arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0802.4401hep-thgr-qc
收藏

存在磁通量的高维宇宙弦时空中的旋量格林函数

Spinor Green function in higher-dimensional cosmic string space-time in the presence of magnetic flux

J. Spinelly, E. R. Bezerra de Mello

摘要:

本文研究了广义$(d+1)-$维宇宙弦时空中存在磁通量时量子费米子荷电场的真空极化效应。为了发展这种分析,我们计算相应的格林函数的一般表达式,有效的几个不同的值的$d$,这是表示在一个双旋量与平方的狄拉克运营商。采用这个结果,我们明确地计算了与无质量场相关的能量动量张量$<T^A_B>_{Ren.}$的重整化真空期望值。此外,对于宇宙弦和磁通量与量子量之比的分数部分的参数的特定值,我们能够以封闭形式给出大质量场的双旋量和相应的格林函数。

英文摘要:

In this paper we investigate the vacuum polarization effects associated with quantum fermionic charged fields in a generalized $(d+1)-$dimensional cosmic string space-times considering the presence of a magnetic flux along the string. In order to develop this analysis we calculate a general expression for the respective Green function, valid for several different values of $d$, which is expressed in terms of a bispinor associated with the square of the Dirac operator. Adopting this result, we explicitly calculate the renormalized vacuum expectation values of the energy-momentum tensors, $<T^A_B>_{Ren.}$, associated with massless fields. Moreover, for specific values of the parameters which codify the cosmic string and the fractional part of the ratio of the magnetic flux by the quantum one, we were able to present in closed forms the bispinor and the respective Green function for massive fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑