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Lagrangian-Perfect Hypergraphs
Annals of Combinatorics, 2023For an \(r\)-graph \((r\ge2)\) \(G=(V,E)\) with \(V=[n]\), and \(\vec x=(x_1,\dots,x_n)\in[0,\infty)^n\), \(\lambda(G,\vec x)=\sum\limits_{e\in E}\prod\limits_{i\in e}x_i\); the Lagrangian is \(\lambda(G) =\max\{\lambda(G,\vec x):\vec x\in\Delta\}\), where \(\Delta=\{\vec x=(x_1,x_2,\dots,x_n)\in[0,1]^n:x_1+x_2+\dots+x_n=1\}\); the Lagrangian density \(
Yan, Zilong, Peng, Yuejian
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Physical Review D, 1991
We describe a method for introducing gauge fields into nonlocal Lagrangians, and for deriving the resulting Feynman rules. The method is applied in detail to the nonlocal chiral quark model. In particular we describe how to calculate coupling constants of the effective chiral Lagrangian that results when the quarks are integrated out of the theory.
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We describe a method for introducing gauge fields into nonlocal Lagrangians, and for deriving the resulting Feynman rules. The method is applied in detail to the nonlocal chiral quark model. In particular we describe how to calculate coupling constants of the effective chiral Lagrangian that results when the quarks are integrated out of the theory.
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Mathematica Slovaca, 2015
Abstract We consider Lagrangians for parametric variational problems defined on velocity manifolds and show that a Lagrangian is null precisely when its shadow, a family of vector forms, is closed. We also show that a null Lagrangian can be recovered (to within a constant) from its shadow, and therefore that such a Lagrangian is (again ...
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Abstract We consider Lagrangians for parametric variational problems defined on velocity manifolds and show that a Lagrangian is null precisely when its shadow, a family of vector forms, is closed. We also show that a null Lagrangian can be recovered (to within a constant) from its shadow, and therefore that such a Lagrangian is (again ...
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Homogeneous lagrangian systems
Reports on Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematical Physics, 2002
The aim of this article is to study certain Lorentz invariant Lagrangians. The first of these Lagrangians could be related to a particle of spin 12 moving in a particular Yang–Mills gauge field. The second Lagrangian is related to the relativistic Newton–Coulomb problem.
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The aim of this article is to study certain Lorentz invariant Lagrangians. The first of these Lagrangians could be related to a particle of spin 12 moving in a particular Yang–Mills gauge field. The second Lagrangian is related to the relativistic Newton–Coulomb problem.
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International Journal of Geometric Methods in Modern Physics, 2013
Graded Lagrangian formalism in terms of a Grassmann-graded variational bicomplex on graded manifolds is developed in a very general setting. This formalism provides the comprehensive description of reducible degenerate Lagrangian systems, characterized by hierarchies of non-trivial higher-order Noether identities and gauge symmetries.
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Graded Lagrangian formalism in terms of a Grassmann-graded variational bicomplex on graded manifolds is developed in a very general setting. This formalism provides the comprehensive description of reducible degenerate Lagrangian systems, characterized by hierarchies of non-trivial higher-order Noether identities and gauge symmetries.
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Lagrangian–Eulerian methods for multiphase flows
Progress in Energy and Combustion Science, 2013Shankar Subramaniam
exaly
On Lagrangian stochastic methods for turbulent polydisperse two-phase reactive flows
Progress in Energy and Combustion Science, 2015Jean-Pierre Minier
exaly