Hopf algebra of non-commutative field theory
Adrian Tanasa, Fabien Vignes-Tourneret
TL;DR
This paper constructs a Hopf algebra framework to understand the renormalization process in non-commutative quantum field theory, providing a new algebraic perspective on these complex calculations.
Contribution
It introduces a novel Hopf algebra structure specifically designed for non-commutative quantum field theory renormalization, expanding algebraic tools in quantum physics.
Findings
Hopf algebra structure successfully models renormalization in non-commutative QFT
Provides algebraic insights into non-commutative quantum field calculations
Lays groundwork for further algebraic approaches in quantum field theory
Abstract
We contruct here the Hopf algebra structure underlying the process of renormalization of non-commutative quantum field theory.
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