Marginal operators in quantum field theory with extra dimensions

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.

Comments: 9 pages, 4 figures; v2: figures added, references added, a minor change of notation in (2.1), (2.5), (3.4), (4.4) and (5.5)