Vacuum Energies of String Compactified on Torus
Vacuum Energies of String Compactified on Torus
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环面压紧弦的真空能
DOI：
10.1143/ptp.75.692
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发表时间：
1986
影响因子：
--
通讯作者：
I. Senda
中科院分区：
文献类型：
--
作者：
N. Sakai;I. Senda
尝试计算在不同环面上紧化的闭玻色子弦的单环真空能量。给出了单回路真空能量的模不变性。发散速子的贡献迫使我们采用减法处方。对于一维环面，SU(2)×SU(2)的仿射Kac-Moody代数是在真空能量的绝对最小值下实现的。对于一般的r维环面，发现[SU(2)×SU(2)]^r的代数是一个不稳定的鞍点。对r=2情况的详细研究表明，SU(3)×SU(3)的真空能最低。
Computation of the one-loop vacuum energy is attempted for closed bosonic string compactified on various tori. Modular invariance of the one-loop vacuum energy is shown. The divergent tachyon contribution forces us to employ a subtraction prescription. For one-dimensional torus, the affine Kac-Moody algebra for SU(2)×SU(2) is realized at the absolute minimum of the vacuum energy. For general r-dimensional torus, the algebra for [SU(2)×SU(2)]^r is found to be an unstable saddle point. A detailed study of r=2 case shows that SU(3)×SU(3) has the lowest vacuum energy.