Legendre transformations and Clairaut-type equations

Peter M. Lavrov, Boris S. Merzlikin

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


It is noted that the Legendre transformations in the standard formulation of quantum field theory have the form of functional Clairaut-type equations. It is shown that in presence of composite fields the Clairaut-type form holds after loop corrections are taken into account. A new solution to the functional Clairaut-type equation appearing in field theories with composite fields is found.

Original languageEnglish
Pages (from-to)188-193
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 10 May 2016


  • Clairaut-type equations
  • Composite fields
  • Effective action
  • Legendre transformations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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