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Related papers: The Yang-Mills Spectrum from a 2-level Algorithm

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We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang-Mills theory using a parameter-free fully self-contained truncation of Dyson-Schwinger and Bethe-Salpeter equations. The only input, the scale, is fixed…

High Energy Physics - Phenomenology · Physics 2020-11-25 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

A strong coupling expansion of the SU(2) Yang-Mills quantum Hamiltonian is carried out in the form of an expansion in the number of spatial derivatives, using the symmetric gauge \epsilon_{ijk} A_{jk}=0. Introducing an infinite lattice with…

High Energy Physics - Theory · Physics 2010-03-02 Hans-Peter Pavel

Numerical simulations of supersymmetric theories on the lattice are intricate and challenging with respect to their theoretical foundations and algorithmic realisation. Nevertheless, the simulations of a four-dimensional supersymmetric…

High Energy Physics - Lattice · Physics 2013-11-08 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet…

High Energy Physics - Theory · Physics 2013-05-29 Matthieu Tissier , Nicolas Wschebor

We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations. In contrast to small-volume lattice truncations of the Hilbert space, we employ toroidal dimensional reduction to the ``femtouniverse"…

High Energy Physics - Lattice · Physics 2022-11-22 Nouman Butt , Patrick Draper , Jiayu Shen

The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at…

High Energy Physics - Lattice · Physics 2011-06-16 Biagio Lucini , Antonio Rago , Enrico Rinaldi

We present results from lattice simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions. The lattice formulation we use was developed in \cite{2dpaper} and retains both gauge invariance and an exact (twisted) supersymmetry for…

High Energy Physics - Lattice · Physics 2009-11-11 Simon Catterall

Supersymmetric gauge theories are an important building block for extensions of the standard model. As a first step towards Super-QCD we investigate the pure gauge sector with gluons and gluinos on the lattice, in particular the low energy…

High Energy Physics - Lattice · Physics 2018-04-18 Marc Steinhauser , André Sternbeck , Björn Wellegehausen , Andreas Wipf

The estimation of the K\"all\'en-Lehmann spectral density from gauge invariant lattice QCD two point correlation functions is proposed, and explored via an inversion strategy based on Tikhonov regularisation. We test the method on a mesonic…

High Energy Physics - Lattice · Physics 2025-10-16 David Dudal , Orlando Oliveira , Martin Roelfs

Monte Carlo results for the low-lying glueball spectrum using an improved, anisotropic action are presented. Ten simulations at lattice spacings ranging from 0.2 to 0.4 fm and two different anisotropies have been performed in order…

High Energy Physics - Lattice · Physics 2011-05-05 Colin Morningstar , Mike Peardon

The glueball spectrum within the Hamiltonian formulation of lattice gauge theory (without fermions) is calculated for the gauge group SU(2) and for two spatial dimensions. The Hilbert space of gauge-invariant functions of the gauge field is…

High Energy Physics - Lattice · Physics 2009-11-07 A. Wichmann , D. Schuette , B. C. Metsch , V. Wethkamp

A modified Transformer model is introduced for estimating the mass of pseudoscalar glueball in lattice QCD. The model takes as input a sequence of floating-point numbers with lengths ranging from 30 to 35 and produces a two-dimensional…

High Energy Physics - Lattice · Physics 2024-08-27 Lin Gao

We present an error reduction method for obtaining glueball correlators from monte carlo simulations of SU(3) lattice gauge theory. We explore the scalar and tensor channels at three different lattice spacings. Using this method we can…

High Energy Physics - Lattice · Physics 2015-06-19 Pushan Majumdar , Nilmani Mathur , Sourav Mondal

We report on the results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos. In the gauge sector the tree-level…

High Energy Physics - Lattice · Physics 2011-02-09 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

In this paper we study the viability of persuing analytic variational techniques for the calculation of glueball masses in 3+1 dimensional Hamiltonian lattice gauge theory (LGT) in the pure gauge sector. We discuss the major problems…

High Energy Physics - Lattice · Physics 2007-05-23 Jesse Carlsson , Bruce H. J. McKellar

We report on a numerical investigation of the SU(2) gauge theory with gluinos. The low-lying spectrum in bosonic and fermionic channels is determined. Improvements of the multi-bosonic algorithm are discussed.

High Energy Physics - Lattice · Physics 2016-09-01 G. Koutsoumbas , I. Montvay , A. Pap , K. Spanderen , D. Talkenberger , J. Westphalen

We present numerical results for pure SU(2) Yang-Mills theory in four space-time dimensions using a novel algorithm based on dually transformed variables. The simulation makes use of a recently derived O(j^4) algorithm for the dual vertex…

High Energy Physics - Lattice · Physics 2009-10-13 J. Wade Cherrington

We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. Our action includes a kinetic term, the one-loop perturbative potential for the Wilson line, a non-perturbative "fuzzy-bag" contribution and spatial…

High Energy Physics - Lattice · Physics 2009-05-26 Dominik Smith

We provide numerical results for the running coupling in $SU(3)$ Yang-Mills theory as determined from an analysis of lattice two and three-point gluon correlation functions. The coupling is evaluated directly, from first principles, by…

High Energy Physics - Lattice · Physics 2007-05-23 D. S. Henty , C. Parrinello

Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the $SU(2)$…

High Energy Physics - Lattice · Physics 2011-03-31 Jens Langelage , Stefano Lottini , Owe Philipsen