Legendre transformations and Clairaut-type equations

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 language	English
Pages (from-to)	188-193
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	756
DOIs	https://doi.org/10.1016/j.physletb.2016.03.019
Publication status	Published - 10 May 2016

Keywords

Clairaut-type equations
Composite fields
Effective action
Legendre transformations

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2016.03.019

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Lavrov, P. M., & Merzlikin, B. S. (2016). Legendre transformations and Clairaut-type equations. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 756, 188-193. https://doi.org/10.1016/j.physletb.2016.03.019

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