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Feynman rules for fermion number violating interactions
We present simple algorithmic Feynman rules for fermion-number-violating interactions. They do not involve explicit charge-conjugation matrices and resemble closely the familiar rules for DiracExpand
A non-Archimedean approach to prolongation theory
  • H. Eck
  • Mathematics
  • 1 October 1986
Some evolution equations possess infinite-dimensional prolongation Lie algebras which can be made finite-dimensional by using a bigger (non-Archimedean) field. The advantage of this is thatExpand
Compact Feynman rules for Majorana fermions
We present simple algorithmic Feynman rules for Majorana fermions. Insisting on a fermion flow through the graphs along fermion lines we only need the familiar Dirac propagator and only verticesExpand
Computeralgebraic generation and calculation of Feynman graphs using FeynArts and FeynCalc
Abstract We have developped FeynArts and FeynCalc , two computer-algebra programs written in Mathematics . FeynArts automatically creates Feynman graphs in renormalizable field theories and generatesExpand
The explicit form of the Lie algebra of Wahlquist and Estabrook. A presentation problem
The structure of the KdV-Lie algebra of Wahlquist and Estabrook is made explicit. This is done with help of a table of Lie-products and an inherent grading of the algebra.
A Non-Archimedean Approach to Prolongation Theory
Some evolution equations possess infinite-dimensional prolongation Lie algebras which can be made finite-dimensional by using a bigger (non-Archimedean) field. The advantage of this is thatExpand
On the existence and uniqueness of the boundary layer equations for a rotating conducting flow
In this paper we have considered the question of the existence of the solution of a pair of coupled ordinary differential equations depending on a parameter s. By using a corollary of theExpand
The explicit structure of the nonlinear Schrödinger prolongation algebra
The structure of the nonlinear Schrodinger prolongation algebra, introduced by Estabrook and Wahlquist, is explicitly determined. It is proved that this Lie algebra is isomorphic with the directExpand
Introduction to Hopf Algebras