Lorentz Invariance, Vacuum Energy, and Cosmology

1
Lorentz Invariance, Vacuum Energy, and Cosmology
2
Introduction

• Cosmological constant ? was interpreted as a
  possibly dynamic vacuum energy density
• Three problems

3
Lorentz Invariance (LI)

• Search of Lorentz-violating effects?all
  parameters vanish

4
Vacuum Energy

• Static of dark energy in the guise of vacuum
  energy.Perfect LI quantum vacuum in
  equilibrium.Thermodynamics, charge
  conservation.Pressure equilibrium.
• Ground state is Lorentz noninvariant

5
(No Transcript)
6
Cosmology

• Vacuum energy in Hubbles expending
  universe.Exchange of energy between deep vacuum
  and low-energy degrees of freedom.
• Two approaches1.starting far away from
  equilibrium in very early phase of universe.

7

• 2.starting from a postulated equilibrium
  state at very late
  times.

8
Vacuum Dynamics

• Solve the field equation in the context of a flat
  Friedmann-Robertson-Walker universe.

9
Closed-Universe Model

• Solve the Einstein equation of closed FRW
  universe for time running in the negative
  direction with pressureless matter (CDM) and
  vacuum energy density governed by