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Grand pleromal transmutation: UV condensates via Konishi anomaly, dimensional transmutation and ultraminimal GUTs

机译:大型术语嬗变:紫外线凝聚物通过Konishi异常,尺寸嬗变和超模胆

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Using consistency requirements relating chiral condensates imposed by the so called Generalized Konishi Anomaly, we show that dimensional transmutation via gaugino condensationin the ultravioletdrives gauge symmetry breaking in a large class ofasymptotically strongSuper Yang Mills Higgs theories. For Adjoint multiplet type chiral superfields Φ (transforming asr×rˉrepresentations 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 scaleΛUV?MXe8π2g2(MX)b0which determines the gaugino condensate. Thus the gauge coupling at the perturbative unification scaleMXgenerates 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(Q(r),Qˉ(rˉ))or(Σ((r?r)symm)),Σ ̄((rˉ?rˉ)symm), that form trilinear matrix gauge invariantsQˉ?Φ?Q,Σ ̄?Φ?Σwith Φ. Novel, robust andultraminimalGrand 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 representationr, 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.
机译:利用所谓的通用Konishi异常施加的手性凝聚物的一致性要求,我们展示了通过Gaugino凝结蛋白的尺寸嬗变,紫外线仪表对称在大型的大类强度杨米尔斯Higgs理论中脱颖而出。对于伴随多功能型手性超字段φ(变换ASR×RˉREPRUSENTAINTATIONS的非中庸型组G),广义KONISHI异常(GKA)方程的解决方案允许计算尺寸嬗变刻度λuvΔuvΔuv≤uvΔuvΔuvΔuvΔb0的量子校正的VEV确定Gaugino凝结物。因此,通过非扰动维度嬗变,在扰动统一SCALEMXGENELATES中肠道对称耦合耦合。这消除了超级势的大(或任何)输入质量尺度的需求。通过包括变换为(q(r),q∈))或(σ((r≤r)symm)),σ((rˉ≤rˉ)symm),可以实现等级形式三线性矩阵仪Invariantsq‖?φ≤q,σ¯φφ≤jwithφ。新颖的,鲁棒andultraminimalgrand统一算法从分析中出现。我们绘制了现实旋转(10)模型的结构,用16层的旋转(10)作为基础表示,模拟现实的最小超对对称肠,但含有较少的自由参数。我们认为,我们的结果指出了渐近自由/红外彩色监禁的主导和规范范式的大大延伸,并且具有长裁定量理论的潜在驱动的自发对称。

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