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

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Alberto Escalante ◽  
Irving García
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Canonical Analysis ◽  
Noether’S Theorem ◽  
Yang Mills ◽  
Noether's Theorem ◽  
Canonical Approach

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. In addition, by using the results obtained in the covariant canonical approach we study the symmetries of the action, in particular we calculate its energy-momentum tensor obtaining the same tensor found for Yang-Mills theory; then we confirm those results by using Noether's theorem.

Der aus dem Noetherschen Theorem folgende Energie-Impulstensor für das elektromagnetische Feld in Materie

1969 ◽  
Vol 24 (9) ◽  
pp. 1356-1361 ◽  
Author(s):  
U.E. Schröder
Keyword(s):  
Electromagnetic Field ◽  
Mechanical System ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Noether’S Theorem ◽  
Electromagnetic System ◽  
Noether's Theorem ◽  
Scale Transformations ◽  
Asymmetric Expression

Abstract The often discussed question concerning the energy-momentum tensor of the electromagnetic field in matter can be answered using NOETHER'S theorem. The separation of the electromagnetic system from the mechanical system introduced here leads to the asymmetric expression for the energy momentum tensor. From covariance with respect to scale transformations one further concludes that the trace of the energy-momentum tensor vanishes.

scholarly journals CANONICAL APPROACH TO 2D SUPERSYMMETRIC WZNW MODEL COUPLED TO SUPERGRAVITY

2002 ◽  
Vol 17 (29) ◽  
pp. 1923-1936 ◽  
Author(s):  
OLIVERA MIŠKOVIĆ ◽  
BRANISLAV SAZDOVIĆ
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Moody Algebra ◽  
Gauge Transformations ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Wznw Model ◽  
Canonical Approach ◽  
Explicit Expressions

Starting from the known representation of the Kac–Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac–Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy–momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

scholarly journals Non-Linear Abelian Scenarios and Yang-Mills Theory

2017 ◽  
pp. 5146-5154
Author(s):  
Saulo Machado Moreira Sousa ◽  
I. Soares ◽  
D. Leite ◽  
R. M. Doria
Keyword(s):  
Local Symmetry ◽  
Noether’S Theorem ◽  
Yang Mills ◽  
Noether's Theorem ◽  
Non Linear ◽  
Natural Formulation

We present a natural formulation for constructing Yang-Mills theories from the incorporation of non-linearities to the Maxwell's theory of electromagnetism. Our formulation is strongly based on Noether's Theorem and aims to show how the introduction of non-linearities can turn a global invariance into a local symmetry as the more general Yang-Mills type of symmetry.

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