A comment on boundary conditions of bosonic Lagrange multipliers at finite temperature

Thomaz M., Ipekoǧlu Y.

European Journal of Physics, vol.17, no.2, pp.82-84, 1996 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Review
  • Volume: 17 Issue: 2
  • Publication Date: 1996
  • Doi Number: 10.1088/0143-0807/17/2/008
  • Journal Name: European Journal of Physics
  • Journal Indexes: Scopus
  • Page Numbers: pp.82-84


The partition function defined in the usual way is a gauge-dependent quantity. However, the ansatz of Bernard and Gross et al leaves it gauge invariant. We use this ansatz for the partition function to show that Lagrange multipliers (non-physical bosonic fields) are not restricted to satisfying any boundary conditions in the path integral at finite temperature. We take a quantum mechanical model to illustrate that boundary conditions satisfied by non-physical fields depend on the choice of 'gauge'.