The algorithm is numerically stable and allows for the computation of $n$-pion…

Frustrated arrays of interacting single-domain nanomagnets provide important model systems for statistical mechanics, because they map closely onto well-studied vertex models and are amenable to direct imaging and custom engineering.…

Statistical Mechanics · Physics 2015-05-19 Cristiano Nisoli , Jie Li , Xianglin Ke , D. Garand , Peter Schiffer , Vincent H. Crespi

We study the correlation functions between the dynamical variables and between their conjugate momenta at sites of a harmonic lattice in the $d$-dimensional Euclidean space. We show that at the thermodynamic limit, they can be expressed in…

High Energy Physics - Theory · Physics 2026-05-05 Masafumi Shimojo , Satoshi Ishihara , Hironobu Kataoka , Atsuko Matsukawa , Kazuo Koyama

We apply heavy-quark effective theory to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this approach, the inverse heavy-quark mass and the lattice spacing are treated as short distances, and their…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Shoji Hashimoto , Ken-Ichi Ishikawa , Andreas S. Kronfeld , Tetsuya Onogi , Norikazu Yamada

Large-Momentum Effective Theory (or LaMET) advocated by the present authors provides a direct approach to simulate parton physics in Eulidean lattice QCD theory. Recently, there has been much interest in this theory in the literature, with…

High Energy Physics - Phenomenology · Physics 2017-09-20 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

The Euclidean-time hadronic current correlation functions, $G_P(\tau, T)$ and $G_V(\tau, T)$, of pseudoscalar and vector currents have recently been calculated in lattice simulations of QCD and have been used to obtain the corresponding…

High Energy Physics - Phenomenology · Physics 2009-11-10 Bing He , Hu Li , C. M. Shakin , Qing Sun

Thermal energy agitates all matter and its competition with ordering tendencies is one of the most fundamental organizing principles in the physical world. Thus, it is natural to enquire if an effective temperature could result when…

Statistical Mechanics · Physics 2018-09-10 Ming Han , Jing Yan , Steve Granick , Erik Luijten

The current status of transport coefficients in relativistic field theories at high temperature is reviewed. I contrast weak coupling results obtained using kinetic theory/diagrammatic techniques with strong coupling results obtained using…

High Energy Physics - Lattice · Physics 2008-11-26 Gert Aarts

We use the recently proposed directed-path algorithm to study the chiral limit of strongly coupled lattice QCD with staggered quarks at finite temperatures. The new algorithm allows us to compute the chiral susceptibility and the pion decay…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Fu-Jiun Jiang

I extend to QCD an efficient method for lattice gauge theory with dynamical fermions. Once the eigenvalues of the Dirac operator and the density of states of pure gluonic configurations at a set of plaquette energies (proportional to the…

High Energy Physics - Lattice · Physics 2009-11-07 Xiang-Qian Luo

We show that a large class of Euclidean extended supersymmetric lattice gauge theories constructed in [hep-lat/0302017 - hep-lat/0503039] can be regarded as compact formulations by using the polar decomposition of the complex link fields.…

High Energy Physics - Lattice · Physics 2009-11-11 Mithat Unsal

The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 N. Traverso Ziani , F. Cavaliere , E. Mariani , M. Sassetti

In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature…

Statistical Mechanics · Physics 2015-06-23 T. S. Bortolin , A. Iucci

There has been a surge of experimental effort recently in cooling trapped fermionic atoms to quantum degeneracy. By varying an external magnetic field, interactions between atoms can be made arbitrarily strong. When the S wave scattering…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Wingate

For a class of tight-binding many-electron models on hyper-cubic lattices the equal-time correlation functions at non-zero temperature are proved to decay exponentially in the distance between the center of positions of the electrons and…

Mathematical Physics · Physics 2015-05-18 Yohei Kashima

Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures on an asymmetric lattice. For vanishing value of the spatial gauge coupling one obtains an effective two-dimensional spin…

High Energy Physics - Lattice · Physics 2011-02-14 Oleg Borisenko , Mario Gravina , Alessandro Papa

Following the proposal in [1], we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing…

In these lecture notes we will discuss recent progress in extracting spectral and transport properties from lattice QCD. We will focus on results of probes of the thermal QCD medium as well as transport coefficients which are important…

High Energy Physics - Lattice · Physics 2022-11-22 Olaf Kaczmarek , Hai-Tao Shu

We propose a method to help control cutoff effects in the short-distance contribution to integrated correlation functions, such as the hadronic vacuum polarization (HVP), using the corresponding screening correlators computed at finite…

High Energy Physics - Lattice · Physics 2021-11-16 Tim Harris , Marco Cè , Harvey B. Meyer , Arianna Toniato , Csaba Török