Quantum Clifford Hopf gebra for quantum field theory

Quantum field theory meets Hopf algebra

✍ Christian Brouder 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 313 KB

## Abstract 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 functio

Hopf algebra primitives in perturbation

Hopf algebra primitives in perturbation quantum field theory

✍ M. Rosenbaum; J. David Vergara; H. Quevedo 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 168 KB

The analysis of the combinatorics resulting from the perturbative expansion of the transition amplitude in quantum field theories, and the relation of this expansion to the Hausdorff series leads naturally to consider an infinite dimensional Lie subalgebra and the corresponding enveloping Hopf algeb

Quantum field theory for elementary part

Quantum field theory for elementary particles. Is quantum field theory a theory?

✍ Gerard't Hooft 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 877 KB

Quantum Field Theory || Introducing Quan

Quantum Field Theory || Introducing Quantum Fields

✍ Huang, Kerson 📂 Article 📅 1998 🏛 Wiley-VCH Verlag GmbH 🌐 English ⚖ 536 KB

Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman

Quantum Field Theory || Quantum Electrod

Quantum Field Theory || Quantum Electrodynamics

✍ Huang, Kerson 📂 Article 📅 1998 🏛 Wiley-VCH Verlag GmbH 🌐 English ⚖ 517 KB

Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman

The Riesz–Clifford Functional Calculus f

The Riesz–Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory

✍ Vladimir V. Kisil; Enrique Ramírez de Arellano 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 667 KB

## Communicated by W. Sproljig We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on Clifford analysis. Applications to the quantum field theory are described.