Corpus ID: 16058941

New features of FORM

  title={New features of FORM},
  author={J. Vermaseren},
  journal={arXiv: Mathematical Physics},
  • J. Vermaseren
  • Published 2000
  • Physics, Mathematics
  • arXiv: Mathematical Physics
Version 3 of FORM is introduced. It contains many new features that are inspired by current developments in the methodology of computations in quantum field theory. A number of these features is discussed in combination with examples. In addition the distribution contains a number of general purpose packages. These are described shortly. 
Extended T-systems
We use the theory of q-characters to establish a number of short exact sequences in the category of finite-dimensional representations of the quantum affine groups of types A and B. That allows us toExpand
FORM, Diagrams and Topologies
We discuss a number of FORM features that are essential in the automatic processing of very large numbers of diagrams as used in the Forcer program for 4-loop massless propagator diagrams. Most ofExpand
Potential of FORM 4.0
The main new features of Form version 4.0 include factorization, polynomial arithmetic, new special functions, systems independent, and a completely new feature for code simplification. Expand
Path description of type B q-characters
Abstract We give a set of sufficient conditions for a Laurent polynomial to be the q -character of a finite-dimensional irreducible representation of a quantum affine group. We use this result toExpand
PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
A FORM program which is used to efficiently expand in components purespinor superfield expressions of kinematic factors is presented and comments on how it works are made. It is highly customizableExpand
Parallel Computer Algebra and Feynman Integrals
Relativistic quantum field theories are the mathematical tools which are indispensable in modern particle physics. In particular in combination with perturbation theory, realized with the help ofExpand
Normal Form in Filtered Lie Algebra Representations
This paper gives a setup for normal form theory and the computation of normal forms with emphasis on the dual character of the transformation generators and the objects to be transformed into normalExpand
Recursive actions for scalar theories
Abstract. We introduce a class of self-interacting scalar theories in which the various coupling constants obey a recursive relation. These imply a particularly simple form for the generatingExpand
On non-Abelian holonomies
We provide a method and results for the calculation of the holonomy of a Yang–Mills connection in an arbitrary triangular path, in an expansion (developed here to fifth order) in powers of theExpand
beta-functions in higher dimensional field theories
We review recent activity in the construction of the renormalization group functions for O(N) scalar and gauge theories in six and higher dimensions. The theories lie in their respective universalityExpand


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