Bubble Nucleation and Eternal Inflation - cosmo 06


Bubble Nucleation and Eternal Inflation - cosmo 06

to the hypersurface indicated in the conformal diagram. The

x(s = 0) = x 0 (7)

t) instanton, like the


one found in the absence

Vacuum Bubbles

(s h faster = s max decay, ) = 0 so that


his hypersurface specify the initial conditions for the lorentzian

E ≃ u

the decay T,F (9)


rate as


V F → 0.

indicated by the line with an arrow. Depending

V (φ) (10)

hat while

phase, this process describes the nucleation of a true or false

] are corstead

The 5we

zeros of xρ H

continue into the forward light cones indicated

itioned by

Lee and Weinberg 1987


Can we tunnel up


where the x F

x T

L(ee)W(einberg) Bubbles

as argued

R is the

false vache


Figure 1: The potential V (φ), φ with


the true vacuum x T , false vacuum

x F and the “Hawking-Moss”


But, not the only way to make False Vacuum...

point x H labeled. ∫

by Colel

limit and subsequently discussed by several

S I = −

stanton formalism, give approximate analytic

f the instanton solutions in the limit where

rical techniques.


After elucidating the actual

ue in Sec. 5 that BG = −

the Great Divide consists

the V F → 0 limit, have static domain walls

∫ ∫

e stationary points of the potential 3 ; we also

σ = i

action becomes infinite, requiring an infinite instanton


ve discovered this fact independently [2].

vetic et. al. on singular domain walls and their relation

dtp ˙q = i

Ψ 1

= e−σ 1/¯h

d 4 x √ gV (φ(x)) (12)

d 4 x √ gV (φ(x turnpt )) (13)

dt [L E − L turnpt ] (14)

= e −S E/¯h


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