Information measures for fermion localization in f ( T , B ...

IF 3.7 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Classical and Quantum Gravity Pub Date : 2025-03-27 DOI:10.1088/1361-6382/adc06d
Allan R P Moreira, Shi-Hai Dong and Emmanuel N Saridakis
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Abstract

We investigate the dynamics of fermion localization within the framework of gravity featuring non-minimal couplings. Starting from the Dirac action for a spin- fermion in a five-dimensional spacetime governed by torsional gravity, we derive the Dirac equation and we explore its solutions under various non-minimal coupling functions. We examine two realistic forms of the torsional non-minimal coupling and reveal distinct behaviors that impact the localization of both massless and massive fermionic modes on the brane. Additionally, we employ probabilistic measurements, including Shannon entropy theory, Fisher information theory, and relative probability, to analyze the localization of these fermionic modes. The observed effects offer potential insights into probing torsional modifications.
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f (T, B…)中费米子定位的信息测度
我们研究了非极小耦合引力框架下费米子局域化的动力学。从扭转引力作用下五维时空中自旋费米子的狄拉克作用出发,推导了狄拉克方程,并探讨了它在各种非极小耦合函数下的解。我们研究了两种实际形式的扭转非极小耦合,并揭示了影响膜上无质量和有质量费米子模式局域化的不同行为。此外,我们采用概率测量,包括香农熵理论,费舍尔信息理论和相对概率,来分析这些费米子模式的局域化。观察到的效应为探测扭转变形提供了潜在的见解。
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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