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Related papers: Towards the $\beta$ function of SU(2) with adjoint…

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We extend the phase diagram of SU(N) gauge-fermion theories as function of number of flavours and colours to the region in which asymptotic freedom is lost. We argue, using large $N_f$ results, for the existence of an ultraviolet…

High Energy Physics - Phenomenology · Physics 2018-06-13 Oleg Antipin , Francesco Sannino

We study SU(2) Lattice Gauge Theory with dynamical fermions at non-zero chemical potential $\mu$. The symmetries special to SU(2) for staggered fermions on the lattice are discussed explicitly and their relevance to spectroscopy and…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , John B. Kogut , Maria-Paola Lombardo , Susan E. Morrison

We consider $SU(N)$ Yang-Mills theories in $(2n+1)$-dimensional Euclidean spacetime, where $N\geq n+1$, coupled to an even flavour number of Dirac fermions. After integration over the fermionic degrees of freedom the wave functional for the…

High Energy Physics - Theory · Physics 2015-06-26 Domenico Giulini

The bosonic beta-gamma ghost system has long been used in formal constructions of conformal field theory. It has become important in its own right in the last few years, as a building block of field theory approaches to disordered systems,…

High Energy Physics - Theory · Physics 2014-11-18 F. Lesage , P. Mathieu , J. Rasmussen , H. Saleur

We present a brief overview of our recent lattice studies of SU(3) gauge theory with N_f = 8 and 12 fundamental fermions, including some new and yet-unpublished results. To explore relatively unfamiliar systems beyond lattice QCD, we carry…

High Energy Physics - Lattice · Physics 2017-08-23 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

We extend our previous study of the SU(3) gauge theory with N_f=2 flavors of fermions in the sextet representation of color. Our tool is the Schroedinger functional method. By changing the lattice action, we push the bulk transition of the…

High Energy Physics - Lattice · Physics 2013-05-01 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

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

In infinite volume the gradient flow transformation can be interpreted as a continuous real-space Wilsonian renormalization group (RG) transformation. This approach allows one to determine the continuous RG $\beta$ function, an alternative…

High Energy Physics - Lattice · Physics 2021-09-21 Curtis T. Peterson , Anna Hasenfratz , Jake van Sickle , Oliver Witzel

We examine the phase structure of the two-flavor Schwinger model as a function of the $\theta$-angle and the two masses, $m_1$ and $m_2$. In particular, we find interesting effects at $\theta=\pi$: along the $SU(2)$-invariant line $m_1 =…

High Energy Physics - Theory · Physics 2024-03-22 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu , Benjamin T. Søgaard , Bernardo Zan

When a subgroup of the flavor symmetry group of a gauge theory is weakly coupled to additional gauge fields, the vacuum tends to align such that the gauged subgroup is unbroken. At the same time, the lattice discretization typically breaks…

High Energy Physics - Lattice · Physics 2014-10-30 Maarten Golterman , Yigal Shamir

We study the running of the coupling in SU(2) gauge theory with 8 massless fundamental representation fermion flavours, using the gradient flow method with the Schr\"odinger functional boundary conditions. Gradient flow allows us to measure…

High Energy Physics - Lattice · Physics 2015-11-13 Viljami Leino , Tuomas Karavirta , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen

Dilaton effective field theory (dEFT) can be employed to analyze lattice data in gauge theories that lie in close proximity of the lower edge of the conformal window. Under special conditions, we show that it can be used as a diagnostic…

High Energy Physics - Lattice · Physics 2026-02-09 Thomas Appelquist , James Ingoldby , Maurizio Piai

Taming finite-volume effects is a crucial ingredient in order to identify the existence of IR fixed points. We present the latest results from our numerical simulations of SU(2) gauge theory with 2 Dirac fermions in the adjoint…

High Energy Physics - Lattice · Physics 2013-11-25 Luigi Del Debbio , Biagio Lucini , Claudio Pica , Agostino Patella , Antonio Rago , Sabin Roman

We study the phases of the SU(N1)X SU(N2) gauge theory with a bi-fundamental fermion in 3+1 dimensions. We show that the discrete anomalies and Berry phases associated to the one-form symmetry of the theory allow for several topologically…

High Energy Physics - Theory · Physics 2019-06-26 Avner Karasik , Zohar Komargodski

A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin 2r+1/2, is inconsistent. We…

High Energy Physics - Theory · Physics 2019-05-09 Juven Wang , Xiao-Gang Wen , Edward Witten

We consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z_2, which possesses nontrivial topology. In particular, there are…

High Energy Physics - Theory · Physics 2011-04-15 Stephen S. Pinsky , Richard Mohr

Gauge theories with fermions in adjoint and fundamental representations are relevant for many different applications including composite Higgs models and general aspects of the confinement problem. We present first results from simulations…

High Energy Physics - Lattice · Physics 2021-12-01 Georg Bergner , Stefano Piemonte

We study the renormalization group properties of SU(3) gauge theories with N_f=8 and 12 nearly-massless fermions, using Monte Carlo Renormalization Group (MCRG) two-lattice matching techniques to predict bare step-scaling functions s_b.…

High Energy Physics - Lattice · Physics 2012-12-04 Gregory Petropoulos , Anqi Cheng , Anna Hasenfratz , David Schaich

In recent years, many investigations of confining Yang Mills gauge theories near the edge of the conformal window have been carried out using lattice techniques. These studies have revealed that the spectrum of hadrons in nearly conformal…

High Energy Physics - Lattice · Physics 2018-04-18 Andrew Gasbarro

Theories with fermions in the adjoint representation have several interesting applications in extensions of the standard model. The conformal window for these theories is of particular interest for technicolour extensions. We present here…

High Energy Physics - Lattice · Physics 2015-11-17 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte