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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title = "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.",

keywords = "Clairaut-type equations, Composite fields, Effective action, Legendre transformations",

author = "Lavrov, {Peter M.} and Merzlikin, {Boris S.}",

year = "2016",

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doi = "10.1016/j.physletb.2016.03.019",

language = "English",

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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

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T1 - Legendre transformations and Clairaut-type equations

AU - Lavrov, Peter M.

AU - Merzlikin, Boris S.

PY - 2016/5/10

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N2 - 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.

AB - 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.

KW - Clairaut-type equations

KW - Composite fields

KW - Effective action

KW - Legendre transformations

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693