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FRACTIONAL FIELD THEORY AND HIGH-ENERGY PHYSICS: NEW DEVELOPMENTS

机译:分数场理论与高能物理:新进展

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摘要

During the last decade, a number of important developments have surfaced concerning fractional calculus and its applications in various branches of fundamental and applied science. In particular, fractional field theory (FFT) represents an active area of research in mathematical physics whose motivation stems, in part, from its ability to shed light on many of open questions surrounding Quantum Field Theory (QFT), Standard Model for particle physics (SM) and Quantum Gravity Theories (QG). We review here some recent developments of FFT that promise to recover the physics of SM in the low-energy limit and solve some of its seemingly intractable puzzles.
机译:在过去的十年中,关于分数演算及其在基础科学和应用科学的各个分支中的应用,出现了许多重要的发展。尤其是,分数场理论(FFT)代表了数学物理学领域的一个活跃研究领域,其动机部分来自于阐明围绕量子场论(QFT),粒子物理学标准模型(QFT)的许多悬而未决问题的能力( SM)和量子引力理论(QG)。我们在这里回顾了FFT的一些最新进展,这些进展有望在低能量极限中恢复SM的物理特性,并解决了一些看似棘手的难题。

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