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We calculate the meson spectrum of the Sp(4) lattice gauge theory coupled to two fundamental flavours of dynamical Dirac fermions. We focus on some of the lightest (flavoured) spin-0 and spin-1 states. This theory provides an ultraviolet…

High Energy Physics - Lattice · Physics 2019-11-04 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We investigate the scalar and pseudoscalar spectrum of the $SU(2)$ gauge theory with $N_f=2$ flavours of fermions in the fundamental representation using non perturbative lattice simulations. We provide first benchmark estimates of the mass…

High Energy Physics - Lattice · Physics 2016-08-17 Rudy Arthur , Vincent Drach , Ari Hietanen , Claudio Pica , Francesco Sannino

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

Strong theoretical arguments suggest that the Higgs sector of the Standard Model of the Electroweak interactions is an effective low-energy theory, with a more fundamental theory that is expected to emerge at an energy scale of the order of…

High Energy Physics - Phenomenology · Physics 2011-05-19 Biagio Lucini

We report on a high statistics simulation of SU(2) pure gauge field theory at finite temperature, using Symanzik action. We determine the critical coupling for the deconfinement phase transition on lattices up to 8 x 24, using Finite Size…

High Energy Physics - Lattice · Physics 2009-10-22 Giancarlo cella , Giuseppe Curci , Raffaele Tripiccione , Andrea Vicere'

We present a study of spectroscopy of SU(4) lattice gauge theory coupled to two flavors of Dirac fermions in the anti-symmetric two index representation. The fermion representation is real, and the pattern of chiral symmetry breaking is…

High Energy Physics - Lattice · Physics 2016-11-22 Thomas DeGrand , Yuzhi Liu , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

The scaling of the number of Rydberg excitations in a laser-driven cloud of atoms with the interaction strength is found to be affected by the finite size of the system. The scaling predicted by a theoretical model is compared with results…

Atomic Physics · Physics 2013-10-16 M. Gärttner , K. P. Heeg , T. Gasenzer , J. Evers

We review methods and results for extracting the anomalous dimensions of operators from lattice field theory calculations. The most important application is the anomalous mass dimension in conformal or nearly conformal gauge field theories…

High Energy Physics - Lattice · Physics 2016-05-04 Joel Giedt

We consider a finite size scaling function across a topological phase transition in 1D models. For models of non-interacting fermions it was shown to be universal for all topological symmetry classes and markedly asymmetric between trivial…

Statistical Mechanics · Physics 2020-07-01 Yuting Wang , Hao Zhang , Alex Kamenev

We analyze universal and nonuniversal finite-size effects of lattice systems in a $L^d$ geometry above the upper critical dimension d = 4 within the O(n) symmetric $\phi^4$ lattice theory. On the basis of exact results for $n \to\infty$ and…

Statistical Mechanics · Physics 2021-05-26 X. S. Chen , V. Dohm

As a computationally less costly test case for full QCD, we investigate an SU(3) Yang-Mills theory coupled to a bosonic spinor field. This theory corresponds to QCD with minus two quark flavors and is known as the bermion model. Our central…

High Energy Physics - Lattice · Physics 2007-05-23 Bernd Gehrmann

We construct a few parameter approximate fixed point action for SU(2) pure gauge theory and subject it to scaling tests, via Monte Carlo simulation. We measure the critical coupling for deconfinement for lattices of temporal extent $N_t=2$,…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand , Anna Hasenfratz , Decai Zhu

Four fermion interactions appear in many models of Beyond Standard Model physics. In Technicolour and composite Higgs models Standard Model fermion masses can be generated by four fermion terms. They are also expected to modify the dynamics…

High Energy Physics - Lattice · Physics 2016-11-03 Jarno Rantaharju , Vincent Drach , Claudio Pica , Francesco Sannino

We present a new finite-size scaling method for the random walks (RW) superseeding a previously widely used renormalization group approach, which is shown here to be inconsistent. The method is valid in any dimension and is based on the…

Condensed Matter · Physics 2009-10-22 Achille Giacometti , Hisao Nakanishi

A recently introduced method for determining the critical indices of the deconfinement transition in gauge theories, already tested for the case of 3D SU(3) pure gauge theory, is applied here to 4D SU(2) pure gauge theory. The method is…

High Energy Physics - Lattice · Physics 2009-11-07 Alessandro Papa , Carlo Vena

The scaling laws in an infrared conformal (IR) theory are dictated by the critical exponents of relevant operators. We have investigated these scaling laws at leading order in two previous papers. In this work we investigate further…

High Energy Physics - Phenomenology · Physics 2014-03-11 Luigi Del Debbio , Roman Zwicky

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. Our theory is based on recent mathematically rigorous results…

Statistical Mechanics · Physics 2026-03-02 Yucheng Liu , Jiwoon Park , Gordon Slade

I study the universal finite-size scaling function for the lowest gap of the quantum Ising chain with a one-parameter family of ``defect'' boundary conditions, which includes periodic, open, and antiperiodic boundary conditions as special…

Statistical Mechanics · Physics 2019-10-16 Masaki Oshikawa

We present preliminary results of lattice simulations of SU(2) gauge theory with two Wilson fermions in the adjoint representation. This theory has recently attracted considerable attention because it might possess an infrared fixed point…

High Energy Physics - Lattice · Physics 2010-01-21 Ari Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

The results of analysis of the one--loop spectrum of anomalous dimensions of composite operators in the scalar $ \phi^{4} $ model are presented. We give the rigorous constructive proof of the hypothesis on the hierarchical structure of the…

High Energy Physics - Theory · Physics 2008-11-26 S. E. Derkachov , A. N. Manashov