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In previous work we have presented scheme-independent calculations of physical properties of operators at a conformally invariant infrared fixed point in an asymptotically free gauge theory with gauge group $G$ and $N_f$ fermions in a…

高能物理 - 理论 · 物理学 2018-11-14 Thomas A. Ryttov , Robert Shrock

We study properties of asymptotically free vectorial gauge theories with gauge groups $G={\rm SO}(N_c)$ and $G={\rm Sp}(N_c)$ and $N_f$ fermions in a representation $R$ of $G$, at an infrared (IR) zero of the beta function, $\alpha_{IR}$,…

高能物理 - 理论 · 物理学 2017-11-29 Thomas A. Ryttov , Robert Shrock

We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared (IR) zero in the beta function at $\alpha_{IR}$. We present general formulas for…

高能物理 - 理论 · 物理学 2016-12-07 T. A. Ryttov , R. Shrock

We consider an asymptotically free, vectorial, ${\cal N}=1$ supersymmetric gauge theory with gauge group $G$ and $N_f$ pairs of chiral superfields in the respective representations ${\cal R}$ and $\bar {\cal R}$ of $G$, having an infrared…

高能物理 - 理论 · 物理学 2017-12-06 Thomas A. Ryttov , Robert Shrock

We present the first study of the discrete $\beta$-function of the $ SU(3) $ gauge theory with 10 massless domain-wall fermions in the fundamental representation. The renormalized coupling is obtained by the finite-volume gradient flow…

高能物理 - 格点 · 物理学 2016-03-30 Ting-Wai Chiu

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…

高能物理 - 理论 · 物理学 2017-05-30 Thomas A. Ryttov , Robert Shrock

We have carried out a Schrodinger-functional calculation for the Abelian gauge theory with Nf=2 four-component fermions in three dimensions. We find no fixed point in the beta function, meaning that the theory is confining rather than…

高能物理 - 格点 · 物理学 2014-10-02 Benjamin Svetitsky , Ohad Raviv , Yigal Shamir

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and…

高能物理 - 理论 · 物理学 2016-11-23 Thomas A. Ryttov , Robert Shrock

We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared fixed point of the renormalization group. We calculate scheme-independent series…

高能物理 - 唯象学 · 物理学 2020-04-27 Thomas A. Ryttov , Robert Shrock

We investigate some higher-loop structural properties of the $\beta$ function in asymptotically free vectorial gauge theories. Our main focus is on theories with fermion contents that lead to an infrared (IR) zero in $\beta$. We present…

高能物理 - 理论 · 物理学 2013-05-09 Robert Shrock

We report new results on the conformal properties of an important strongly coupled gauge theory, a building block of composite Higgs models beyond the Standard Model. With twelve massless fermions in the fundamental representation of the…

高能物理 - 格点 · 物理学 2016-11-22 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ massless fermions in a representation $R$, having an infrared fixed point (IRFP) of the renormalization group at $\alpha_{IR}$ in the conformal non-Abelian…

高能物理 - 理论 · 物理学 2017-04-19 Thomas A. Ryttov , Robert Shrock

We calculate the ultraviolet to infrared evolution and analyze possible types of infrared behavior for several asymptotically free chiral gauge theories with gauge group SU($N$) and massless chiral fermions transforming according to a…

高能物理 - 理论 · 物理学 2015-02-05 Yan-Liang Shi , Robert Shrock

We analyze the effect of scheme transformations in the vicinity of an exact or approximate infrared fixed point in an asymptotically free gauge theory with fermions. We show that there is far less freedom in carrying out such scheme…

高能物理 - 唯象学 · 物理学 2012-10-03 Thomas A. Ryttov , Robert Shrock

We unveil the general features of the phase diagram for any gauge theory with fermions transforming according to distinct representations of the underlying gauge group, at the four-loop order. We classify and analyze the zeros of the…

高能物理 - 唯象学 · 物理学 2017-09-19 Claudio Pica , Francesco Sannino

The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson…

高能物理 - 格点 · 物理学 2010-01-15 Benjamin Svetitsky , Yigal Shamir , Thomas DeGrand

We investigate the chiral dynamics of gauge theories developing an infrared stable fixed point. We determine the dependence of the bilinear fermion condensate on the underlying fermion mass and its anomalous dimension. We introduce the…

高能物理 - 唯象学 · 物理学 2010-04-21 Francesco Sannino

We study the discrete beta function of SU(3) gauge theory with Nf=12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an improved gradient flow running coupling $\tilde g_c^2(L)$ we…

高能物理 - 格点 · 物理学 2018-02-28 Anna Hasenfratz , David Schaich

We give a detailed analysis of the effects of scheme transformations in the vicinity of an exact or approximate infrared fixed point in an asymptotically free gauge theory with fermions. We list necessary conditions that such…

高能物理 - 理论 · 物理学 2012-10-05 Thomas A. Ryttov , Robert Shrock

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($N_c$)…

高能物理 - 理论 · 物理学 2019-07-01 Sudhakantha Girmohanta , Thomas A. Ryttov , Robert Shrock
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