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We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our approach we use the time-honored example of…

高能物理 - 理论 · 物理学 2021-06-14 Domenico Orlando , Susanne Reffert , Francesco Sannino

In previous work, arXiv:1905.01909, we have calculated the $m_\varrho / f_\pi$ ratio in the chiral and continuum limit for $SU(3)$ gauge theory coupled to $N_f = 2,3,4,5,6$ fermions in the fundamental representation. The main result was…

高能物理 - 格点 · 物理学 2021-08-18 Andrey Yu. Kotov , Daniel Nogradi , Kalman K. Szabo , Lorinc Szikszai

The axial anomaly arising from the fermion sector of $\U(N)$ or $\SU(N)$ reduced model is studied under a certain restriction of gauge field configurations (the ``$\U(1)$ embedding'' with $N=L^d$). We use the overlap-Dirac operator and…

高能物理 - 格点 · 物理学 2009-11-10 Teruaki Inagaki , Yoshio Kikukawa , Hiroshi Suzuki

SU(2) gauge theory coupled to massless fermions in the adjoint representation is quantized in light-cone gauge by imposing the equal-time canonical algebra. The theory is defined on a space-time cylinder with "twisted" boundary conditions,…

高能物理 - 理论 · 物理学 2007-05-23 Eliana Vianello

We study the evolution of the coupling in SU(2) gauge field theory with $N_f=4$, 6 and 10 fundamental fermion flavours on the lattice. These values are chosen close to the expected edges of the conformal window, where the theory possesses…

高能物理 - 格点 · 物理学 2015-03-19 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We address the interplay between local and global symmetries by analyzing the continuum limit of two-dimensional multicomponent scalar lattice gauge theories, endowed by non-Abelian local and global invariance. These theories are…

高能物理 - 格点 · 物理学 2021-10-27 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

Results are reported for the beta-function of weakly coupled conformal gauge theories on the lattice, SU(3) with Nf=14 fundamental and Nf=3 sextet fermions. The models are chosen to be close to the upper end of the conformal window where…

高能物理 - 格点 · 物理学 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

We use lattice simulations to study the single-site version of SU(N) lattice gauge theory with two flavors of Wilson-Dirac fermions in the adjoint representation, a theory whose large volume correspondent is expected to be conformal or…

高能物理 - 格点 · 物理学 2013-05-30 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation, including the relevance to recent searches for a conformal…

高能物理 - 格点 · 物理学 2010-11-04 Kei-ichi Nagai , Maria Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

We study SU(2) lattice gauge theory with two flavours of Dirac fermions in the adjoint representation. We measure the running of the coupling in the Schroedinger Functional (SF) scheme and find it is consistent with existing results. We…

高能物理 - 唯象学 · 物理学 2010-04-06 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We apply Schrodinger-functional techniques to the SU(2) lattice gauge theory with N_f=2 flavors of fermions in the adjoint representation. Our use of hypercubic smearing enables us to work at stronger couplings than did previous studies,…

高能物理 - 格点 · 物理学 2011-05-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We classify $su(N_c)$ gauge theories on $\mathbb R^3\times \mathbb S^1$ with massless fermions in higher representations obeying periodic boundary conditions along $\mathbb S^1$. In particular, we single out the class of theories that is…

高能物理 - 理论 · 物理学 2018-01-17 Mohamed M. Anber , Loïc Vincent-Genod

Defining chiral lattice gauge theories in the Ginsparg-Wilson formalism is complicated by the so-called fermion measure problem. It has been proven for the abelian theories that smooth well-behaved fermion measure exists if and only if the…

高能物理 - 格点 · 物理学 2013-04-11 Yanwen Shang

We discuss the problem of formulating the continuum limit of chiral gauge theories ($\chi$GT) in the absence of an explicitly gauge-invariant regulator for the fermions. A solution is proposed which is independent of the details of the…

高能物理 - 唯象学 · 物理学 2008-02-03 Pilar Hernandez , Raman Sundrum

We present a lattice study of the $SU(4)$ gauge theory with two Dirac fermions in the fundamental and two in the two-index antisymmetric representation, a model close to a theory of partial compositeness. Focus of this work are the…

高能物理 - 格点 · 物理学 2023-04-05 Luigi Del Debbio , Alessandro Lupo , Marco Panero , Nazario Tantalo

We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N). The fixed points of the…

高能物理 - 理论 · 物理学 2014-10-02 Thomas A. Ryttov

We devise a unitary transformation that replaces the fermionic degrees of freedom of lattice gauge theories by (hard-core) bosonic ones. The resulting theory is local and gauge invariant, with the same symmetry group. The method works in…

量子物理 · 物理学 2018-08-17 Erez Zohar , J. Ignacio Cirac

SU(2) gauge theory with one Dirac flavour in the adjoint representation is investigated on a lattice. Initial results for the gluonic and mesonic spectrum, static potential from Wilson and Polyakov loops, and the anomalous dimension of the…

高能物理 - 格点 · 物理学 2015-06-24 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

We develop an effective-field-theory (EFT) framework to analyze the spectra emerging from lattice simulations of a large class of confining gauge theories. Simulations of these theories, for which the light-fermion count is not far below…

高能物理 - 唯象学 · 物理学 2017-08-02 Thomas Appelquist , James Ingoldby , Maurizio Piai

As a part of the project studying large $N_f$ QCD, the LatKMI Collaboration has been investigating the SU(3) gauge theory with four fundamental fermions (four-flavor QCD). The main purpose of studying four-flavor QCD is to provide a…