Twisted Boundary Conditions and Matching to the Effective Four Dimensional Theory

TL;DR

This paper discusses how twisted boundary conditions in extra dimensions create ambiguities in four-dimensional coupling constants, affecting model stability and requiring detailed higher-dimensional action knowledge for resolution.

Contribution

It analyzes the impact of twisted boundary conditions on coupling constant ambiguities and their implications for model stability in theories with extra dimensions.

Findings

Ambiguity in coupling constants can be of order one.

Uncertainty affects the stability of models with extra dimensions.

Resolving ambiguity requires detailed higher-dimensional action knowledge.

Abstract

Nontrivial twisted boundary conditions associated with extra compact dimensions produce an ambiguity in the value of the four dimensional coupling constants of the renormalizable interactions of the twisted fields' zero modes. Resolving this indeterminancy would require a knowledge of the exact form of the higher dimensional action including the coefficients of higher dimensional operators. For the case of moderately sized extra dimensions, the uncertainty in the coupling constants can be of order one and may lead to modifications in the stability of the model.