正弦-戈登背景下通过转移算子获得的卡西米尔能量

IF 3.5 4区物理与天体物理 Q1 Physics and Astronomy

Progress of Theoretical and Experimental Physics Pub Date : 2024-04-18 DOI:10.1093/ptep/ptae059

Lucía Santamaría-Sanz

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引用次数: 0

摘要

通过 TGTG 公式（由 O. Kenneth 和 I. Klich 在散射方法中开发）的扩展，研究了一对由狄拉克三角势及其一阶导数表示的半透明二维板之间的量子真空相互作用能，该相互作用能嵌入正弦-戈登扭结的拓扑背景中。正弦-戈登扭结解周围的量子真空振荡被解释为域壁时空中的量子标量场理论。此外，我们还利用相移与状态密度之间的关系（著名的达申-哈斯拉赫-奈维乌公式）来描述量子真空能量。

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Casimir energy through transfer operators for sine-Gordon backgrounds

The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen-Hasslacher-Neveu formula) is also exploited to characterize the quantum vacuum energy.

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来源期刊

Progress of Theoretical and Experimental Physics PHYSICS, MULTIDISCIPLINARY-PHYSICS, PARTICLES & FIELDS

CiteScore

12.00

自引率

5.70%

发文量

148

审稿时长

17 weeks

期刊介绍： Progress of Theoretical and Experimental Physics (PTEP) is an international journal that publishes articles on theoretical and experimental physics. PTEP is a fully open access, online-only journal published by the Physical Society of Japan. PTEP is the successor to Progress of Theoretical Physics (PTP), which terminated in December 2012 and merged into PTEP in January 2013. PTP was founded in 1946 by Hideki Yukawa, the first Japanese Nobel Laureate. PTEP, the successor journal to PTP, has a broader scope than that of PTP covering both theoretical and experimental physics. PTEP mainly covers areas including particles and fields, nuclear physics, astrophysics and cosmology, beam physics and instrumentation, and general and mathematical physics.