Scalar correlation functions for a double-well potential in de Sitter space

摘要: We use the spectral representation of stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with symmetric or asymmetric double-well potential. The terms expansion are determined by eigenvalues and eigenfunctions time-independent Fokker-Planck differential operator, we solve them numerically. long-distance asymptotic behaviour is given lowest state spectrum, but demonstrate that magnitude coeffients different can be very different, correlator dominated at distances. This give rise potentially observable cosmological signatures. In many cases dominant states do not correspond small fluctuations around minimum potential therefore visible perturbation theory. discuss physical interpretation these states, which present even when has only one minimum.