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A qualitative study of the lightest glueball states in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge is presented. The analysis is done by generalizing to the maximal Abelian gauge the so-called replica model,…

High Energy Physics - Theory · Physics 2013-05-30 M. A. L. Capri , A. J. Gomez , M. S. Guimaraes , V. E. R. Lemes , S. P. Sorella , D. G. Tedesco

The dynamics of the glueballs is important in the context of the experimental search as well as for understanding the non-Abelian gauge theory. The glueballs of the dark $SU(N_c)$ Yang-Mills theory are also good candidates of dark matter.…

High Energy Physics - Lattice · Physics 2022-06-28 Nodoka Yamanaka , Atsushi Nakamura , Masayuki Wakayama

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the…

High Energy Physics - Theory · Physics 2007-05-23 K. -I. Kondo

We consider a variational approach to the finite temperature Yang-Mills theory in the Coulomb gauge. The partition function is computed in the ensemble of glueballs and quasi-gluons which emerge as eigenstates of the Coulomb gauge…

High Energy Physics - Theory · Physics 2013-05-30 Tochtli Yepez Martinez , Adam P. Szczepaniak , Hugo Reinhardt

By relating the functional averages of a generic scalar operator in simulations with Open (O) and Periodic (P) boundary conditions (BCs) respectively for $SU(3)$ lattice gauge theory, we show that the scalar glueball mass and the glueball…

High Energy Physics - Lattice · Physics 2016-03-23 Abhishek Chowdhury , A. Harindranath , Jyotirmoy Maiti

Recent numerical calculations of the glueball spectrum in QCD, in SU($N$) Yang-Mills theory in the large-$N$ limit and in candidate theories of strongly interacting dynamics beyond the standard model (in which the lowest-lying scalar plays…

High Energy Physics - Lattice · Physics 2014-01-08 Biagio Lucini

We analytically compute the spectrum of the spin zero glueballs in the planar limit of pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by our computation of a new non-trivial form of the ground state…

High Energy Physics - Theory · Physics 2008-11-26 Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

We calculate the mass of the lowest lying spin two glueball in N=1 super Yang-Mills from the dual Klebanov-Strassler background. We show that the Regge trajectory obtained is linear; the 0++, 1-- and 2++ states lie on a line of slope 0.23…

High Energy Physics - Theory · Physics 2008-11-26 Xavier Amador , Elena Caceres

The mass of the glueballs is calculated in the B.S. equation framework. Under instantaneous approximation, the wave function of B.S. equations are obtained. The kernel is chosen as the sum of an one-gluon exchange potential, a contact…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Y. Cui , J. M. Wu , H. Y. Jin

We propose an approach which enables one to obtain simultaneously the glueball mass and the gluon mass in the gauge-invariant way to shed new light on the mass gap problem in Yang-Mills theory. First, we point out that the Faddeev…

High Energy Physics - Theory · Physics 2009-11-11 Kei-Ichi Kondo , Akihito Ono , Akihiro Shibata , Toru Shinohara , Takeharu Murakami

We present the current results of our simulations of N=1 supersymmetric Yang-Mills theory on a lattice. The masses of the gluino-glue particle, the a-eta-prime, the a-f0 meson, and the scalar glueball are obtained at finer lattice spacing…

High Energy Physics - Lattice · Physics 2013-11-12 Georg Bergner , Istvan Montvay , Gernot Münster , Umut D. Özugurel , Dirk Sandbrink

We calculate the scattering cross section between two $0^{++}$ glueballs in $SU(2)$ Yang-Mills theory on lattice at $\beta = 2.1, 2.2, 2.3, 2.4$, and 2.5 using the indirect (HAL QCD) method. We employ the cluster-decomposition error…

High Energy Physics - Lattice · Physics 2020-09-23 Nodoka Yamanaka , Hideaki Iida , Atsushi Nakamura , Masayuki Wakayama

We study dynamical mass generation in pure Yang-Mills theory and report on a recently developed ansatz that exactly solves the tower of Dyson-Schwinger equations in Landau gauge at low Euclidean momentum, featuring enhanced gluon-gluon…

In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached. This…

High Energy Physics - Lattice · Physics 2022-07-11 Claudio Bonanno , Massimo D'Elia , Biagio Lucini , Davide Vadacchino

Glueballs have a natural interpretation as closed strings in Yang-Mills theory. Their stability requires that the string carries a nontrivial twist, or then it is knotted. Since a twist can be either left-handed or right-handed, this…

High Energy Physics - Theory · Physics 2017-08-23 Antti J. Niemi

The correlator of the square of the Yang-Mills field-strength tensor corresponds to a scalar glueball, i.e., to a bound-state formed by gluonic ingredients only. It has quantum numbers 0++ and its mass, as predicted by different theoretical…

High Energy Physics - Phenomenology · Physics 2013-01-17 Andreas Windisch , Markus Q. Huber , Reinhard Alkofer

Recent lattice results strongly support the Axionic String Ansatz (ASA) for quantum numbers of glueballs in 3D Yang-Mills theory. The ASA treats glueballs as closed bosonic strings. The corresponding worldsheet theory is a deformation of…

High Energy Physics - Theory · Physics 2023-04-13 Sergei Dubovsky , Guzmán Hernández-Chifflet , Shahrzad Zare

Using the ``glueball dominance'' picture of the mixing between q\bar{q} mesons of different hidden flavors, we establish new glueball-meson mass relations which serve as a basis for glueball spectral systematics. For the tensor glueball…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. M. Brisudova , L. Burakovsky , T. Goldman

We suggest a framework based on the rainbow approximation to the Dyson-Schwinger and Bethe-Salpeter equations with effective parameters adjusted to lattice QCD data to calculate the masses of the ground and excited states of pseudo-scalar…

High Energy Physics - Phenomenology · Physics 2020-08-26 L. P. Kaptari , B. Kämpfer

We calculate for the first time the scattering cross section between lightest glueballs in $SU(2)$ pure Yang-Mills theory, which are good candidates of dark matter. In the first step, we evaluate the interglueball potential on lattice using…

High Energy Physics - Phenomenology · Physics 2021-01-12 Nodoka Yamanaka , Hideaki Iida , Atsushi Nakamura , Masayuki Wakayama