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Within the framework of three-channel Ross-Shaw effective range theory, we derive the constraints among different parameters of the theory in the case of a narrow resonance close to the threshold of the third channel, which is relevant for…

High Energy Physics - Lattice · Physics 2020-03-11 Chuan Liu , Liuming Liu , Ke-Long Zhang

We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links and faces of a four-dimensional lattice. In special limits…

High Energy Physics - Lattice · Physics 2021-09-29 Arkadiusz Bochniak , Leszek Hadasz , Piotr Korcyl , Błażej Ruba

The Polyakov loop potential serves to distinguish between the confined hadronic and the deconfined quark-gluon plasma phases of QCD. For Nf=2+1 quark flavors with physical masses we determine the Polyakov loop potential at finite…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian S. Fischer , Leonard Fister , Jan Luecker , Jan M. Pawlowski

Lattice QCD plays an essential role in testing and determining the parameters of the CKM theory of flavor mixing and CP violation. Very high precisions are required for lattice calculations analysing CKM data; I discuss the prospects for…

High Energy Physics - Phenomenology · Physics 2010-01-08 Paul B. Mackenzie

With combined hopping parameter and strong coupling expansions, we calculate a dimensionally reduced Polyakov-loop effective theory valid for heavy quarks at nonzero temperature and arbitrary chemical potential. We numerically compute the…

High Energy Physics - Lattice · Physics 2015-06-11 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

The extraction of the finite temperature heavy quark potential from lattice QCD relies on a spectral analysis of the real-time Wilson loop. Through its position and shape, the lowest lying spectral peak encodes the real and imaginary part…

High Energy Physics - Lattice · Physics 2013-10-02 Yannis Burnier , Alexander Rothkopf

The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

High Energy Physics - Lattice · Physics 2026-04-23 Shinji Ejiri , Masanari Koiida

We introduce manifestly crossing-symmetric expansions for arbitrary systems of 1D CFT correlators. These expansions are given in terms of certain Polyakov blocks which we define and show how to compute efficiently. Equality of OPE and…

High Energy Physics - Theory · Physics 2024-04-23 Kausik Ghosh , Apratim Kaviraj , Miguel F. Paulos

Lattice techniques are the most reliable ones to investigate the QCD phase diagram in the temperature-baryon density (chemical potential) plane. These techniques are, however, well-known to be saddled with a variety of problems at nonzero…

High Energy Physics - Lattice · Physics 2021-12-01 Rajiv V. Gavai

The potential due to a system of three static quark (3Q) is studied using SU(3) lattice QCD at finite temperature with Polyakov loops operators. We focused our analysis on the large distance properties of the 3Q potential and found a good…

High Energy Physics - Lattice · Physics 2017-06-06 Ahmed S. Bakry , Xurong Chen , Peng-Ming Zhang

This work presents an extension of the Construction $\pi_A$ lattices proposed in \cite{huang2017construction}, to Hurwitz quaternion integers. This construction is provided by using an isomorphism from a version of the Chinese remainder…

Information Theory · Computer Science 2025-05-23 Juliana G. F. Souza , Sueli I. R. Costa , Cong Ling

A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

In this paper we discuss combinatorial questions about lattice polytopes motivated by recent results on minimum distance estimation for toric codes. We also prove a new inductive bound for the minimum distance of generalized toric codes. As…

Information Theory · Computer Science 2015-06-26 Ivan Soprunov

We address several aspects of lattice QCD calculations of the hadronic vacuum polarization and the associated Adler function. We implement a representation derived previously which allows one to access these phenomenologically important…

High Energy Physics - Lattice · Physics 2013-09-11 Anthony Francis , Benjamin Jaeger , Harvey B. Meyer , Hartmut Wittig

We perform the first study for the static penta-quark (5Q) potential in lattice QCD with $\beta$=6.0 and $16^3 \times 32$ at the quenched level. Accurate results of the 5Q potential are extracted from the 5Q Wilson loop using the smearing…

High Energy Physics - Lattice · Physics 2017-08-23 Fumiko Okiharu , Hideo Suganuma , Toru T. Takahashi

We show that the Polyakov loop approaches its asymptotic value at high temperatures {\it from below} in any strongly-coupled gauge theory at large $N_c$ with a dual supergravity description. In these theories the Polyakov loop can be used…

High Energy Physics - Theory · Physics 2014-11-20 Jorge Noronha

We review some recent developments on non-relativistic effective field theories for heavy quark-antiquark systems and how they can bring a well founded connection between QCD and potential models.

High Energy Physics - Phenomenology · Physics 2009-10-31 Antonio Pineda

I review recent results on phase structure and equation of state of strong interaction matter from lattice QCD. Particular emphasis is given to the axes where direct simulations are possible and results are obtained with sufficient control…

High Energy Physics - Lattice · Physics 2025-12-12 Bastian B. Brandt

The perturbatively calculable short distance QCD potential is known to two loops including the effect of massive quarks. Recently, a simple approximate solution in momentum space was utilized to obtain the potential in coordinate space. The…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles

We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static…

High Energy Physics - Lattice · Physics 2009-04-14 M. Laine , O. Philipsen , M. Tassler
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