Reconstructing configurational Hamiltonians from Fock space

IF 2.8 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2025-09-14 DOI:10.1016/j.nuclphysb.2025.117119

Davood Momeni

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引用次数: 0

Abstract

We present a unified operator-based framework for reconstructing configuration-space Hamiltonians directly from their Fock-space formulations. This approach clarifies how local dynamics and geometric structure emerge from global quantum operator algebras. Beginning with elementary systems such as the harmonic oscillator, we extend the method to scalar and vector fields in both flat and curved spacetimes. By systematically inverting creation and annihilation operators, we recover local expressions involving canonical fields and their conjugate momenta. Applications include free and interacting scalar fields, Abelian and non-Abelian gauge theories, and massless spin-2 graviton modes. We further explore the Sachdev-Ye-Kitaev (SYK) and double-scaled SYK models, showing how bilocal collective fields and emergent infrared geometries arise from quartic Fock-space interactions. This reconstruction framework reveals a deep structural unity across quantum mechanics, field theory, gauge dynamics, and holography, and opens new avenues for studying locality, emergent geometry, and duality in quantum systems.

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从Fock空间重构构型哈密顿

我们提出了一个统一的基于算子的框架，用于直接从fok空间公式重建构型空间哈密顿量。这种方法阐明了局部动力学和几何结构是如何从全局量子算子代数中产生的。从诸如谐振子之类的初等系统开始，我们将该方法推广到平坦时空和弯曲时空中的标量场和向量场。通过系统地反转创造算子和湮灭算子，我们恢复了包含正则场及其共轭动量的局部表达式。应用包括自由和相互作用标量场，阿贝尔和非阿贝尔规范理论，以及无质量自旋-2引力子模式。我们进一步探索了Sachdev-Ye-Kitaev （SYK）和双尺度SYK模型，展示了四次fock空间相互作用如何产生双局部集体场和涌现红外几何形状。这一重构框架揭示了量子力学、场论、规范动力学和全息学之间的深层结构统一，为研究量子系统中的局部性、涌现几何和对偶性开辟了新的途径。

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.