Manuscript Hawk01-A@1 · Hawk01-A.tex · assumption · 11979653

Assumption: Stationary Unruh boundary prescription

The four-dimensional semiclassical source › Geometry, field, and boundary state · lines 224–238

Hawk01-A@1#ass:unruh, Hawk01-A@1#eq:affine

Incoming modes from past null infinity are in their vacuum. The outgoing horizon sector is the affine-vacuum sector whose current two-point distribution in affine coordinate $U$ is

- \frac{1}{4 π ( U - U ^{'} - i 0 ) ^{2}} .

On that sector the affine/Killing relation is

U (u) = - κ^{- 1} e^{- κ u} .

The state is quasifree and has zero one-point function.

Displayed formulas in this passage

Hawk01-A@1#eq:affine · line 233
$U (u) = - κ^{- 1} e^{- κ u} .$
unlabeled · line 229
$- \frac{1}{4 π ( U - U ^{'} - i 0 ) ^{2}} .$

Nearby in this section

section: Geometry, field, and boundary state
section: Geometry, field, and boundary state
lemma: Lemma: Horizon current and occupation
theorem: Theorem: Normalized scalar Hawking source
remark: Remark: What the source theorem does not establish