66 citations · 411 across the 22 of their papers we have counts for
22 papers
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…
Universality of the Axial Anomaly in Lattice QCD
M. Frewer, H. J. Rothe
We prove that lattice QCD generates the axial anomaly in the continuum limit under very general conditions on the lattice action, which includes the case of Ginsparg-Wilson fermion…
Chiral symmetry restoration and axial vector renormalization for Wilson fermions
T. Reisz, H. J. Rothe
Lattice gauge theories with Wilson fermions break chiral symmetry. In the U(1) axial vector current this manifests itself in the anomaly. On the other hand it is generally expected…
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…
Lattice QED and Universality of the Axial Anomaly
T. Reisz, H. J. Rothe
We give a perturbative proof that U(1) lattice gauge theories generate the axial anomaly in the continuum limit under very general conditions on the lattice Dirac operator. These c…
Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions
T. Reisz, H. J. Rothe
Using functional techniques, we prove, to all orders of perturbation theory, that lattice vector gauge theories with Ginsparg Wilson fermions are renormalizable. For two or more ma…
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…
The axial anomaly in lattice QED. A universal point of view
T. Reisz, H. J. Rothe
We give a perturbative proof that U(1) lattice gauge theories generate the axial anomaly in the continuum limit under very general conditions on the lattice Dirac operator. These c…
A New Look at the Axial Anomaly in Lattice QED with Wilson Fermions
H. J. Rothe, Neda Sadooghi
By carrying out a systematic expansion of Feynman integrals in the lattice spacing, we show that the axial anomaly in the U(1) lattice gauge theory with Wilson fermions, as determi…
Lattice Artefacts In The Non-Abelian Debye Screening Mass In One Loop Order
P. Kaste, H. J. Rothe
We compute the electric screening mass in lattice QCD with Wilson fermions at finite temperature and chemical potential to one-loop order, and show that lattice artefacts arising f…
Continuum Behaviour of Lattice QED, Discretized with One-Sided Lattice Differences, in One-Loop Order
Neda Sadooghi, Heinz J. Rothe
A lattice action for QED is considered, where the derivatives in the Dirac operator are replaced by one-sided lattice differences. A systematic expansion in the lattice spacing of…
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…
Lattice energy sum rules and the trace anomaly
Heinz J. Rothe
We show that the additional contribution to the Michael lattice energy sum rule for the static quark-antiquark potential, pointed out recently, can be identified with the contribut…
A NOVEL LOOK AT THE MICHAEL LATTICE SUM RULES
Heinz J. Rothe
We reconsider the derivation of the Michael lattice sum rules, which relate the energy and action stored in a flux tube of a quark-antiquark pair to the static interquark potential…
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…