CAJ | 학술논문

鉴于量子场论中普遍存在的粒子产生和湮灭，把描述场量的独立变量个数从量子力学波函数的4个常规时空坐标推广到了5个，其中第5个独立变量对应为粒子的内禀固有时，但是粒子运动的背景还是4维的常规时空。在场函数中固有时之所以可以看作为独立于常规时空坐标的变量，不仅是量子物理所特有的概率性描述语言所允许的，而且有可能是描述量子场论中广泛存在的粒子产生和湮灭现象所必需的。与此对应，在量子场论中，引入了质量算符(?m=-i~??τ)。由此，自由费米场在推广到五维概率分布空间和引入质量算符的基础上，根据相互作用的规范原理，引入了矢量规范相互作用和标量规范相互作用，同时所有的基本粒子的质量项都由质量算符自然地呈现。在此物理图像下，原则上基本粒子的质量应该通过求解相互作用耦合下的质量算符的本征值得到。此外，理论中存在普遍耦合的标量规范场和质量算符天然地联系在一起，有可能和引力作用对应起来。
감우양자장론중보편존재적입자산생화인멸，파묘술장량적독립변량개수종양자역학파함수적4개상규시공좌표추엄도료5개，기중제5개독립변량대응위입자적내품고유시，단시입자운동적배경환시4유적상규시공。재장함수중고유시지소이가이간작위독립우상규시공좌표적변량，불부시양자물리소특유적개솔성묘술어언소윤허적，이차유가능시묘술양자장론중엄범존재적입자산생화인멸현상소필수적。여차대응，재양자장론중，인입료질량산부(?m=-i~??τ)。유차，자유비미장재추엄도오유개솔분포공간화인입질량산부적기출상，근거상호작용적규범원리，인입료시량규범상호작용화표량규범상호작용，동시소유적기본입자적질량항도유질량산부자연지정현。재차물리도상하，원칙상기본입자적질량응해통과구해상호작용우합하적질량산부적본정치득도。차외，이론중존재보편우합적표량규범장화질량산부천연지련계재일기，유가능화인력작용대응기래。
To investigate the mass generating problem without Higgs mechanism we present a model in which a new scalar gauge coupling is naturally introduced. Because of the existence of production and annihilation for particles in quantum field theory, we extend the number of independent variables from conventional four space-time dimensions to five ones in order to describe all degrees of freedom for field functions while the conventional space-time is still retained to be the background. The potential fifth variable is nothing but the proper time of particles. In response, a mass operator (?m=-i~ ??τ) should be introduced. After that, the lagrangian for free fermion fields in terms of five independent variables and mass operator is written down. By applying the gauge principle, three kinds of vector gauge couplings and one kind of scalar gauge coupling are naturally introduced. In the current scenario, the mass spectrum for all fundamental particles is accounted for in principle by solving the eigenvalue of mass operator under the function of all kinds of interactions. Moreover, there no any auxiliary mechanism including spontaneous symmetry breaking get involved in the model. Therefore, traditional problems in the standard model such as the vacuum energy problem are removed from our model, as well as the hierarchy problem on the mass spectrum for fundamental particles.