Detector Response to Gravitational Wave Polarizations in Gravitational Quantum Field Theory

We present an analysis of gravitational wave polarization modes within Gravitational Quantum Field Theory (GQFT), a unified theoretical framework reconciling general relativity and quantum field theory. In the six fundamental polarization: two tensors ($+, \times$), two vectors (x, y), and two scalars (breathing, longitudial) modes of gravitational wave, two tensors and breathing are favored by GQFT. Their distinctive detection signatures in space-based interferometers like LISA and Taiji can be verified. Using first-order orbital dynamics in the Solar System Barycenter frame, we identify three novel observational features: (1) characteristic interference patterns between polarization modes, (2) provide a model-independent response function, and (3) sky-position-dependent optimal detection methods. Our approach provides complete sky coverage through polarization mapping while remaining fully compatible with existing mission designs, notably avoiding the need for challenging direct breathing-mode measurements. The results are presented through comprehensive sky maps, offering both theoretical insights into gravitational wave polarization and practical tools for future detectors. This work establishes a new paradigm for testing fundamental gravity theories through their unique polarization fingerprints