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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

We solve the local Gauss law in lattice QCD in the presence of matter charges. This corresponds to constructing singlet states using Schwinger Bosons and Fermions of SU(3) group at each vertex of the lattice. We also calculate the action of…

High Energy Physics - Lattice · Physics 2019-06-11 Sreeraj T P , Ramesh Anishetty

QCD theory predicts the existence of glueballs, but so far all experimental endeavors have failed to identify any such states. To remedy this discrepancy between QCD, which has proven to be a successful theory for strong interactions, and…

High Energy Physics - Phenomenology · Physics 2020-12-08 Xing-Dao Guo , Hong-Wei Ke , Ming-Gang Zhao , Liang Tang , Xue-Qian Li

We take a new look at plaquette-plaquette correlators in 4d compact U(1) lattice gauge theory which are separated in time, both in the confined and the deconfined phases. From the behaviour of these correlators we extract glueball masses in…

High Energy Physics - Lattice · Physics 2015-06-25 Pushan Majumdar , Yoshiaki Koma , Miho Koma

We present a high-precision lattice calculation of the equation of state in the confining phase of SU(2) Yang-Mills theory. We show that the results are described very well by a gas of massive, non-interacting glueballs, provided one…

High Energy Physics - Lattice · Physics 2017-10-31 Michele Caselle , Alessandro Nada , Marco Panero

A rigorous three-dimensional relativistic equation satisfied by two-gluon bound states is derived from the QCD with massive gluons. With the gluon fields and the quark fields being expanded in terms of the gluon multipole fields and the…

High Energy Physics - Phenomenology · Physics 2009-10-02 Jun-Chen Su , Jian-Xing Chen

The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a $T$-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body…

High Energy Physics - Phenomenology · Physics 2013-04-10 G. Lacroix , C. Semay , D. Cabrera , F. Buisseret

We study various representations of the infrared effective theory of SU(2) gluodynamics starting from the monopole action derived recently. We determine the coupling constants in the abelian-Higgs model directly from lattice QCD and…

High Energy Physics - Lattice · Physics 2010-11-19 S. Kato , M. N. Chernodub , S. Kitahara , N. Nakamura , M. I. Polikarpov , Tsuneo Suzuki

We compute from lattice QCD in the valence (quenched) approximation the partial decay widths of the lightest scalar glueball to pairs of pseudoscalar quark-antiquark states. These predictions and values obtained earlier for the scalar…

High Energy Physics - Lattice · Physics 2008-11-26 J. Sexton , A. Vaccarino , D. Weingarten

For SU(2) gauge theory on the three-sphere we study the dynamics of the low-energy modes. By explicitely integrating out the high-energy modes, the one-loop correction to the hamiltonian for this problem is obtained. After imposing the…

High Energy Physics - Lattice · Physics 2009-10-28 Bas van den Heuvel

Determining the spectrum of hadronic excitations from Monte Carlo simulations requires the use of interpolating operators that couple to multi-particle states. Recent algorithmic advances have made the inclusion of multi-hadron operators in…

High Energy Physics - Lattice · Physics 2012-05-21 Justin Foley , John Bulava , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

The standard approach to compute the glueball spectrum on the lattice relies on the evaluation of effective masses from two-point correlation functions of operators with the quantum numbers of the desired state. In this work, we propose an…

High Energy Physics - Lattice · Physics 2023-11-28 Marco Panero , Antonio Smecca , Nazario Tantalo , Davide Vadacchino

Results of lattice analysis indicate that the static potential in SU(3) gauge theory is proportional to eigenvalue of quadratic Casimir operator for the corresponding representation with a good accuracy. We discuss the mechanism of possible…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Shevchenko

We present first results on masses of the scalar and tensor glueballs as well as of the torelon from simulations of QCD with two light flavours of Wilson fermions. The gauge configurations of extent 16^3*32 at beta = 5.6 and kappa = 0.156,…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , U. Glassner , S. Gusken , H. Hoeber , Th. Lippert , G. Ritzenhofer , K. Schilling , G. Siegert , A. Spitz , SESAM collaboration

The quantum constraint equations for a relativistic three-dimensional harmonic oscillator are shown to find concise expression in terms of Lorentz covariant ladder operators. These ladder operators consist of two conjugate 4-vectors that…

Quantum Physics · Physics 2009-05-13 Robert J. Ducharme

We calculate the masses of the low-lying states with quantum numbers $J^{PC}=0^{++},1^{--}$ in the Higgs and confinement regions of the three-dimensional SU(2) Higgs model, which plays an important r\^ole in the description of the…

High Energy Physics - Lattice · Physics 2009-10-28 O. Philipsen , M. Teper , H. Wittig

For lattice operators that are relevant to the calculation of moments of nucleon structure functions we investigate the transformation properties under the hypercubic group. We give explicit bases of irreducible subspaces for tensors of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

Recent findings on the spectrum of heavy-quark mesons from computer simulations of quarks and gluons in lattice QCD are summarized, with particular attention to quark-antiquark states bound by an excited gluon field. The validity of a…

Nuclear Theory · Physics 2009-11-10 K. Jimmy Juge , Julius Kuti , Colin Morningstar

We define pure gauge $QCD$ on an infinite strip of width $L$. Techniques similar to those used in finite $TQCD$ allow us to relate $3D$-observables to pure $QCD_2$ behaviors. The non triviality of the $L \arrow 0$ limit is proven and the…

High Energy Physics - Theory · Physics 2009-10-28 A. Ferrando , A. Jaramillo

Time correlation functions of a hybrid exotic meson operator, with JPC=1-+, generated in quenched lattice QCD are subjected to a (Bayesian) maximum entropy analysis. Five distinct spectral levels are uncovered. Their extrapolation into the…

High Energy Physics - Lattice · Physics 2014-11-17 M. S. Cook , H. R. Fiebig