Paper detail

Non-local partner to the cosmological constant

I show that quantum corrections due to a massive particle generates a non-local term in the gravitational effective action which is of zeroth order in the derivative expansion, much like the cosmological constant. It carries a fixed coefficient which is very much larger than the cosmological constant, and which cannot be fine-tuned. The interaction is active at scales above the particle&#39;s mass. This is of the form $m^4 (\frac1{\Box}R)_x &#34;<x|\log (\Box +m^2 )|y >&#34; (\frac1{\Box}R)_y$, and I discuss the meaning of $ &#34;<x|\log (\Box +m^2) |y >&#34; $ and other aspects of its interpretation.