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We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

High Energy Physics - Theory · Physics 2008-02-03 Giovanni Modanese

We determine doubly heavy baryonic potentials as a function of the distance between the two static sources, coupled to a light relativistic quark, for different quantum numbers. We use the variational method to compute the ground state and…

High Energy Physics - Lattice · Physics 2010-11-05 Johannes Najjar , Gunnar Bali

An uncontroversial observation of adjoint string breaking is proposed, while measuring the static potential from Wilson loops only. The overlap of the Wilson loop with the broken-string state is small, but non-vanishing, so that the…

High Energy Physics - Lattice · Physics 2015-06-25 Slavo Kratochvila , Philippe de Forcrand

We report about an ongoing lattice field theory project concerned with the investigation of heavy hybrid mesons. In particular we discuss our computation of the structure of hybrid static potential flux tubes in SU(2) lattice Yang-Mills…

High Energy Physics - Lattice · Physics 2018-11-02 Lasse Mueller , Owe Philipsen , Christian Reisinger , Marc Wagner

The potential of a static quark-antiquark pair is studied in the range 0.05 fm $<$ r $<$ 0.8 fm, employing a sequence of lattices up to 64^4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The…

High Energy Physics - Lattice · Physics 2009-11-07 Silvia Necco

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

High Energy Physics - Theory · Physics 2009-10-28 Giovanni Modanese

We study the interactions of a static quark antiquark pair at non-zero temperature using realistic 2+1 flavor lattice QCD calculations. The study consists of two parts: the first investigates the properties of Wilson line correlators in…

A precise lattice determination of the equation of state in SU(3) Yang-Mills theory is carried out by means of a simulation algorithm, based on Jarzynski's theorem, that allows one to compute physical quantities in thermodynamic…

High Energy Physics - Lattice · Physics 2018-09-24 Michele Caselle , Alessandro Nada , Marco Panero

In the low temperature confining phase of QCD or QCD-like theories it is challenging to capture the temperature dependence of observables through AdS/CFT. Using the blackfold approach we compute the quark-antiquark linear static potential…

High Energy Physics - Theory · Physics 2015-06-23 Dimitrios Giataganas , Kevin Goldstein

We study the three-quark and multi-quark potentials in SU(3) lattice QCD. From the accurate calculation for more than 300 different patterns of 3Q systems, the static ground-state 3Q potential $V_{\rm 3Q}^{\rm g.s.}$ is found to be well…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Suganuma , Toru T. Takahashi , Fumiko Okiharu , Hiroko Ichie

We present here the results of our high accuracy simulations of $q\bar q$ potential in $d=4$ SU(3) Yang-Mills theory. We measure this quantity by measuring the {\it Polyakov Loop Correlators} using the {\it exponential variance reduction…

High Energy Physics - Lattice · Physics 2007-05-23 N. D. Hari Dass , Pushan Majumdar

A detailed study is made of four dimensional SU(2) gauge theory with static adjoint ``quarks'' in the context of string breaking. A tadpole-improved action is used to do simulations on lattices with coarse spatial spacings $a_s$, allowing…

High Energy Physics - Lattice · Physics 2009-10-31 Karn Kallio , Howard D. Trottier

We present results on the in-medium interactions of static quark anti-quark pairs using realistic 2+1 HISQ flavor lattice QCD. Focus is put on the extraction of spectral information from Wilson line correlators in Coulomb gauge using four…

We will calculate the diquark mass together with the quark-diquark potential. We apply an extended HAL QCD potential method to a baryonic system made up from a static quark and a diquark. Numerical calculations are performed by employing…

High Energy Physics - Lattice · Physics 2026-01-16 Kai-Wen Kelvin-Lee , Noriyoshi Ishii

The spatial distribution of the stress tensor around the quark--anti-quark ($Q\bar{Q}$) pair in SU(3) lattice gauge theory is studied. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable…

High Energy Physics - Lattice · Physics 2019-01-14 Ryosuke Yanagihara , Takumi Iritani , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

We analyze quantum Yang-Mills theory on $\mathbb{R}^2$ using a novel discretization method based on an algebraic analogue of stochastic calculus. Such an analogue involves working with "Gaussian" free fields whose covariance matrix is…

Mathematical Physics · Physics 2018-02-21 Timothy Nguyen

We investigate chemical-potential (\mu) dependence of static-quark free energies in both the real and imaginary \mu regions, performing lattice QCD simulations at imaginary \mu and extrapolating the results to the real \mu region with…

High Energy Physics - Lattice · Physics 2013-12-16 Junichi Takahashi , Keitaro Nagata , Takuya Saito , Atsushi Nakamura , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We perform a detailed study of the adjoint static potential in the pseudoparticle approach, which is a model for SU(2) Yang-Mills theory. We find agreement with the Casimir scaling hypothesis and there is clear evidence for string breaking.…

High Energy Physics - Phenomenology · Physics 2008-11-12 Christian Szasz , Marc Wagner

We present an approach to $U_\star(N)$ Yang-Mills theory in non-commutative space based upon a novel phase-space analysis of the dynamical fields with additional auxiliary variables that generate Lorentz structure and colour degrees of…

High Energy Physics - Theory · Physics 2019-05-01 Naser Ahmadiniaz , Olindo Corradini , James P. Edwards , Pablo Pisani

A powerful method for calculating the eigenvalues of a Hamiltonian operator consists of converting the energy eigenvalue equation into a matrix equation by means of an appropriate basis set of functions. The convergence of the method can be…

Quantum Physics · Physics 2007-05-23 Paolo Amore , Alfredo Aranda , Francisco Fernandez , Hugh Jones