Legendre transformations and Clairaut-type equations
High Energy Physics - Theory
2016-03-16 v1 Mathematical Physics
math.MP
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.
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Cite
@article{arxiv.1602.04911,
title = {Legendre transformations and Clairaut-type equations},
author = {Peter M. Lavrov and Boris S. Merzlikin},
journal= {arXiv preprint arXiv:1602.04911},
year = {2016}
}
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13 pages