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相关论文: Infrared Fixed Point Physics in ${\rm SO}(N_c)$ an…

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We consider a vectorial, asymptotically free SU($N_c$) gauge theory with $N_f$ fermions in a representation $R$ having an infrared (IR) fixed point. We calculate and analyze Pad\'e approximants to scheme-independent series expansions for…

高能物理 - 理论 · 物理学 2018-01-17 Thomas A. Ryttov , Robert Shrock

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 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

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 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

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 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…

高能物理 - 格点 · 物理学 2023-09-14 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 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 consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ fermions in the fundamental representation and analyze higher-loop contributions to the evolution of the theory from the ultraviolet to the infrared in the limit…

高能物理 - 理论 · 物理学 2013-06-26 Robert Shrock

We present scheme-independent calculations of the derivative of the beta function, denoted $\beta'_{IR}$, at a conformally invariant infrared (IR) fixed point, in several asymptotically free chiral gauge theories, namely SO($4k+2$) with $2…

高能物理 - 理论 · 物理学 2018-02-05 Thomas A. Ryttov , Robert Shrock

We present the first analytic scheme-independent series calculations of anomalous dimensions of several types of baryon operators at an infrared fixed point (IRFP) in an asymptotically free SU(3) gauge theory with $N_f$ fermions.…

高能物理 - 理论 · 物理学 2018-06-27 John A. Gracey , Thomas A. Ryttov , Robert Shrock

Several simple asymptotically-free chiral gauge theories are studied. The only ``free parameters'' of our models are the choice of the gauge group and the matter Weyl fermion representations, and the relative magnitudes of the…

高能物理 - 理论 · 物理学 2026-05-12 Stefano Bolognesi , Kenichi Konishi , Matteo Orso

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 study asymptotically free chiral gauge theories with an SU($N$) gauge group and chiral fermions transforming according to the antisymmetric rank-$k$ tensor representation, $A_k \equiv [k]_N$, and the requisite number, $n_{\bar F}$, of…

高能物理 - 理论 · 物理学 2015-12-02 Yan-Liang Shi , Robert Shrock

We consider a vectorial, asymptotically free gauge theory and analyze the effect of higher-loop corrections to the beta function on the evolution of the theory from the ultraviolet to the infrared. We study the case in which the theory…

高能物理 - 唯象学 · 物理学 2011-03-22 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

We present a scheme-independent calculation of the infrared value of the anomalous dimension of the fermion bilinear, $\gamma_{\bar\psi\psi,IR}$ in an SU(3) gauge theory as a function of the number of fermions, $N_f$, via a series expansion…

高能物理 - 理论 · 物理学 2016-11-30 Thomas A. Ryttov , Robert Shrock

We classify $su(N_c)$ gauge theories on $\mathbb R^3\times \mathbb S^1$ with massless fermions in higher representations obeying periodic boundary conditions along $\mathbb S^1$. In particular, we single out the class of theories that is…

高能物理 - 理论 · 物理学 2018-01-17 Mohamed M. Anber , Loïc Vincent-Genod

We study the dynamics of $SU(N)$ chiral gauge theories with massless fermions belonging to various combinations of the symmetric, antisymmetric or fundamental representations. We limit ourselves to the gauge-anomaly-free and asymptotically…

高能物理 - 理论 · 物理学 2023-04-10 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio
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