E. T. Akhmedov, F. K. Popov, V. M. Slepukhin
We study massive real scalar $\phi^4$ theory in the expanding Poincare patch of de Sitter space. We calculate the leading two loop infrared contribution to the two-point function in this theory. We do that for the massive fields both from the principal and complementary series. For the principal series we derive the kinetic equation from the Dyson-Schwinger one, which allows us to sum up the leading infrared contributions from all loops. We find two peculiar solution of the kinetic equation. One of them describes stationary Gibbons-Hawking type distribution for the density per comoving volume. Another solution shows explosive (pole like in finite proper time) growth of the particle number density per comoving volume. That signals the possibility of the destruction of the expanding Poincare patch even by the massive fields. We conclude with the consideration of the infrared divergences in global de Sitter space and in its contracting Poincare patch.
View original:
http://arxiv.org/abs/1303.1068
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