Results 91 to 100 of about 336,860 (179)

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
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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  

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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Conservations laws for critical Kohn-Laplace equations on the Heisenberg group

, 2007
Using the complete group classification of semilinear differential equations on the three-dimensional Heisenberg group H, carried out in a preceding work, we estab-lish the conservation laws for the critical Kohn-Laplace equations via the Noether’s ...
Bozhkov Y.D., Bozhokov, Yuri Dimitrov, Freire I.L., Freire, Igor Leite, Yuri Dimitrov Bozhkov A B, Igor Leite Freire A C, Yuri Dimitrov Bozhkov, Igor Leite Freire   +7 more
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On Moving Frames and Noether’s Conservation Laws

, 2011
Noether’s Theorem yields conservation laws for a Lagrangian with a variational symmetry group. The explicit formulae for the laws are well known and the symmetry group is known to act on the linear space generated by the conservation laws.
Goncalves, T.M.N., T. M. N. Gonçalves, E. L. Mansfield, Mansfield, Elizabeth L.   +3 more
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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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Introduction

, 2017
General introduction with a review of the principles of Hamiltonian and Lagrangian mechanics. The connection between symmetries and conservation laws, with a presentation of Noether’s theorem, is included.
Roland Sénéor, John Iliopoulos, Laurent Baulieu   +2 more
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Noether’s Theorem, Symmetries & Conservation Laws

Noether’s theorem is one of the most profound results in physics, revealing a deep connection between symmetry and conservation laws and explaining why quantities like energy, momentum, and angular momentum exist at all.
Ansbacher, Ben
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Quadratures of Pontryagin extremals for optimal control problems [PDF]

, 2006
We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values
Rocha, E. A., Rocha, E.A.M., Torres, D. F., Torres, D.F.M.   +3 more
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Le théorème de Noether : Son centenaire, sa signification et sa portée

, 2016
International audienceWe present the genesis and some applications of the famous Emmy Noether’s invariants theorem proposed a century ago in 1916. The genesis emphasises the historical context of this theorem, and the proposed applications show how this ...
Perez, Jérôme
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