Algorithmic derivation of Dyson-Schwinger equations

Alkofer R., Huber M. Q., Schwenzer K. O.

COMPUTER PHYSICS COMMUNICATIONS, cilt.180, sa.6, ss.965-976, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 180 Sayı: 6
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.cpc.2008.12.009
  • Dergi Adı: COMPUTER PHYSICS COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.965-976
  • İstanbul Üniversitesi Adresli: Hayır

Özet

We present an algorithm for the derivation of Dyson-Schwinger equations of general theories that is suitable for an implementation within a symbolic programming language. Moreover, we introduce the Mathematica package DoDSE(1) which provides such an implementation. It derives the Dyson-Schwinger equations graphically once the interactions of the theory are specified. A few examples for the application of both the algorithm and the DoDSE package are provided.