Response of strongly interacting matter to a magnetic field: Some exact results

Response of strongly interacting matter to a magnetic field: Some exact results
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DOI:
10.1103/physrevd.73.045006
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发表时间:
2005-10
期刊:
影响因子:
5
通讯作者:
G. Newman;D. Son
G. Newman;D. Son
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
G. Newman;D. Son

文献摘要

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我们得到了一些关于强相互作用物质对外磁场响应的精确结果。我们的结果来自于对介质中三角形异常的考虑。首先,我们定义了一个“轴向磁化率”,然后我们通过响应理论研究了它在双味QCD中的行为。在手征恢复阶段,这个数量是成比例的费米子化学势,而在手征对称性破缺的阶段,它可以通过三角形异常,在介质中的振幅{pi}{sup 0}{yields}2{gamma}。我们确认后一个结果通过计算在线性西格玛模型,这个幅度是已知的文献。
We derive some exact results concerning the response of strongly interacting matter to external magnetic fields. Our results come from consideration of triangle anomalies in medium. First, we define an 'axial magnetic susceptibility', then we examine its behavior in two-flavor QCD via response theory. In the chirally restored phase, this quantity is proportional to the fermion chemical potential, while in the phase of broken chiral symmetry it can be related, through triangle anomalies, to an in-medium amplitude for {pi}{sup 0}{yields}2{gamma}. We confirm the latter result by calculation in a linear sigma model, where this amplitude is already known in the literature.