First results from simulations of supersymmetric lattices

First results from simulations of supersymmetric lattices
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超对称晶格模拟的第一个结果

DOI:
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发表时间:
2008
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影响因子:
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通讯作者:
S. Catterall
S. Catterall
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作者:
S. Catterall

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我们进行了第一次数值模拟的晶格理论与精确的超对称所产生的orbifold结构(1,2,3)。我们考虑D = 0,2维的Q = 4理论和D = 0,2,4维的Q = 16理论。我们证明了U(N)理论不具有非微扰稳定的真空,但在截断到SU(N)后,这个问题可以得到解决。我们测量了标量场本征值的分布,费米子算符的谱和费米子积分后产生的Pfiran的相位。我们通过测量一个简单的沃德恒等式来监测超对称破缺效应。我们的研究结果表明,N = 4的超级杨米尔斯的模拟可能在不久的将来实现。
We conduct the first numerical simulations of lattice theories with exact super- symmetry arising from the orbifold constructions of (1, 2, 3). We consider the Q = 4 theory in D = 0,2 dimensions and the Q = 16 theory in D = 0,2,4 dimensions. We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum of the fermion operator and the phase of the Pfaffian arising after integration over the fermions. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of N = 4 super Yang-Mills may be achievable in the near future.
DOI: 10.1088/1126-6708/2007/12/104
发表时间: 2007
影响因子: 5.4
作者:
Catterall S
通讯作者: Catterall S
晶格杨米尔斯理论模拟的黑洞热力学
DOI: 10.1103/physrevd.78.041502
发表时间: 2008
期刊: Physical Review D
影响因子: 5
作者:
Catterall S
通讯作者: Catterall S