66 citations · 411 across the 22 of their papers we have counts for
12 papers · 1 filter
From the BRST invariant Hamiltonian to the Field-Antifield Formalism
Heinz J. Rothe, Klaus D. Rothe
We study the relation between the lagrangian field-antifield formalism and the BRST invariant phase space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisk…
Gauge Identities and the Dirac Conjecture
Heinz J. Rothe, Klaus D. Rothe
The gauge symmetries of a general dynamical system can be systematically obtained following either a Hamiltonean or a Lagrangean approach. In the former case, these symmetries are…
Dirac's Constrained Hamiltonian Dynamics from an Unconstrained Dynamics
Heinz J. Rothe
We derive the Hamilton equations of motion for a constrained system in the form given by Dirac, by a limiting procedure, starting from the Lagrangean for an unconstrained system. W…
Lagrangean Approach to Gauge Symmetries for Mixed Constrained Systems and the Dirac Conjecture
Heinz J. Rothe, Klaus D. Rothe
The gauge symmetries of a general dynamical system can be systematically obtained following either a Hamiltonean or a Lagrangean approach. In the former case, these symmetries are…
Lagrange versus Symplectic Algorithm for Constrained Systems
Heinz J. Rothe, Klaus D. Rothe
The systematization of the purely Lagrangean approach to constrained systems in the form of an algorithm involves the iterative construction of a generalized Hessian matrix W takin…
Lagrangean Approach to Hamiltonian Gauge Symmetries and the Dirac Conjecture
Heinz J. Rothe
Using well known Lagrangean techniques for uncovering the gauge symmetries of a Lagrangean, we derive the transformation laws for the phase space variables corresponding to local s…
Recursive Construction of Generator for Lagrangian Gauge Symmetries
R. Banerjee, H. J. Rothe, K. D. Rothe
We obtain, for a subclass of structure functions characterizing a first class Hamiltonian system, recursive relations from which the general form of the local symmetry transformati…
Master Equation for Lagrangian Gauge Symmetries
R. Banerjee, H. J. Rothe, K. D. Rothe
Using purely Hamiltonian methods we derive a simple differential equation for the generator of the most general local symmetry transformation of a Lagrangian. The restrictions on t…
Hamiltonian Approach to Lagrangian Gauge Symmetries
R. Banerjee, H. J. Rothe, K. D. Rothe
We reconsider the problem of finding all local symmetries of a Lagrangian. Our approach is completely Hamiltonian without any reference to the associated action. We present a simpl…
Hamiltonian Embedding of Self-Dual Model and Equivalence with Maxwell-Chern-Simons Theory
R. Banerjee, H. J. Rothe, K. D. Rothe Comments 9 pages +1
Following systematically the generalized Hamiltonian approach of Batalin and Fradkin, we demonstrate the equivalence of a self-dual model with the Maxwell-Chern-Simons theory by em…
On the Equivalence of the Maxwell-Chern-Simons Theory and a Self-Dual Model
R. Banerjee, H. J. Rothe, K. D. Rothe
We study the connection between the Green functions of the Maxwell-Chern-Simons theory and a self-dual model by starting from the phase-space path integral representation of the De…
BATALIN-FRADKIN-TYUTIN EMBEDDING OF A SELF-DUAL MODEL AND THE MAXWELL-CHERN-SIMONS THEORY
R. Banerjee, Heinz J. Rothe
We convert the self-dual model of Townsend, Pilch, and Nieuwenhuizen to a first-class system using the generalized canonical formalism of Batalin, Fradkin, and Tyutin and show that…