An extended non-local field equations characterised by modified dispersion relations have been constructed based on non-local differential and hyperdifferential quantum operators. The dispersion relations obtained are found to be comparable to those obtained within the framework of unified theories and the covariant Kempf–Mangano algebra but free from tachyons. For the case of neutral meson, the upper limit of the characteristic length scale was found to be very close to the nuclear radius obtained from the study of \(\beta ^{+} \)-decay energy from finite-sized nuclei.

中文翻译：

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不受快子影响的量子场论中的非局域超微分动量算符：中性介子的情况

基于非局域微分和超微分量子算子，构造了以修正色散关系为特征的扩展非局域场方程。发现所获得的色散关系与在统一理论和协变 Kempf-Mangano 代数框架内获得的色散关系相当，但不受快子的影响。对于中性介子的情况，发现特征长度尺度的上限非常接近通过研究有限尺寸 原子核的\(\beta ^{+} \)衰变能而获得的核半径。