Is vacuum energy really identical to the cosmological constant?

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SUMMARY

The discussion centers on the distinction between vacuum energy and the cosmological constant (CC) in the context of Einstein's theories. It asserts that the effective cosmological constant should be viewed as the sum of quantum field theory (QFT) vacuum energy and Einstein's arbitrary CC. The argument emphasizes that equating these two concepts is erroneous, as the CC may represent a constant in the gravity/geometry sector, akin to the Newtonian constant G, rather than being directly linked to dark energy (DE) in the matter-radiation sector.

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  • Understanding of Einstein's cosmological constant
  • Familiarity with quantum field theory (QFT)
  • Knowledge of dark energy (DE) concepts
  • Basic grasp of Einstein's field equations
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petergreat
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When Einstein proposed the cosmological constant, it was regarded as an arbitrary constant having no connection with flat-spacetime physics (e.g. QFT to be invented later). IMHO the effective cosmological constant, in principle, should be the sum of QFT vacuum energy and Einstein's arbitrary cosmological constant. However, why is it the case that everyone equates the two concepts?
 
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petergreat said:
However, why is it the case that everyone equates the two concepts?

I think it is a mistake to equate them. For arguments to that effect see
http://arxiv.org/abs/1002.3966
 
The cc as a part of the gravity / geometry sector need not be identical with DE as a part of the matter-radiation-sector. The cc could very well be a constant (simply a constant) of the gravity / geometry sector, just like the Newtonian constant G. Looking at the Einstein equations whether you put Lambda on the left (gravity) or on the right (matter) side is arbitrary. W/o a microscopic theory which explains what the cc in terms of (quantum) gravity IS or what the DE really IS one must not identify them; it could very well be that it receives contributions both from a bare constant of the gravitational sector AND from radiative corrections of the matter sector.
 

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