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Related papers: Large-N reduction with adjoint Wilson fermions

200 papers

We analyze the meson spectrum in SU(N_c) lattice gauge theory. We use Wilson quarks to measure the pseudoscalar and vector masses in SU(2), SU(3), SU(4) and SU(6), and extrapolate to the large-N_c limit. We find that finite-N_c corrections…

High Energy Physics - Lattice · Physics 2008-11-26 Gunnar Bali , Francis Bursa

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present the implementation of the RHMC algorithm for simulating dynamical Wilson fermions. A first dataset is presented…

High Energy Physics - Lattice · Physics 2010-01-21 Luigi Del Debbio , Agostino Patella , Claudio Pica

We present our investigations of SU($N$) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop,…

High Energy Physics - Lattice · Physics 2024-04-08 Georg Bergner , Stefano Piemonte , Mithat Ünsal

We present results from a simulation of SU(2) lattice gauge theory with N_f=4 flavors of Wilson fermion and non-zero quark chemical potential mu, using the same 12^3x24 lattice, bare gauge coupling, and pion mass in cut-off units as a…

High Energy Physics - Lattice · Physics 2011-05-18 Simon Hands , Philip Kenny , Seyong Kim , Jon-Ivar Skullerud

It has been proposed that four-dimensional QCD with fermions in the adjoint representation exhibits volume-independence in the large-N limit. If correct, this would mean that results for physical quantities could be obtained from the…

High Energy Physics - Lattice · Physics 2010-11-05 Barak Bringoltz , Stephen R. Sharpe

We study the single site lattice gauge theory of SU(N) coupled to one Dirac flavor of fermion in the adjoint representation. We utilize M\"obius fermions for this study, and accelerate the calculation with graphics processing units (GPUs).…

High Energy Physics - Lattice · Physics 2016-02-10 William Cunningham , Joel Giedt

The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of…

High Energy Physics - Lattice · Physics 2010-11-05 Timothy J. Hollowood , Joyce C. Myers

We propose gauging matrix models of string theory to eliminate unwanted non-singlet states. To this end we perform a discretised light-cone quantisation of large N gauge theory in 1+1 dimensions, with scalar or fermionic matter fields…

High Energy Physics - Theory · Physics 2013-11-13 S. Dalley , I. Klebanov

The twisted reduced model of large $N$ QCD with two adjoint Wilson fermions is studied numerically using the Hybrid Monte Carlo method. This is the one-site model, whose large $N$ limit (large volume limit) is expected to be conformal or…

High Energy Physics - Lattice · Physics 2013-04-02 Antonio González-Arroyo , Masanori Okawa

We derive a formula for the large N behaviour of the expectation values of an arbitrary product of Wilson loops in the adjoint representation. We show the consequences of our formula for the study of the large N strong coupling behaviour of…

High Energy Physics - Theory · Physics 2009-10-31 A. Gonzalez-Arroyo , C. Pena

We present a lattice simulation study of large $N_c$ regularities of meson and baryon spectroscopy in $SU(N_c)$ gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include $N_c=2$, 3, 4, and…

High Energy Physics - Lattice · Physics 2017-01-04 Thomas DeGrand , Yuzhi Liu

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. The pseudoscalar meson mass as a function of hopping…

High Energy Physics - Lattice · Physics 2010-04-30 Kei-ichi Nagai , Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU($N_c$)…

High Energy Physics - Theory · Physics 2019-07-01 Sudhakantha Girmohanta , Thomas A. Ryttov , Robert Shrock

We present a numerical study of the spectrum of an asymptotically non-free $SU(2)$ gauge theory with $N_f=24$ massive fermion flavors. For such large number of flavors, asymptotic freedom is lost and the massless theory is governed by a…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

The effective potential for the Wilson loop in the SU(2) gauge theory with N_f massive fundamental and N_a massive adjoint fermions on S^1 x M^4 is computed at the one-loop level, assuming periodic boundary conditions for the gauge field…

High Energy Physics - Phenomenology · Physics 2009-11-10 Muge Boz , Namik K. Pak

We consider 1+1 dimensional SU(N) gauge theory coupled to a multiplet of massive Dirac fermions transforming in the adjoint representation of the gauge group. The only global symmetry of this theory is a U(1) associated with the conserved…

High Energy Physics - Theory · Physics 2012-09-18 Rajesh Gopakumar , Akikazu Hashimoto , Igor R. Klebanov , Subir Sachdev , Kareljan Schoutens

Motivated by recent progress on the understanding of the Eguchi-Kawai (EK) volume equivalence and growing interest in conformal window, we simultaneously use the large-Nc volume reduction and Chiral Random Matrix Theory (chRMT) to study the…

High Energy Physics - Lattice · Physics 2013-01-03 Jong-Wan Lee , Masanori Hanada , Norikazu Yamada

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

High Energy Physics - Lattice · Physics 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

In this paper we present our results concerning the dependence of Wilson loop expectation values on the size of the lattice and the rank of the SU(N) gauge group. This allows to test the claims about volume independence in the large N…

High Energy Physics - Lattice · Physics 2015-06-23 Antonio Gonzalez-Arroyo , Masanori Okawa

The twisted reduced model of large $N$ QCD with two adjoint Wilson fermions is studied numerically using the Hybrid Monte Carlo method. This is the one-site model, whose large $N$ limit (large volume limit) is expected to be conformal or…

High Energy Physics - Lattice · Physics 2012-10-31 Antonio González-Arroyo , Masanori Okawa