Dilatation Operator and Space-time Geometry
Corneliu Sochichiu
TL;DR
This paper explores the construction of the dilatation operator in quantum field theory to understand the renormalization group flow and its connection to space-time geometry, focusing on one-loop level calculations.
Contribution
It provides a detailed method for constructing the dilatation operator at one-vertex one-loop level, advancing the understanding of RG-flow in quantum field theories.
Findings
Dilatation operator constructed at one-loop level
Insights into RG-flow and space-time geometry connection
Methodology applicable to quantum field theories
Abstract
We discuss the possibility of defining a dynamical model describing the RG-flow for a Quantum Field Theory. Construction of the dilatation operator is discussed in details for one-vertex one-loop level.
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