Becchi-Rouet-Stora-Tyutin symmetry
نویسندگان
چکیده
منابع مشابه
Becchi-Rouet-Stora-Tyutin treatment of collective coordinates.
The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of collective coordinates is considered in the Lagrangian formalism. The motion of a particle in a Riemannian manifold is studied in the case when the classical solutions break a non-abelian global invariance of the action. Collective coordinates are introduced, and the resulting gauge theory is quantized in the BRST antifield ...
متن کاملBecchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions.
The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear O(3) model in 2+1 dimensions. We show that this method allows for a simple and systematic treatment of zero-modes with a non-commuting algebra. We obtain the expression of the BRST hamiltonian and show that the residual interaction can be perturbatively treated in an IR-divergence-free w...
متن کاملN = 2 Super Yang-mills Action as a Becchi-rouet-stora-tyutin Term, Topological Yang-mills Action and Instantons
By constructing a nilpotent extended BRST operator ¯ s that involves the N=2 global supersymmetry transformations of one chirality, we show that the standard N=2 off-shell Super Yang Mills Action can be represented as an exact BRST term ¯ sΨ, if the gauge fermion Ψ is allowed to depend on the inverse powers of supersymmetry ghosts. By using this nonanalytical structure of the gauge fermion (via...
متن کاملSymmetries And Noncommutativity In Particle Mechanics
We discuss various symmetry properties of the reparametrization invariant toy model of a free non-relativistic particle and show that its commutativity and noncommu-tativity (NC) properties are the artifact of the underlying symmetry transformations. By exploiting the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations, we demonstrate the existence of the NC and show its cohomological equ...
متن کاملThe Pinch Technique to All Orders
The generalization of the pinch technique to all orders in perturbation theory is presented. The effective Green’s functions constructed with this procedure are singled out in a unique way through the full exploitation of the underlying Becchi-Rouet-Stora-Tyutin symmetry. A simple all-order correspondence between the pinch technique and the background field method in the Feynman gauge is establ...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.7135