  We construct a G-Gaussian random field parametrized by Hilbert space, which
contains G-white noise as a special case. Using orthonormal expansion, we're
able to study the distribution of this random field. Furthermore, we study
G-spatial and G-spacetime white noise, infinite dimensional G-Brownian Motion
and their respective stochastic integrals. Based on G-white noise analysis and
Parisi-Wu's stochastic quantization, we generalize the scalar free field model
to stochastic partial differential equations (SPDEs) driven by G-Gaussian
random fields.
