Combinatorics of n-point functions via Hopf algebra in quantum field theory

Journal Article · Mon May 15 00:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2196239· OSTI ID:20768775

Mestre, Angela; Oeckl, Robert ^[1]

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1. Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, Campus Morelia, C. P. 58190, Morelia, Michoacan (Mexico)

We use a coproduct on the time-ordered algebra of field operators to derive simple relations between complete, connected and 1-particle irreducible n-point functions. Compared to traditional functional methods our approach is much more intrinsic and leads to efficient algorithms suitable for concrete computations. It may also be used to efficiently perform tree level computations.

• OSTI ID: 20768775
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 5; Other Information: DOI: 10.1063/1.2196239; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ALGORITHMS
FIELD OPERATORS
FUNCTIONAL ANALYSIS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
RELATIVISTIC RANGE
STRING MODELS