Results 91 to 100 of about 232 (162)

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

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
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
doaj   +1 more source

Symmetry-Based Representations for Artificial and Biological General Intelligence. [PDF]

Front Comput Neurosci, 2022
Higgins I, Racanière S, Rezende D.
europepmc   +1 more source

General Relativity, Mental Causation, and Energy Conservation. [PDF]

Erkenntnis, 2022
Pitts JB.
europepmc   +1 more source

Connections Between Symmetries and Conservation Laws

Symmetry, Integrability and Geometry: Methods and Applications, 2005
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  

Re-evaluating the structure of consciousness through the symintentry hypothesis. [PDF]

Front Psychol, 2023
Rail D, Selby A.
europepmc   +1 more source

Conservation of Energy: Missing Features in Its Nature and Justification and Why They Matter. [PDF]

Found Sci, 2021
Pitts JB.
europepmc   +1 more source

A geometric derivation of Noether’s theorem

European Journal of Physics
Abstract Nother’s theorem is a cornerstone of analytical mechanics, making the link between symmetries and conserved quantities. In this article, I propose a simple, geometric derivation of this theorem that circumvents the usual difficulties that a student of this field usually encounters.
openaire   +2 more sources

Weak invariants in dissipative systems: action principle and Noether charge for kinetic theory. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Abe S.
europepmc   +1 more source