A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams
نویسندگان
چکیده
We construct a three parameter deformation of the Hopf algebra LDIAG. This new algebra is a true Hopf deformation which reduces to LDIAG on one hand and to MQSym on the other, relating LDIAG to other Hopf algebras of interest in contemporary physics. Further, its product law reproduces that of the algebra of polyzeta functions.
منابع مشابه
1 9 Se p 20 06 A multipurpose Hopf deformation of the Algebra of Feynman - like Diagrams
We construct a three parameter deformation of the Hopf algebra LDIAG. This new algebra is a true Hopf deformation which reduces to LDIAG on one hand and to MQSym on the other , relating LDIAG to other Hopf algebras of interest in contemporary physics. Further , its product law reproduces that of the algebra of polyzeta functions .
متن کاملQuantum field theory meets Hopf algebra
This paper provides a primer in quantum field theory (QFT) based on Hopf algebra and describes new Hopf algebraic constructions inspired by QFT concepts. The following QFT concepts are introduced: chronological products, S-matrix, Feynman diagrams, connected diagrams, Green functions, renormalization. The use of Hopf algebra for their definition allows for simple recursive derivations and lead ...
متن کاملHopf algebra approach to Feynman diagram calculations
The Hopf algebra structure underlying Feynman diagrams which governs the process of renormalization in perturbative quantum field theory is reviewed. Recent progress is briefly summarized with an emphasis on further directions of research.
متن کاملInstitute for Mathematical Physics Renormalization Automated by Hopf Algebra Renormalization Automated by Hopf Algebra
It was recently shown that the renormalization of quantum eld theory is organized by the Hopf algebra of decorated rooted trees, whose coproduct identiies the divergences requiring subtraction and whose antipode achieves this. We automate this process in a few lines of recursive symbolic code, which deliver a nite renormalized expression for any Feynman diagram. We thus verify a representation ...
متن کاملHopf Algebraic Structures in the Cutting Rules
Since the Connes–Kreimer Hopf algebra was proposed, revisiting present quantum field theory has become meaningful and important from algebraic points. In this paper, the Hopf algebra in the cutting rules is constructed. Its coproduct contains all necessary ingredients for the cutting equation crucial to proving the perturbative unitarity of the S-matrix. Its antipode is compatible with the caus...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/cs/0609107 شماره
صفحات -
تاریخ انتشار 2006