Marginal operators in quantum field theory with extra dimensions

TL;DR

This paper classifies operators in Randall-Sundrum spacetime, revealing the existence of marginal and interacting operators, which aids in developing quantum correction models in extra-dimensional field theories.

Contribution

It identifies marginal and interacting operators in Randall-Sundrum spacetime, unlike higher-dimensional effective theories near free-field fixed points.

Findings

Existence of marginal operators in Randall-Sundrum spacetime

Potential for constructing quantum correction models with relevant and marginal operators

Differences from higher-dimensional effective theories near free-field fixed points

Abstract

The classification of relevant, marginal and irrelevant operators is studied in the Randall-Sundrum spacetime. We find that there exist marginal and interacting operators in the Randall-Sundrum spacetime unlike a higher-dimensional effective theory near the free-field fixed point. This gives a direction to treat quantum corrections in the field-theoretical framework with extra dimensions by constructing models out of relevant and marginal operators.