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arXiv 2303.04039hep-thgr-qc
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量子有效势的观察者依赖性

On the Observer Dependence of the Quantum Effective Potential

Mandelstam Institute for Theoretical Physics, University of Witwatersrand(威特沃特斯兰德大学曼德尔斯坦理论物理研究所);BITS- Pilani Hyderabad Campus(印度理工学院海德拉巴校区)

Pallab Basu, Haridev S R, Prasant Samantray

AI总结:

本文研究了量子有效势的观察者依赖性,通过林德勒空间的分析,探讨了重整化后有效势的有限性及对称性恢复机制。

摘要:

在本文中,我们研究了观察者依赖性对相互作用场论中量子有效势后果的影响。专门针对$d+2$维欧几里得林德勒空间,我们发展了计算有效势的正式程序。尽管由于林德勒 horizon的存在,自由能发散,但有效势作为空间的局部函数,在必要的重整化程序后是有限的。我们将该形式化结果应用于理解三维和四维中自发破缺的$\mathbb{Z}_2$对称性的恢复。

英文摘要:

In this short paper, we investigate the consequences of observer dependence of the quantum effective potential for an interacting field theory. Specializing to $d+2$ dimensional Euclidean Rindler space, we develop the formalism to calculate the effective potential. While the free energy diverges due to the presence of the Rindler horizon, the effective potential, which is a local function of space, is finite after the necessary renormalization procedure. We apply the results of our formalism to understand the restoration of spontaneously broken $\mathbb{Z}_2$ symmetry in three and four dimensions.

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。

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