Supersymmetric Yang-Mills theory on the lattice with domain wall fermions

Supersymmetric Yang-Mills theory on the lattice with domain wall fermions
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磁畴壁费米子晶格的超对称杨-米尔斯理论

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
P. Vranas
P. Vranas
中科院分区:
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文献类型:
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作者:
G. Fleming;J. Kogut;P. Vranas

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利用一种新的晶格费米子调节器——畴壁费米子,在晶格上研究了动力学N=1、SU(2) Super Yang-Mills理论。该公式即使在非零晶格间距下也不需要微调,具有改进的手性特性并且可以产生拓扑零模式现象。对具有环面拓扑的晶格完整理论的数值模拟表明,形成了维持在手性极限的葡萄糖凝聚态。即使对于小体积和小的超对称破断质量,凝聚体也是非零的,其中由于具有分数拓扑电荷的规范场而产生的零模式效应似乎发挥了作用。
The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral properties and can produce topological zero-mode phenomena. Numerical simulations of the full theory on lattices with the topology of a torus indicate the formation of a gluino condensate which is sustained at the chiral limit. The condensate is non-zero even for small volume and small supersymmetry breaking mass where zero mode effects due to gauge fields with fractional topological charge appear to play a role.