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Related papers: Mass Anomalous Dimension at Large N

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In this work we present the results of a numerical investigation of SU(2) gauge theory with N_f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two…

High Energy Physics - Lattice · Physics 2018-03-14 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

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

A strategy for computing the psibar-psi anomalous dimension at the fixed point in infrared-conformal gauge theories from lattice simulations is discussed. The method is based on the scaling of the spectral density of the Dirac operator or…

High Energy Physics - Lattice · Physics 2012-08-20 Agostino Patella

Massless overlap fermions in the real representation of two dimensional $SU(N_c)$ gauge theories exhibit a mod($2$) index due to the rigidity of its spectrum when viewed as a function of the background gauge field - lattice gauge fields on…

High Energy Physics - Lattice · Physics 2025-09-12 Rajamani Narayanan , Ray Romero

We present a Monte Carlo Renormalisation Group (MCRG) study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two-lattice matching technique we measure the running of the coupling and the anomalous…

High Energy Physics - Phenomenology · Physics 2011-10-11 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

We present an update of our ongoing study of the SU(2) gauge theory with one flavor of Dirac fermion in the adjoint representation. Compared to our previous results we now have data at larger lattice volumes, smaller values of the fermion…

High Energy Physics - Lattice · Physics 2023-01-05 Ed Bennett , Andreas Athenodorou , Georg Bergner , Pietro Butti , Biagio Lucini

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two-lattice matching technique we measure the running of the coupling and the anomalous mass…

High Energy Physics - Phenomenology · Physics 2013-05-30 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

Many evidences from lattice simulations support the idea that SU(2) with two Dirac flavors in the adjoint representation (also called Minimal Walking Technicolor) is IR conformal. A possible way to see this is through the behavior of the…

High Energy Physics - Lattice · Physics 2011-11-22 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago

The phase diagrams at high temperature of SU(N) gauge theories with massive fermions are calculated by numerically minimizing the one-loop effective potential. We consider fermions in the Fundamental (F), Adjoint (Adj), Antisymmetric (AS),…

High Energy Physics - Lattice · Physics 2010-01-21 Joyce C. Myers , Michael C. Ogilvie

This work covers volume reduction in quantum field theories on a lattice at large $N$ (number of colors), as first described by Eguchi and Kawai in 1982. The volume reduction (or volume independence) means that the theory defined on an…

High Energy Physics - Lattice · Physics 2013-12-20 Mateusz Koren

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…

High Energy Physics - Lattice · Physics 2015-06-24 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

We compare observables to the finite size scaling hypothesis in SU(2) lattice gauge theory with two Dirac fermions in the adjoint representation. The fits that we obtain yield an estimate of the anomalous mass dimension that is consistent…

High Energy Physics - Lattice · Physics 2013-05-30 Joel Giedt , Evan Weinberg

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the…

High Energy Physics - Lattice · Physics 2018-06-20 Alessandro Amato , Viljami Leino , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

In a Ginzburg-Landau theory with $n$ fields, the anomalous dimension of the gauge-invariant nonlocal order parameter defined by the long-distance limit of Dirac's gauge-invariant two-point function is calculated. The result is exact for all…

Superconductivity · Physics 2009-11-11 H. Kleinert , A. M. J. Schakel

We study the single site SU(N) lattice gauge theory with N_f=2 adjoint Wilson fermions for values of N up to 53. We determine the phase diagram of the theory as a function of the hopping parameter kappa and the inverse 't Hooft coupling b,…

High Energy Physics - Lattice · Physics 2011-11-07 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two lattice matching technique recently advocated and exploited in [arXiv:0907.0919], we measure…

High Energy Physics - Phenomenology · Physics 2011-03-18 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

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

In the exploration of viable models of dynamical electroweak symmetry breaking, it is essential to locate the lower end of the conformal window and know the mass anomalous dimensions there for a variety of gauge theories. We calculate, with…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , N. Yamada

We present a first exploratory study of SU(2) gauge theory with one Dirac flavour in the adjoint representation. We provide initial results for the spectroscopy and the anomalous dimension for the chiral condensate. Our investigation…

High Energy Physics - Lattice · Physics 2013-11-19 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini , Agostino Patella

We present a major update on our investigations of SU(2) gauge theory with one Dirac flavor in the adjoint representation on the lattice. In particular we consider larger volumes, as well as four different values of the gauge coupling. We…

High Energy Physics - Lattice · Physics 2022-04-18 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini