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Auteurs principaux: Bhamre, Deepesh, de Melo, J. P. B. C.
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2511.08740
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author Bhamre, Deepesh
de Melo, J. P. B. C.
author_facet Bhamre, Deepesh
de Melo, J. P. B. C.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08740
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ward-Takahashi identity in the light-front formalism for a bound state of fermions
Bhamre, Deepesh
de Melo, J. P. B. C.
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
title Ward-Takahashi identity in the light-front formalism for a bound state of fermions
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.08740