Results 61 to 70 of about 315 (137)

Birkhoff's Theorem from a geometric perspective: A simple example [PDF]

Categories and General Algebraic Structures with Applications, 2016
‎From Hilbert's theorem of zeroes‎, ‎and from Noether's ideal theory‎, ‎Birkhoff derived certain algebraic concepts (as explained by Tholen) that have a dual significance in general toposes‎, ‎similar to their role in the original examples of algebraic ...
F. William Lawvere
doaj  

Emmy Noether and Linear Evolution Equations

Acta Polytechnica, 2013
Noether’s Theorem relates the Action Integral of a Lagrangian with symmetries which leave it invariant and the first integrals consequent upon the variational principle and the existence of the symmetries. These each have an equivalent in the Schrödinger
P. G. L. Leach
doaj  

Noether’s theorem and Ward-Takahashi identities from homotopy algebras

Journal of High Energy Physics
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
doaj   +1 more source

Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory

Advances in Mathematical Physics, 2012
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
doaj   +1 more source

ABJ anomaly as a U(1) symmetry and Noether’s theorem

SciPost Physics
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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Noether’s theorem for the conditional principle of least action

European Physical Journal C: Particles and Fields
We consider the problem of a conditional extremum of an action in a class of fields constrained by differential equations. For this setup, we propose an extension of Noether’s first theorem to connect the symmetries of the action and the imposed ...
S. L. Lyakhovich, S. B. Sayapin, I. A. Zubareva   +2 more
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Miracles persist: a reply to Sus. [PDF]

Eur J Philos Sci, 2022
Linnemann N, Read J.
europepmc   +1 more source

Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems. [PDF]

J Nonlinear Sci, 2023
Burby JW, Hirvijoki E, Leok M.
europepmc   +1 more source

On controlled Hamilton and Hamilton-Jacobi differential equations of higher-order. [PDF]

Sci Rep, 2022
Treanţă S, Nonlaopon K, Khan MB.
europepmc   +1 more source

BRST Noether theorem and corner charge bracket

Journal of High Energy Physics
We provide a proof of the BRST Noether 1.5th theorem, conjectured in [ JHEP 10 (2024) 055 ], for a broad class of rank-1 BV theories including supergravity and 2-form gauge theories. The theorem asserts that the BRST Noether current of any BRST invariant
Laurent Baulieu, Tom Wetzstein, Siye Wu
doaj   +1 more source