Vacuum Energy

  • Dmitri Fursaev
  • Dmitri Vassilevich
Part of the Theoretical and Mathematical Physics book series (TMP)


In this Chapter calculations of the vacuum energy in various physical systems are considered. The first example is the celebrated Casimir effect which is an interaction of parallel conducting plates in vacuum. Then, the method of evaluating the vacuum energy through the scattering data of the problem is introduced. With the help of this method, the zero-point energy of the kink soliton in ϕ 4 theory in two dimensions is calculated. The last section treats supersymmetric models. In particular, the mass shift of supersymmetric solitons in 1+1 dimensions is calculated and related to the central charge anomaly. Contrary to naive expectations, this mass shift is non-zero.


Quantum Correction Vacuum Energy Mass Shift Quantum Fluctuation Casimir Force 
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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Dubna International UniversityDubnaRussia
  2. 2.CMCCUniversidade Federal do ABCSanto AndreBrazil

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