Using consistency requirements relating chiral condensates imposed by the so called Generalized Konishi Anomaly, we show that dimensional transmutation via gaugino condensation in the ultraviolet drives gauge symmetry breaking in a large class of asymptotically strong Super Yang Mills Higgs theories. For Adjoint multiplet type chiral superfields Φ (transforming as $r\times \overline{r}$ 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 ${\mathrm{\Lambda }}_{UV}\simeq M_X{e}^{\frac{8{\pi }^2}{g^2(M_X)b_0}}$ 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 $(\mathbf{Q}(r),\overline{\mathbf{Q}}(\overline{r}))$ or $(\mathbf{\Sigma }({(r\otimes r)}_{symm})),\bar{\mathbf{\Sigma }}({(\overline{r}\otimes \overline{r})}_{symm})$, that form trilinear matrix gauge invariants $\overline{Q}\cdot \mathrm{\Phi }\cdot Q,\bar{\mathbf{\Sigma }}\cdot \mathrm{\Phi }\cdot \mathbf{\Sigma }$ with Φ. Novel, robust and 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.

使用与所谓的广义Konishi异常强加的手性缩合物有关的一致性要求，我们显示了通过高庚诺缩合在紫外线中进行的尺寸dimensional变驱动尺度对称性打破了一大类渐近强的Super Yang Mills Higgs理论。对于伴随多重态手性超场Φ（转换为$\mathrm{[R}\times \overline{\mathrm{[R}}$ 非阿贝尔规范组G的表示形式），广义Konishi异常（GKA）方程的解允许根据尺寸变尺度计算量子校正的VEV ${\mathrm{\Lambda }}_{üV}\simeq {\mathrm{中号}}_X{Ë}^{\frac{8{\pi }^2}{G^2（{\mathrm{中号}}_X）b_0}}$这决定了gaugino的冷凝物。因此，扰动统一​​尺度下的轨距耦合${\mathrm{中号}}_X$通过非摄动维变换产生GUT对称性破坏VEV。这消除了对超电势中大（或任何）输入质量标度的需求。可以通过将成对的手性超场转换为$（\mathbf{问}（\mathrm{[R}），\overline{\mathbf{问}}（\overline{\mathrm{[R}}））$ 要么 $（\mathbf{\Sigma }（{（\mathrm{[R}\otimes \mathrm{[R}）}_{sÿ米米}）），\stackrel{〜}{\mathbf{\Sigma }}（{（\overline{\mathrm{[R}}\otimes \overline{\mathrm{[R}}）}_{sÿ米米}）$，形成三线性矩阵规范不变式 $\overline{问}\cdot \mathrm{\Phi }\cdot 问，\stackrel{〜}{\mathbf{\Sigma }}\cdot \mathrm{\Phi }\cdot \mathbf{\Sigma }$与Φ。新颖，坚固耐用，ultraminimal大统一的算法分析得出。我们以16针Spin（10）作为基本表示r来绘制逼真的Spin（10）模型的结构，该模型模仿了逼真的最小超对称GUT，但包含的自由参数更少。我们认为，我们的结果表明，渐进自由/ IR颜色限制和潜在驱动的自发对称性破坏的主导和规范范式有了很大的扩展，这些准则长期以来一直是规范的理论。