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{}From an accurate determination of the inter-quark potential, one can study the running coupling constant for a range of $R$-values and hence estimate the scale $\Lambda_{\msbar} $. Detailed results are presented for $SU(3)$ pure gauge…

High Energy Physics - Lattice · Physics 2011-02-19 The UKQCD Collaboration , S. P. Booth , D. S. Henty , A. Hulsebos , A. C. Irving , C. Michael , P. W. Stephenson

The thermodynamic properties of ${\cal N}=1$ supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from…

High Energy Physics - Phenomenology · Physics 2015-09-01 G. Lacroix , C. Semay , F. Buisseret

We study the four-dimensional SU(3) gauge model with a fundamental and an adjoint plaquette term in the action. We investigate whether corrections to scaling can be reduced by using a negative value of the adjoint coupling. To this end, we…

High Energy Physics - Lattice · Physics 2009-11-10 M. Hasenbusch , S. Necco

We compute nonequilibrium dynamics of plasma instabilities in classical-statistical lattice gauge theory in 3+1 dimensions. The simulations are done for the first time for the SU(3) gauge group relevant for quantum chromodynamics. We find a…

High Energy Physics - Phenomenology · Physics 2010-04-15 J. Berges , D. Gelfand , S. Scheffler , D. Sexty

We calculate bulk thermodynamic properties, such as the pressure, energy density, and entropy, in SU(4) and SU(8) lattice gauge theories, for the range of temperatures T <= 2.0Tc and T <= 1.6Tc respectively. We find that the N=4,8 results…

High Energy Physics - Lattice · Physics 2007-05-23 Barak Bringoltz , Michael Teper

The thermodynamic properties of a SU(3) gauge theory without quarks are calculated using a string formulation for 1.2T_c < T < 3T_c. The results are in good agreement with the lattice data. We also comment on SU(N) gauge theories.

High Energy Physics - Phenomenology · Physics 2008-11-26 Oleg Andreev

The extrapolation of truncated perturbative series to the large coupling regime is not reliable since the accuracy of the calculations cannot be improved systematically by a finite set of higher order terms. Instead, a nonperturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 André Peshier

We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining transition, Luescher's gradient flow, and the cooling flow to set the scale. Of those, the cooling flow turns…

High Energy Physics - Lattice · Physics 2021-11-19 Bernd A. Berg , David Clarke

We present Monte Carlo results for the thermodynamics of pure SU(N) gauge theories with $N=2,...,6$ in 2+1 dimensions. We focus on the confined phase region $T<T_c$ and study thermodynamics variables such as the trace of the energy-momentum…

High Energy Physics - Lattice · Physics 2011-07-08 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

We explore a weakly coupled $SU(N_{c})$ gauge theory, examining its fixed-point structure and the transition from infrared conformality to spontaneous symmetry breaking. Following a previous study, we couple the gauge field to $N_s$ scalars…

High Energy Physics - Theory · Physics 2022-01-27 Thomas Appelquist , Lauren Street , L. C. R. Wijewardhana

The perturbation expansion of the MSbar coupling in the SU(N) gauge theory in powers of the bare lattice coupling is extended to two-loop order. A discussion of our results has already been published elsewhere. We here describe the…

High Energy Physics - Lattice · Physics 2009-10-28 Martin Luescher , Peter Weisz

We propose a set of lattice measurements which could test whether the deconfined, quark-gluon plasma, phase of QCD shows strong coupling aspects at temperatures a few times the critical temperature for deconfinement, in the region where the…

High Energy Physics - Phenomenology · Physics 2009-11-05 E. Iancu , A. H. Mueller

Lattice gauge theory simulations are our principal probe of the masses of the light quarks. Results from such computations are the primary evidence against the $m_u=0$ solution to the strong CP problem. The large-$N$ approximation offers an…

High Energy Physics - Phenomenology · Physics 2022-02-02 Daniel Davies , Michael Dine , Benjamin V. Lehmann

Cold atoms have become a powerful platform for quantum-simulating lattice gauge theories in higher spatial dimensions. However, such realizations have been restricted to the lowest possible truncations of the gauge field, which limit the…

I discuss some calculations of the running coupling in SU($N$) gauge theories from lattice simulations, centering on the work of the UKQCD collaboration. This talk is introductory in nature; full details have been published elsewhere.

High Energy Physics - Lattice · Physics 2007-05-23 P. W. Stephenson

Strongly-coupled gauge theories are an important ingredient in the construction of many extensions of the standard model, particularly for models of electroweak symmetry breaking in which the Higgs boson is a composite object. There is a…

High Energy Physics - Lattice · Physics 2012-05-22 Ethan T. Neil

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can…

High Energy Physics - Lattice · Physics 2009-05-29 F. Di Renzo , M. Laine , Y. Schroder , C. Torrero

A novel strong interaction beyond the standard model could provide a dynamical explanation of electroweak symmetry breaking. Experimental results strongly constrain properties of models that realise this mechanism. Whether these constraints…

High Energy Physics - Lattice · Physics 2015-09-02 Biagio Lucini

In this paper we study the viability of persuing analytic variational techniques for the calculation of glueball masses in 3+1 dimensional Hamiltonian lattice gauge theory (LGT) in the pure gauge sector. We discuss the major problems…

High Energy Physics - Lattice · Physics 2007-05-23 Jesse Carlsson , Bruce H. J. McKellar

We study the nature of the finite-temperature transition of the three-dimensional scalar chromodynamics with N_f flavors. These models are constructed by considering maximally O(M)-symmetric multicomponent scalar models, whose symmetry is…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari
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