Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
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Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory
The covariant canonical analysis for Yang-Mills theory expressed as a BF-like action is performed. We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action.
Alberto Escalante, Irving García
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Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems. [PDF]
Burby JW, Hirvijoki E, Leok M.
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Noether’s theorem and Ward-Takahashi identities from homotopy algebras
We derive the new identity in homotopy algebras which directly corresponds to the Schwinger-Dyson equations in quantum field theory. As an application, we derive the Ward-Takahashi identities.
Keisuke Konosu, Jojiro Totsuka-Yoshinaka
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ABJ anomaly as a U(1) symmetry and Noether’s theorem
The Adler-Bell-Jackiw anomaly determines the violation of chiral symmetry when massless fermions are coupled to an abelian gauge field. In its seminal paper, Adler noticed that a modified chiral $U(1)$ symmetry could still be defined, at the expense of ...
Valentin Benedetti, Horacio Casini, Javier M. Magan
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On the role of continuous symmetries in the solution of the three-dimensional Euler fluid equations and related models. [PDF]
Bustamante MD.
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A Century Of Noether'S Theorem
Fermilab Colloquium, August 15, 2018. Abstract: In the summer of 1918, Emmy Noether published the theorem that now bears her name, establishing a profound connection between symmetries and conservation laws. The influence of this insight is pervasive in physics; it underlies all of our theories of the fundamental interactions and gives meaning to ...
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Symmetry-Based Representations for Artificial and Biological General Intelligence. [PDF]
Higgins I, Racanière S, Rezende D.
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Connections Between Symmetries and Conservation Laws
This paper presents recent work on connections between symmetries and conservation laws. After reviewing Noether's theorem and its limitations, we present the Direct Construction Method to show how to find directly the conservation laws for any given ...
George Bluman
doaj
General Relativity, Mental Causation, and Energy Conservation. [PDF]
Pitts JB.
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