Complex Path Integrals and the Space of Theories
Complex Path Integrals and the Space of Theories
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复杂路径积分和理论空间
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
C. Pehlevan
中科院分区：
文献类型：
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作者：
D. Ferrante;G. Guralnik;Z. Guralnik;C. Pehlevan
费曼路径积分的扩展是为了捕捉量子场论的所有解。这是通过选择适当的积分周期来完成的，由SL（2，C）中的M参数化，即允许的积分周期的空间与某些dp膜及其性质有关，这些性质可以通过另一种理论的“物理状态”进一步理解。我们还研究了用梅林-巴恩斯变换表示的费曼路径积分，将理论的奇点结构带到了前台。这意味着，作为对路径的求和，我们应该考虑更多的一般路径，而不仅仅是布朗路径。最后，我们能够通过我们的例子来研究理论空间的量子相和相关的斯托克斯现象（过墙）。
The Feynman Path Integral is extended in order to capture all solutions of a quantum field theory. This is done via a choice of appropriate integration cycles, parametrized by M in SL(2,C), i.e., the space of allowed integration cycles is related to certain Dp-branes and their properties, which can be further understood in terms of the "physical states" of another theory. We also look into representations of the Feynman Path Integral in terms of a Mellin-Barnes transform, bringing the singularity structure of the theory to the foreground. This implies that, as a sum over paths, we should consider more generic paths than just Brownian ones. Finally, we are able to study the Space of Theories through our examples in terms of their Quantum Phases and associated Stokes' Phenomena (wall-crossing).