On the geometric structure of classical field theory in Lagrangian formulation

1970 ◽  
Vol 68 (2) ◽  
pp. 475-484 ◽  
Author(s):  
Jędrzej Śniatycki
Keyword(s):  
Field Theory ◽  
Conservation Laws ◽  
Geometric Structure ◽  
Classical Field Theory ◽  
Higher Order ◽  
Classical Field ◽  
Lagrangian Formulation ◽  
Symmetry Transformations

AbstractGeometric structure of classical field theory in Lagrangian formulation is investigated. Symmetry transformations with generators depending on higher-order derivatives are considered and the corresponding conservation laws are obtained.

scholarly journals Asymptotic Conservation Laws in Classical Field Theory

1996 ◽  
Vol 77 (20) ◽  
pp. 4109-4113 ◽  
Author(s):  
Ian M. Anderson ◽  
Charles G. Torre
Keyword(s):  
Field Theory ◽  
Conservation Laws ◽  
Classical Field Theory ◽  
Classical Field

scholarly journals Fractional formulation of Podolsky Lagrangian density

2022 ◽  
Vol 9 (2) ◽  
pp. 136-141
Author(s):  
Amer D. Al-Oqali ◽  
Keyword(s):  
Field Theory ◽  
Stress Tensor ◽  
Fractional Derivatives ◽  
Lagrangian Density ◽  
Lagrange Equation ◽  
Equations Of Motion ◽  
Classical Field Theory ◽  
Higher Order ◽  
Classical Field ◽  
Energy Stress

Lagrangians which depend on higher-order derivatives appear frequently in many areas of physics. In this paper, we reformulate Podolsky's Lagrangian in fractional form using left-right Riemann-Liouville fractional derivatives. The equations of motion are obtained using the fractional Euler Lagrange equation. In addition, the energy stress tensor and the Hamiltonian are obtained in fractional form from the Lagrangian density. The resulting equations are very similar to those found in classical field theory.

Vakonomic Constraints in Higher-Order Classical Field Theory

2010 ◽  
Author(s):  
Cédric M. Campos ◽  
Manuel Asorey ◽  
Jesús Clemente-Gallardo ◽  
Eduardo Martínez ◽  
José F. Cariñena
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Higher Order ◽  
Classical Field

scholarly journals SYMMETRIES IN CLASSICAL FIELD THEORY

2004 ◽  
Vol 01 (05) ◽  
pp. 651-710 ◽  
Author(s):  
MANUEL DE LEÓN ◽  
DAVID MARTÍN DE DIEGO ◽  
AITOR SANTAMARÍA-MERINO
Keyword(s):  
Field Theory ◽  
Conservation Laws ◽  
Classical Field Theory ◽  
Cauchy Data ◽  
Classical Field ◽  
Field Theories ◽  
Classical Field Theories

The multisymplectic description of Classical Field Theories is revisited, including its relation with the presymplectic formalism on the space of Cauchy data. Both descriptions allow us to give a complete scheme of classification of infinitesimal symmetries, and to obtain the corresponding conservation laws.

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