Work

Trace anomaly for a conformal 2D vector field model

Year: 2026

Type: article

Abstract: The trace anomaly and anomaly-induced action are evaluated for the two-dimensional 2 D vector theory with classical conformal symmetry. Implementing local conformal symmetry while preserving the gauge invariance requires either giving up locality of the classical action or, equivalently, introducing an auxiliary scalar field. The two-dimensional limit in such a theory is singular. However, in the dimensional regularization, the limit $$D \rightarrow 2$$ D → 2 in the one-loop divergence is smooth. As a result, we arrive at the expression for anomaly, which has a rich general structure, typical for the dimensions $$D \ge 4$$ D ≥ 4 . For comparison and completeness, we also evaluate anomalies for conformal scalar and fermions, also in the presence of auxiliary external scalars.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-026-16361-0

Authors: Samuel W. P. Oliveira, Ilya L. Shapiro

Institutions: Universidade Federal do Espírito Santo, Universidade Federal de Juiz de Fora

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Pesquisa e Inovação do Espírito Santo

OpenAlex ID: W4417530505