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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 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 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 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 study asymptotically free SU($N_c$) gauge theories with ${\cal N}=1$ supersymmetry, including the purely gluonic theory and theories with $N_f$ copies of a pair of massless chiral superfields in the respective representations $R$ and…

高能物理 - 理论 · 物理学 2016-03-24 Gongjun Choi , 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 study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the pattern of underlying symmetries, chiral and…

高能物理 - 格点 · 物理学 2015-06-23 M. P. Lombardo , K. Miura , T. J. Nunes da Silva , E. Pallante

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 determine the phase diagram of complete asymptotically free SU($N_c$) gauge theories featuring $N_s$ complex scalars and $N_f$ Dirac quarks transforming according to the fundamental representation of the gauge group. The analysis is…

We consider vectorial, asymptotically free ${\cal N}=1$ supersymmetric SU($N_c$) gauge theories with $N_f$ copies of massless chiral super fields in various representations and study how perturbative predictions for the lower boundary of…

高能物理 - 唯象学 · 物理学 2012-04-26 Thomas A. Ryttov , Robert Shrock

We investigate the IR phases of non-supersymmetric (non-SUSY) $SO(N_c)$ gauge theories with $N_F$ fermions in the vector representation obtained by perturbing the SUSY theory with anomaly mediated SUSY breaking (AMSB). We find that of the…

高能物理 - 理论 · 物理学 2022-01-05 Csaba Csáki , Andrew Gomes , Hitoshi Murayama , Ofri Telem

We study $SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions in the presence of quark chemical potential $\mu$. A recent exact result that in the strong coupling limit (vanishing inverse gauge coupling…

高能物理 - 理论 · 物理学 2015-07-06 E. T. Tomboulis

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

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 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 consider N=1 SU(N_c) gauge theory with an adjoint matter field $\Phi$, N_f flavors of fundamentals Q and antifundamentals \tQ, and tree-level superpotential of the form $\tQ\Phi^l Q$. This superpotential is relevant or marginal for…

高能物理 - 理论 · 物理学 2016-09-06 Anton Kapustin
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