Quantum effective potential from discarded degrees of freedom

Luke M. Butcher

Research output: Contribution to journalArticlepeer-review


I obtain the quantum correction ΔVeff=(ħ2/8m)[(1−4ξ[Formula presented])(S)2+2(1−4ξ)S] that appears in the effective potential whenever a compact d-dimensional subspace (of volume ∝exp⁡[S(x)]) is discarded from the configuration space of a nonrelativistic particle of mass m and curvature coupling parameter ξ. This correction gives rise to a force −〈ΔVeff 〉 that pushes the expectation value 〈x〉 off its classical trajectory. Because ΔVeff does not depend on the details of the discarded subspace, these results constitute a generic model of the quantum effect of discarded variables with maximum entropy/information capacity S(x).

Original languageEnglish
Pages (from-to)2555-2560
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number36
Early online date14 Jun 2018
Publication statusPublished - 14 Sep 2018


  • Curved configuration space
  • Discarded variables
  • Information capacity
  • Quantum corrections


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