论文标题
大透明透射:通过konsishi异常凝结,维trans变和超肠道
Grand Pleromal Transmutation : condensates via Konsishi anomaly, dimensional transmutation and ultraminimal GUTs
论文作者
论文摘要
使用一致性要求,与所谓的广义konishi异常相关的手性凝结,我们表明,通过仪表凝结{\ emph {\ emph {in ultraviolet}}的尺寸trans变驱动器,以驱动器的对称性驱动在一大批{\ emph {\ empph {amymptyly上强烈}}超级yand yand yand yand yang yang hig hig hig hig hig hig hig hig hig gig对于伴随多重类型的手性超级场景$φ$(以$ r \ times \ bar r $的形式转换为非Abelian gerguge g组的表示),对广义的konishi Anomaly(GKA)方程的解决方案允许计算量子校正的VEV的VEV,以尺寸传输量表$λ______________________________________________{ e^{\ frac {8π^2} {g^2(m_x)b_0}} $确定仪表式冷凝水。因此,在扰动统一量表上的量规耦合$ m_x $会通过非扰动维度trans变成肠道对称性破坏VEV。这消除了超电势中大(或任何)输入质量尺度的需求。 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})$,该表格三联矩阵量规$ \ bar q \cdotφ\ cdot q,\ sigb \ cdotφ\ cdot \ cdot \ cdot \ sig $ at $φ$。新颖,健壮和{\ emph {ultraminimal}}大统一算法从分析中出现。我们绘制了逼真的自旋(10)型号的结构,其中$ 16 $ spin(10)作为基本表示$ r $,它模仿了现实的最小超对称性肠,但包含更少的自由参数。我们认为,我们的结果表明,渐近自由的主导和规范性范式的大幅度扩展,$/$ ir颜色限制和潜在驱动的自发对称性破坏长期以来一直统治了规格的理论。
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.