Work

Ward-Takahashi identity in the light-front formalism for a bound state of fermions

Year: 2026

Type: article

Abstract: We investigate the Ward-Takahashi identity at one-loop in the light-front (LF) formalism for a bound state of fermions. We consider a spinless bound state made up of two fermions in which the Ward-Takahashi identity is satisfied in the covariant formulation. Considering the same system in the light-front formalism, we investigate the proof of Ward-Takahashi identity by integrating the light-front energy component through the identification of the relevant ranges of the longitudinal LF momentum. We elucidate that the pair production diagram plays a crucial role in establishing the Ward-Takahashi identity. We also point out the necessity of taking into account the corresponding zero modes for truly establishing the Ward-Takahashi identity in the LF formalism.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/jm5x-7d83

Authors: Deepesh Bhamre, J. P. B. C. de Melo

Institution: Universidade Cidade de São Paulo

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Instituto Nacional de Ciência e Tecnologia: Física Nuclear e Aplicações

Awards: G1759509370, Emergent few-body dynamics in exotic nuclei and other applications, Light Front Formalism Applied to Hadrons Physics, G5192715853