The first-order Euler-Lagrange equations and some of their uses

The first-order Euler-Lagrange equations and some of their uses

A bstract In many nonlinear field theories, relevant solutions may be found by reducing the order of the original Euler-Lagrange equations, e.g., to first order equations (Bogomolnyi equations, self-duality equations, etc.). Here we generalise, further develop and apply one particular method for the...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2016; no. 12; pp. 1 - 32
Main Authors: Adam, C., Santamaria, F.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2016
Springer Nature B.V
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Euler-Lagrange equation
Field theory
High energy physics
Mathematical analysis
Nonlinearity
Order reduction
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Field Theories in Lower Dimensions
Integrable Field Theories
Solitons Monopoles and Instantons
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Summary:A bstract In many nonlinear field theories, relevant solutions may be found by reducing the order of the original Euler-Lagrange equations, e.g., to first order equations (Bogomolnyi equations, self-duality equations, etc.). Here we generalise, further develop and apply one particular method for the order reduction of nonlinear field equations which, despite its systematic and versatile character, is not widely known.
Bibliography:ObjectType-Article-1
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content type line 23
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2016)047