The authors show that perturbative quantum field theory may break down in curved spacetime with accelerated expansion. They consider lambda phi p-theory (p=3,4,5,. . .) with curvature coupling xi R phi 2 in de Sitter space and perturbatively evaluate the n-point function. They find the vertex integral over all spacetime points diverges for a certain range of the mass and curvature coupling. In particular, for lambda phi 4 theory with xi =0, the divergence arises for m2/H 2<or=27/16 where H-1 is the de Sitter radius. Then, they show that the same type of divergence arises quite generally in a spacetime with accelerated expansion. Since it is caused by unboundedly accelerated expansion of spacetime, they call it the superexpansionary divergence.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)