Vacuum energy and Casimir effect

introduction

• quantum jitters or quantum fluctuation

 

 

vacuum energy

• ground state energy
• vacuum state energy
• zero point energy

 

 

QFT and the vacuum amplitude

• In QFT, there is a way to relate the vacuum energy density with the vacuum amplitutde.
• QFT provides ways to compute the vacuum amplitude.
• Sometimes it is related to the zeta values.

 

Vacuum energy density

• We can measure the Vacuum energy density by cosmological microwave background.

• a non-zero vacuum energy is expected to contribute to the cosmological constant, which affects the expansion of the universe.

• Casimir effect
• central charge

related items

• cosmological constant
• Central charge and dilogarithm

articles

• Huang, An, 2009 On Twisted Virasoro Operators and Number Theory