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We consider two-dimensional lattice SU($N_c$) gauge theories with $N_f$ real scalar fields transforming in the adjoint representation of the gauge group and with a global O($N_f$) invariance. Focusing on systems with $N_f\ge 3$, we study…

High Energy Physics - Lattice · Physics 2021-05-19 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We compute the renormalized running coupling of SU(3) gauge theory coupled to N_f = 2 flavors of massless Dirac fermions in the 2-index-symmetric (sextet) representation. This model is of particular interest as a minimal realization of the…

High Energy Physics - Lattice · Physics 2015-09-17 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We propose a new and simple method for determining the renormalized quark masses from lattice simulations. Renormalized quark masses are an important input to many phenomenological applications, including searching and modeling physics…

High Energy Physics - Lattice · Physics 2026-03-31 Matthew Black , Robert V. Harlander , Anna Hasenfratz , Antonio Rago , Oliver Witzel

We determine the renormalization constants for flavor non-singlet fermion bilinear operators of M\"obius domain-wall fermions. The renormalization condition is imposed on the correlation functions in the coordinate space, such that the…

High Energy Physics - Lattice · Physics 2016-09-14 JLQCD collaboration , M. Tomii , G. Cossu , B. Fahy , H. Fukaya , S. Hashimoto , T. Kaneko , J. Noaki

In this work we calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. One of the novel aspects of our calculations is that they are carried out to O(a^2) (a: lattice…

A novel approach for estimating the lower end of the $\mathrm{SU}(3)$ conformal window is presented through the study of center vortex geometry and its dependence on the number of fermion flavors $N_f$. Values ranging from $N_f = 2$--$8$…

High Energy Physics - Lattice · Physics 2025-09-17 J. A. Mickley , D. B. Leinweber , D. Nogradi

We propose a new method for simulating lattice gauge theories in the presence of fermions. The method combines flow-based generative models for local gauge field updates and hierarchical updates of the factorized fermion determinant. The…

High Energy Physics - Lattice · Physics 2022-01-10 Jacob Finkenrath

Information of the phase structure of many flavor SU(3) gauge theory is of great interest for finding a theory which dynamically breaks the electro-weak symmetry. We study the SU(3) gauge theory with fermions for $N_f=12$ and 16 in…

The advent of ultracold alkaline-earth atoms in optical lattices has established a platform for investigating correlated quantum matter with SU($N$) symmetry, offering highly tunable model parameters that allow experiments to access…

Particle-based variational inference methods (ParVIs) use nonparametric variational families represented by particles to approximate the target distribution according to the kernelized Wasserstein gradient flow for the Kullback-Leibler (KL)…

Machine Learning · Statistics 2025-03-24 Shiyue Zhang , Ziheng Cheng , Cheng Zhang

This thesis is about new methods of achieving RG transformations, in both a continuum spacetime background and on a lattice discretization thereof. The subject is explored from the point of view of euclidean quantum field theory. As a…

High Energy Physics - Lattice · Physics 2020-06-16 Andrea Carosso

It is expected that SU(2) gauge theory with $N_f$ fundamental fermions has an infrared fixed point when $N_f$ is between $\sim 6$ and 10. We study the hadron spectrum and scale setting in SU(2) gauge field theory with $N_f=2,4,6$ using…

High Energy Physics - Lattice · Physics 2015-11-17 Alessandro Amato , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

We study the transition between spontaneous chiral symmetry breaking and conformal behavior in the SU(3) theory with multiple fermion flavors. Instead of the traditional approach of changing the number of flavors, we keep the number of…

High Energy Physics - Lattice · Physics 2014-11-13 Rich Brower , Anna Hasenfratz , Claudio Rebbi , Evan Weinberg , Oliver Witzel

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential mu and temperature T and the results are compared to the predictions of Effective Lagrangians. Simulations on 16^4 lattices indicate that at…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut

Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N_\sigma^3 \times N_\tau lattices for…

High Energy Physics - Lattice · Physics 2009-10-31 Rajiv V. Gavai

We pursue the study of the high energy behaviour of the gluon propagator on the lattice in the Landau gauge in the flavorless case (n_f=0). It was shown in a precedin g paper that the gluon propagator did not reach three-loop asymptotic…

High Energy Physics - Phenomenology · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We report on a study of two-flavor finite-temperature chiral phase transition employing the Kogut-Susskind quark action and the plaquette gluon action in lattice QCD for a lattice with $N_t=4$ temporal size. Hybrid R simulations of $10^4$…

High Energy Physics - Lattice · Physics 2016-08-25 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa , T. Yoshié

We study the discrete beta function of SU(3) gauge theory with Nf=12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an improved gradient flow running coupling $\tilde g_c^2(L)$ we…

High Energy Physics - Lattice · Physics 2018-02-28 Anna Hasenfratz , David Schaich

The gradient flow is a valuable tool for the lattice community, with applications from scale-setting to implementing chiral fermions. Here I focus on the gradient flow as a means to suppress power-divergent mixing. Power-divergent mixing…

High Energy Physics - Lattice · Physics 2015-12-02 Christopher Monahan

Extracting continuum properties of quantum field theories from discretized spacetime is challenging due to lattice artifacts. Renormalization-group (RG)-improved lattice actions can preserve continuum properties, but are in general…

High Energy Physics - Lattice · Physics 2026-02-16 Kieran Holland , Andreas Ipp , David I. Müller , Urs Wenger