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Related papers: The imaginary-$\theta$ dependence of the SU($N$) s…

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We study the $\theta$-dependence of the string tension and of the lightest glueball mass in four-dimensional $\mathrm{SU}(N)$ Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the $\mathcal{O}(\theta^2)$…

High Energy Physics - Lattice · Physics 2024-05-13 Claudio Bonanno , Claudio Bonati , Mario Papace , Davide Vadacchino

We study the theta dependence of the spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the topological term in the Lagrangian, for N>=3 and in the large-N limit. We compute the O(theta^2) terms of the…

High Energy Physics - Theory · Physics 2008-11-26 Luigi Del Debbio , Gian Mario Manca , Haralambos Panagopoulos , Apostolos Skouroupathis , Ettore Vicari

We study the theta dependence of the spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the topological term in the Lagrangian, for N>=3 and in the large-N limit. We compute the O(theta^2) terms of the…

High Energy Physics - Theory · Physics 2010-02-03 Luigi Del Debbio , Gian Mario Manca , Haralambos Panagopoulos , Apostolos Skouroupathis , Ettore Vicari

We study the scaling behavior of the 4D SU(3) lattice gauge theory in the presence of a theta term, by Monte Carlo simulations computing the topological properties at imaginary theta. The numerical results provide a good evidence of scaling…

High Energy Physics - Lattice · Physics 2015-05-30 Haralambos Panagopoulos , Ettore Vicari

We study the $\theta$ dependence of four-dimensional SU($N$) gauge theories, for $N\geq 3$ and in the large-N limit. We use numerical simulations of the Wilson lattice formulation of gauge theories to compute the first few terms of the…

High Energy Physics - Theory · Physics 2009-11-07 Luigi Del Debbio , Haralambos Panagopoulos , Ettore Vicari

We propose a subvolume method to study the $\theta$ dependence of the free energy density of the four-dimensional SU($N$) Yang-Mills theory on the lattice. As an attempt, the method is first applied to SU(2) Yang-Mills theory at…

High Energy Physics - Lattice · Physics 2021-10-07 Ryuichiro Kitano , Ryutaro Matsudo , Norikazu Yamada , Masahito Yamazaki

The pressure and the energy density of the $SU(3)$ gauge theory are calculated on lattices with temporal extent $N_\tau = 4$, 6 and 8 and spatial extent $N_\sigma =16$ and 32. The results are then extrapolated to the continuum limit. In the…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Luetgemeier , B. Petersson

We investigate the topological properties of the $SU(3)$ pure gauge theory by performing numerical simulations at imaginary values of the $\theta$ parameter. By monitoring the dependence of various cumulants of the topological charge…

High Energy Physics - Lattice · Physics 2016-01-28 Claudio Bonati , Massimo D'Elia , Aurora Scapellato

We discuss the extension of the field theoretical approach, already used in the lattice determination of the topological susceptibility, to the computation of further terms in the expansion of the ground state energy $F(\theta)$ around…

High Energy Physics - Lattice · Physics 2010-04-05 Massimo D'Elia

We determine the theta dependence of the deconfinement temperature of SU(3) pure gauge theory, finding that it decreases in presence of a topological theta term. We do that by performing lattice simulations at imaginary theta, then…

High Energy Physics - Lattice · Physics 2013-05-30 Massimo D'Elia , Francesco Negro

We study $\theta$ dependence of the vacuum energy for the 4d SU(2) pure Yang-Mills theory by lattice numerical simulations. The response of topological excitations to the smearing procedure is investigated in detail, in order to extract…

High Energy Physics - Lattice · Physics 2021-02-24 Ryuichiro Kitano , Norikazu Yamada , Masahito Yamazaki

In this paper we investigate, by means of numerical lattice simulations, the topological properties of the trace deformed $SU(3)$ Yang-Mills theory defined on $S_1\times\mathbb{R}^3$. More precisely, we evaluate the topological…

High Energy Physics - Lattice · Physics 2018-10-09 Claudio Bonati , Marco Cardinali , Massimo D'Elia

We calculate the string tension, K, and some of the lightest glueball masses, M, in 3+1 dimensional SU(N) lattice gauge theories for N=2,3,4,5 . From the continuum extrapolation of the lattice values, we find that the mass ratios,…

High Energy Physics - Lattice · Physics 2010-02-03 B. Lucini , M. Teper

We investigate the dependence of four-dimensional SU(N) gauge theories on the topological theta term at finite temperature and, in particular, across the deconfinement transition. For this purpose, we exploit the lattice formulation of the…

High Energy Physics - Lattice · Physics 2013-06-26 Claudio Bonati , Massimo D'Elia , Haralambos Panagopoulos , Ettore Vicari

We present results of a detailed investigation of the temperature dependence of the spatial string tension in SU(2) gauge theory. We show, for the first time, that the spatial string tension is scaling on the lattice and thus is…

High Energy Physics - Lattice · Physics 2009-07-09 G. S. Bali , J. Fingberg , U. M. Heller , F. Karsch , K. Schilling

We review recent results on the theta dependence of the ground-state energy and spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the CP-violating topological term F-Fdual in the Lagrangian. In particular,…

High Energy Physics - Theory · Physics 2008-11-26 Luigi Del Debbio , Haralambos Panagopoulos , Ettore Vicari

We compute the spatial-volume dependence of the spectrum of 4D SU(3 <= N <= 6) gauge theories by lattice Monte-Carlo techniques. Setting the scale with the string tension, the spatial volume is L^3 with 0.78fm <= L <= 2.3fm. The Euclidean…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey B. Meyer

Non-perturbative aspects of the physics of $Sp(2N)$ gauge theories are interesting for phenomenological and theoretical reasons, and little studied so far, particularly in the approach to the large-$N$ limit. We examine the spectrum of…

High Energy Physics - Lattice · Physics 2019-12-24 Jack Holligan , Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We calculate the energy spectrum of closed strings in SU(N) gauge theories with N=2,3,4,6,8 in 2+1 dimensions to a high accuracy. We attempt to control all systematic errors, and this allows us to perform a precise comparison with different…

High Energy Physics - Lattice · Physics 2009-09-29 Barak Bringoltz , Michael Teper

We calculate the low-lying glueball spectrum, some string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3+1 dimensions. We do so for N = 2,3,...12, using lattice simulations with the…

High Energy Physics - Lattice · Physics 2022-01-05 Andreas Athenodorou , Michael Teper
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