Legendre transformations and Clairaut-type equations

Peter M. Lavrov, Boris S. Merzlikin

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume756
DOIs
Publication statusPublished - 10 May 2016

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Legendre functions
composite materials
formulations

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Legendre transformations and Clairaut-type equations. / Lavrov, Peter M.; Merzlikin, Boris S.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 756, 10.05.2016, p. 188-193.

Research output: Contribution to journalArticle

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