0409250 (ChiYi Chen)

Mass Operator and Five-dimensional Gauge Field Theory    [PDF]

ChiYi Chen

Owing to the existence of production and annihilation of particles in quantum field theory, we extend the number of independent coordinates from four conventional space-time dimensions to five for completely describing field functions. Here the fifth coordinate is just the proper time of particles. In response, we introduce a mass operator $(\hat{m}=i\hbar \frac{\partial}{\partial\tau})$ in quantum field theory. After that, we write down the lagrangian of free fermion fields in terms of five-dimensional coordinates and mass operator. Then three kinds of vector gauge couplings and one kind of scalar gauge coupling are naturally introduced by applying the gauge principle. In this scenario, the mass spectrum of all fundamental particles can be interpreted in principle by solving the eigenvalue of mass operator under the function of all kinds of interactions. There is no any other auxiliary mechanism including spontaneous symmetry breaking get involved. Therefore, traditional problems in standard model such as the vacuum energy problem are removed from our model, as well as the hierarchy problem on the mass of fundamental particles.

View original: http://arxiv.org/abs/0409250