来自量子引力修正费曼传播子的时空度量

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
P. Fernández de Córdoba, J. M. Isidro, Rudranil Roy
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引用次数: 0

摘要

将标量费曼传播子与时空坐标微分,就可以得到标量粒子在其中传播的背景时空的度量。现在,可以对费曼传播子进行修改,以便包含零点长度 L>0 所引起的量子引力修正。这些修正会导致费曼传播子中的长度元素 s2 被替换为 s2+4L2。在本文中,我们计算了无量子引力传播子及其量子引力修正传播子的度量。我们在欧几里得扇区的背景时空ℝD 的情况下进行了这一分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spacetime metric from quantum-gravity corrected Feynman propagators

Differentiation of the scalar Feynman propagator with respect to the spacetime coordinates yields the metric on the background spacetime that the scalar particle propagates in. Now Feynman propagators can be modified in order to include quantum-gravity corrections as induced by a zero-point length L>0. These corrections cause the length element s2 to be replaced with s2+4L2 within the Feynman propagator. In this paper, we compute the metrics derived from both the quantum-gravity free propagators and from their quantum-gravity corrected counterparts. We verify that the latter propagators yield the same spacetime metrics as the former, provided one measures distances greater than the quantum of length L. We perform this analysis in the case of the background spacetime D in the Euclidean sector.

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来源期刊
CiteScore
3.40
自引率
22.20%
发文量
274
审稿时长
6 months
期刊介绍: This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE''s and PDE''s and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.
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