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The Yang-Mills theory is part of the Standard Model of particle physics. The lack of the mathematical understanding of the theory stands out in theoretical physics. In order to address this problem we observe that a recently proposed…

High Energy Physics - Lattice · Physics 2020-09-15 Artan Boriçi

The massive screened expansion for pure SU(3) Yang-Mills theory is extended to finite temperature in the Landau gauge. All thermal integrals are evaluated analytically up to an external one-dimensional integration, yielding explicit…

High Energy Physics - Theory · Physics 2021-04-21 Fabio Siringo , Giorgio Comitini

We use a loop truncated Jevicki-Sakita effective collective field Hamiltonian to obtain, over a very large range of values of 't Hooft's coupling, and directly in the large N limit, the large N (planar) ground state energy, the planar…

High Energy Physics - Theory · Physics 2025-03-10 João P. Rodrigues

We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent the physical states satisfying the Gauss law constraints. We focus on $\mathrm{SU}(2)$ Yang-Mills theory in $(2+1)$…

High Energy Physics - Lattice · Physics 2023-09-20 Tomoya Hayata , Yoshimasa Hidaka

We make use of the global symmetries of the Yang-Mills theory on the lattice to design a new computational strategy for extracting glueball masses and matrix elements which achieves an exponential reduction of the statistical error with…

High Energy Physics - Lattice · Physics 2015-05-20 Michele Della Morte , Leonardo Giusti

We study aspects of confinement in two deformed versions of the AdS/CFT correspondence - the GPPZ dual of N=1* Yang Mills, and the Yang Mills* N=0 dual. Both geometries describe discrete glueball spectra which we calculate numerically. The…

High Energy Physics - Theory · Physics 2009-11-10 Riccardo Apreda , David E. Crooks , Nick Evans , Michela Petrini

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

Based on a generalized Yang-Mills framework, gravitational and strong interactions can be unified in analogy with the unification in the electroweak theory. By gauging $T(4) \times [SU(3)]_{color} $ in flat space-time, we have a unified…

High Energy Physics - Theory · Physics 2015-05-30 Jong-Ping Hsu

We refine an earlier introduced 5-dimensional gravity solution capable of holographically capturing several qualitative aspects of (lattice) QCD in a strong magnetic background such as the anisotropic behaviour of the string tension,…

High Energy Physics - Theory · Physics 2021-05-05 Hardik Bohra , David Dudal , Ali Hajilou , Subhash Mahapatra

We present the latest results from our ongoing lattice field theory investigations of maximally supersymmetric Yang--Mills theory in three space-time dimensions, focusing on its non-perturbative phase diagram. Exploiting a lattice…

High Energy Physics - Lattice · Physics 2025-10-22 David Schaich , Angel Sherletov

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy,…

High Energy Physics - Theory · Physics 2015-07-06 Arnab Kundu

In this investigation an holographic description of the deconfined phase transition of scalar and tensor glueballs is presented within the so called hard-wall model. The spectra of these bound states of gluons have been calculated from the…

High Energy Physics - Phenomenology · Physics 2022-03-02 Matteo Rinaldi , Vicente Vento

Massive Yang-Mills theory is known to be renormalizable in 1+1 dimensions. The gluon mass is introduced by coupling the gauge field to an SU(N) principal chiral nonlinear sigma model. The proof of renormalizability relies on the asymptotic…

High Energy Physics - Lattice · Physics 2014-10-22 Axel Cortés Cubero

In terms of a simple holographic model, we study the absorption cross section and the shear viscosity of a pure Yang-Mills field at low temperature where the system is in the confinement phase. Then we expect that the glueball states are…

High Energy Physics - Theory · Physics 2008-11-26 Iver Brevik , Kazuo Ghoroku

We discuss homogeneous and isotropic cosmological models driven by SU(2) gauge fields in the framework of Einstein gravity. There exists a Yang-Mills field configuration, parametrized by a single scalar function, which consists of parallel…

High Energy Physics - Theory · Physics 2015-06-03 D. V. Gal'tsov , E. A. Davydov

The boundstate problem in 2+1-dimensional large-N Yang-Mills theory is accurately solved using the light-front Hamiltonian of transverse lattice gauge theory. We conduct a thorough investigation of the space of couplings on coarse lattices,…

High Energy Physics - Lattice · Physics 2009-10-31 S. Dalley , B. van de Sande

We compute the Euclidean correlators of the stress tensor in pure $SU(3)$ Yang-Mills theory at finite temperature at zero and finite spatial momenta with lattice simulations. We perform continuum extrapolations using $N_\tau=10,12,16,20$…

In order to clarify the mechanism of quark confinement in the Yang-Mills theory with mass gap, we propose to investigate the massive Yang-Mills model, namely, Yang-Mills theory with ``a gauge-invariant gluon mass term'', which is to be…

High Energy Physics - Lattice · Physics 2019-12-04 Akihiro Shibata , Kei-Ichi Kondo , Ryutaro Matsudo , Shogo Nishino

We formulate and solve a Euclidean Bethe-Salpeter equation for the lightest scalar glueball (0++) in pure Yang-Mills theory, using the refined Gribov-Zwanziger gluon tree-level propagator as an infrared-complete input. In a minimal ladder…

High Energy Physics - Phenomenology · Physics 2026-01-28 Rodrigo Carmo Terin

In light of BICEP2, we reexamine single field inflationary models in which the inflaton is a composite state stemming from various four-dimensional strongly coupled theories. We study in the Einstein frame a set of cosmological parameters,…

General Relativity and Quantum Cosmology · Physics 2014-07-15 Phongpichit Channuie