English
Related papers

Related papers: Conformal window from conformal expansion

200 papers

In this dissertation, we present work towards characterizing various conformal and nearly conformal quantum field theories nonperturbatively using a combination of numerical and analytical techniques. A key area of interest is the conformal…

High Energy Physics - Lattice · Physics 2019-11-04 Andrew David Gasbarro

We apply Schroedinger functional methods to two gauge theories with fermions in two-index representations: the SU(3) theory with Nf=2 adjoint fermions, and the SU(4) theory with Nf=6 fermions in the two-index antisymmetric representation.…

High Energy Physics - Lattice · Physics 2013-09-25 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We present scheme-independent calculations of the anomalous dimensions $\gamma_{\bar\psi\psi,IR}$ and $\gamma_{\bar\chi\chi,IR}$ of fermion bilinear operators $\bar\psi\psi$ and $\bar\chi\chi$ at an infrared fixed point in an asymptotically…

High Energy Physics - Lattice · Physics 2023-09-14 Thomas A. Ryttov , Robert Shrock

This proceedings paper extends the scope of our conference talk, where we presented a comprehensive analysis of newly expanded and refined lattice data concerning the SU(3) gauge theory with Nf = 8 light Dirac fermions - a theory positioned…

High Energy Physics - Lattice · Physics 2024-01-17 James Ingoldby

We summarize our results concerning the spectrum and mass anomalous dimension of SU(2) gauge theories with various numbers of fermions in the adjoint representation, where each Majorana fermion corresponds effectively to half a Dirac…

High Energy Physics - Lattice · Physics 2017-02-01 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We study an SU(3) gauge theory with Nf=8 degenerate flavors of light fermions in the fundamental representation. Using the domain wall fermion formulation, we investigate the light hadron spectrum, chiral condensate and electroweak S…

Strongly coupled gauge systems with many fermions are important in many phenomenological models. I use the 2-lattice matching Monte Carlo renormalization group method to study the fixed point structure and critical indexes of SU(3) gauge…

High Energy Physics - Lattice · Physics 2014-11-20 Anna Hasenfratz

We introduce a new concept "conformal theories with an IR cutoff", after pointing out that the following two categories in SU(3) gauge theories with fundamental N_f fermions possess an IR fixed point: Large N_f QCD with N_f in the conformal…

High Energy Physics - Lattice · Physics 2013-11-14 Y. Iwasaki

We study a vectorial asymptotically free gauge theory, with gauge group $G$ and $N_f$ massless fermions in a representation $R$ of this group, that exhibits an infrared (IR) zero in its beta function, $\beta$, at the coupling…

High Energy Physics - Theory · Physics 2017-05-30 Thomas A. Ryttov , Robert Shrock

We consider lattice gauge theories at strong coupling with gauge group $U(N_C)$, or $SU(N_C)$ restricted to the meson sector, and coupled to $N_F$ flavors of fundamental representation staggered fermions. We study the formation of a chiral…

High Energy Physics - Lattice · Physics 2015-06-12 E. T. Tomboulis

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 new results for the SU(3) "sextet model" with two flavors transforming according to the two-index symmetric representation of the gauge group. The simulations are performed using unimproved Wilson fermions. We measure the meson…

High Energy Physics - Lattice · Physics 2016-07-26 Vincent Drach , Martin Hansen , Ari Hietanen , Claudio Pica , Francesco Sannino

Emergent symmetry in Dirac system means that the system acquires an enlargement of two basic symmetries at some special critical point. The continuous quantum criticality between the two symmetry broken phases can be described within the…

Strongly Correlated Electrons · Physics 2022-06-29 Jiang Zhou

We show the numerical simulation result for the mass anomalous dimension of the SU($3$) gauge theory coupled to $N_f = 12$ fundamental fermions. We use two independent methods, namely the step scaling method and the hyperscaling method of…

High Energy Physics - Lattice · Physics 2014-11-06 Etsuko Itou , Akio Tomiya

We present first results for lattice simulations, on a single volume, of the low-lying spectrum of an SU(3) Yang-Mills gauge theory with ten light fermions in the fundamental representation. Fits to the fermion mass dependence of various…

Via large and small $N_c$ relations we derive nonperturbative results about the conformal window of two-index theories. Using Schwinger-Dyson methods as well as four-loops results we estimate subleading corrections and show that naive large…

High Energy Physics - Theory · Physics 2016-01-27 Georg Bergner , Thomas A. Ryttov , Francesco Sannino

Interacting theories of N relativistic fermion flavors in reducible spinor representations in 2+1 spacetime dimensions are formulated on a lattice using domain wall fermions (DWF), for which a U(2N) global symmetry is recovered in the limit…

High Energy Physics - Lattice · Physics 2016-11-23 Simon Hands

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…

High Energy Physics - Theory · Physics 2021-06-14 Domenico Orlando , Susanne Reffert , Francesco Sannino

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 consider a linear sigma model describing $2N_f^2$ bosons ($\sigma$, ${\bf a_0}$, $\eta '$ and ${\bf \pi}$) as an approximate effective theory for a $SU(3)$ local gauge theory with $N_f$ Dirac fermions in the fundamental representation.…

High Energy Physics - Lattice · Physics 2017-12-20 Y. Meurice