大Pleromal嬗变：通过Konsishi异常，维度嬗变和超极小GUT的凝聚
Grand Pleromal Transmutation : condensates via Konsishi anomaly, dimensional transmutation and ultraminimal GUTs
摘要：
使用的一致性要求有关的手征凝聚所施加的所谓的广义小西异常，我们表明，通过高根诺凝聚{ \emph{in the ultraviolet} }驱动器规范对称性破缺的一大类{ \emph{asymptotically strong} }超级杨米尔斯希格斯理论的尺寸嬗变。对于伴随多重态手征超场$Φ$（变换为非阿贝尔规范群G的$r \times \bar r$表示），通过求解广义小西反常（GKA）方程，可以计算确定规范群凝聚的尺度$Λ_{UV} \simeq M_X \, e^{\frac{8π^2}{ g^2(M_X) b_0}} $的量子修正VEV。因此，规范耦合在微扰统一尺度$M_X$产生的大统一理论对称性破缺VEV的非微扰维度嬗变。这就避免了在超势中需要大的（或任何）输入质量尺度。降秩可以通过包括变换为$({\bf Q}(r),{ \bf\bar Q}(\bar r))$或$ (\Sig((r\otimes r)_{symm})), \Sigb(({\bar r \otimes\bar r})_{symm})$的手征超场对来实现，其与$Φ$形成三线性矩阵规范不变量$\bar Q\cdot Φ\cdot Q, \Sigb \cdot Φ\cdot \Sig $。新的，强大的和{ \emph{ultraminimal} }大统一算法出现的分析。我们用Spin（10）的$16$ -plet作为基本表示$r$，绘制了一个真实的Spin（10）模型的结构，它模仿了真实的最小超对称GUT，但包含更少的自由参数。我们认为，我们的研究结果指向一个大的扩展的主导和规范的范例的渐近自由$/$ IR色禁闭和潜在的驱动自发对称性破缺，长期统治规范理论。
英文摘要：
Using consistency requirements relating chiral condensates imposed by the so called Generalized Konishi Anomaly, we show that dimensional transmutation via gaugino condensation {\emph{in the ultraviolet}} drives gauge symmetry breaking in a large class of {\emph{asymptotically strong}} Super Yang Mills Higgs theories. For Adjoint multiplet type chiral superfields $Φ$ (transforming as $r \times \bar r$ representations of a non Abelian gauge group G), solution of the Generalized Konishi Anomaly(GKA) equations allows calculation of quantum corrected VEVs in terms of the dimensional transmutation scale $Λ_{UV} \simeq M_X \, e^{\frac{8π^2}{ g^2(M_X) b_0}} $ which determines the gaugino condensate. Thus the gauge coupling at the perturbative unification scale $M_X$ generates GUT symmetry breaking VEVs by non-perturbative dimensional transmutation. This obviates the need for large(or any) input mass scales in the superpotential. Rank reduction can be achieved by including pairs of chiral superfields transforming as either $({\bf Q}(r),{ \bf\bar Q}(\bar r))$ or $ (\Sig((r\otimes r)_{symm})), \Sigb(({\bar r \otimes\bar r})_{symm})$, that form trilinear matrix gauge invariants $\bar Q\cdot Φ\cdot Q, \Sigb \cdot Φ\cdot \Sig $ with $Φ$. Novel, robust and {\emph{ultraminimal}} Grand unification algorithms emerge from the analysis. We sketch the structure of a realistic Spin(10) model, with the $16$-plet of Spin(10) as the base representation $r$, which mimics the realistic Minimal Supersymmetric GUT but contains even fewer free parameters. We argue that our results point to a large extension of the dominant and normative paradigms of Asymptotic Freedom$/$IR colour confinement and potential driven spontaneous symmetry breaking that have long ruled gauge theories.
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