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After a rapid increase in temperature across the deconfinement temperature T_d to temperatures T >> T_d, pure gauge theories exhibit unstable long wavelength fluctuations in the approach to equilibrium. This phenomenon is analogous to…

High Energy Physics - Lattice · Physics 2009-10-31 Travis R. Miller , Michael C. Ogilvie

We study the compatibility of effective mean-field models of the Polyakov loop for the deconfined phase of SU(N) pure gauge theories with lattice data obtained for the case of SU(2), in the temperature range T_c - 4.8 T_c.

High Energy Physics - Lattice · Physics 2009-11-10 Roberto Fiore , Pietro Giudice , Alessandro Papa

We determine the critical couplings for the deconfinement phase transition in $SU(2)$ gauge theory on $N_\tau \times N_\sigma^3$ lattices with $N_\tau = 8$ and 16 and $N_\sigma$ varying between 16 and 48. A comparison with string tension…

High Energy Physics - Lattice · Physics 2009-10-22 J. Fingberg , U. M. Heller , F. Karsch

I show how one can use lattice methods to calculate various continuum properties of SU(N) gauge theories; in part to explore old ideas that N=3 might be close to N=infinity. I describe calculations of the low-lying `glueball' mass spectrum,…

High Energy Physics - Lattice · Physics 2009-11-07 M. Teper

We study the renormalisation of $SU(N_c)$ gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different…

High Energy Physics - Lattice · Physics 2015-09-02 Matteo Giordano

We study properties of a gluon plasma above the critical temperature $T_c$ in a generalized quasi-particle approach with a Lorentz spectral function. The model parameters are determined by a fit of the entropy $s$ to lattice QCD data. The…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Peshier , W. Cassing

We have continued our systematic investigations of the numerical simulations of lattice gauge theories in the dual formulation. These include: i) a more practical implementation of the quasi-local updating technique, ii) a thorough…

High Energy Physics - Lattice · Physics 2015-06-25 N. D. Hari Dass , Dong-Shin Shin

We compute the topological charge and its susceptibility in finite temperature (2+1)-flavor QCD on the lattice applying a gradient flow method. With the Iwasaki gauge action and nonperturbatively $O(a)$-improved Wilson quarks, we perform…

High Energy Physics - Lattice · Physics 2017-08-31 Yusuke Taniguchi , Kazuyuki Kanaya , Hiroshi Suzuki , Takashi Umeda

We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the…

High Energy Physics - Lattice · Physics 2009-10-31 C. Christou , A. Feo , H. Panagopoulos , E. Vicari

Gauge theories can be solved exactly slightly away from the supersymmetric (SUSY) limit softly broken by anomaly mediation when the size of SUSY breaking is much smaller than the dynamical scale ($m \ll \Lambda$). We show empirical evidence…

High Energy Physics - Theory · Physics 2025-12-16 Dan Kondo , Hitoshi Murayama , Bea Noether

We propose a protocol for the scalable quantum simulation of SU($N$)$\times$U(1) lattice gauge theories with alkaline-earth like atoms in optical lattices in both one- and two-dimensional systems. The protocol exploits the combination of…

Quantum Gases · Physics 2024-05-27 Federica Maria Surace , Pierre Fromholz , Francesco Scazza , Marcello Dalmonte

The $SU(2){-}$gauged custodial two-Higgs-doublet model, which shares the same global-symmetry properties with the standard model, is studied non-perturbatively on the lattice. The additional Higgs doublet enlarges the scalar spectrum and…

High Energy Physics - Lattice · Physics 2025-11-03 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

We delve deeper into the potential composition of dark matter as stable scalar glueballs from a confining dark $SU(N)$ gauge theory, focusing on $N=\{3,4,5\}$. To predict the relic abundance of glueballs for the various gauge groups and…

High Energy Physics - Phenomenology · Physics 2023-12-20 Pierluca Carenza , Tassia Ferreira , Roman Pasechnik , Zhi-Wei Wang

We describe some of the recent progress in the calculation of thermodynamic quantities in QCD at high temperatures and densities by weak-coupling techniques and extrapolation to realistic coupling strength. We argue that a (mostly) weakly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Anton Rebhan

The definition and computation of the topological susceptibility in non-abelian gauge theories is complicated by the presence of non-integrable short-distance singularities. Recently, alternative representations of the susceptibility were…

High Energy Physics - Lattice · Physics 2014-11-21 Martin Lüscher , Filippo Palombi

We investigate the large-N phase transition of lattice SU(N) gauge theories in the Wilson formulation, by performing a Monte Carlo simulation of the twisted Eguchi-Kawai model. A variant of the multicanonical algorithm allows a detailed…

High Energy Physics - Lattice · Physics 2009-10-31 Massimo Campostrini

An ab initio calculation of nuclear physics from Quantum Chromodynamics (QCD), the fundamental SU(3) gauge theory of the strong interaction, remains an outstanding challenge. Here, we discuss the emergence of key elements of nuclear physics…

Quantum Gases · Physics 2018-05-17 E. Rico , M. Dalmonte , P. Zoller , D. Banerjee , M. Bogli , P. Stebler , U. -J. Wiese

I summarise what lattice methods can contribute to our understanding of the phenomenology of QCD at large Nc and describe some recent work on the physics of SU(Nc) gauge theories. These non-perturbative calculations show that there is…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Teper

We find a strong-to-weak coupling cross-over in D=2+1 SU(N) lattice gauge theories that appears to become a third-order phase transition at N=\infty, in a similar way to the Gross-Witten transition in the D=1+1 SU(N\to\infty) lattice gauge…

High Energy Physics - Theory · Physics 2008-11-26 Francis Bursa , Michael Teper

We derive non-perturbative sum rules in SU($N$) lattice gauge theory at finite temperature. They relate the susceptibilities of the trace anomaly and energy-momentum tensor to temperature derivatives of the thermodynamic potentials. Two of…

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