# Vector Mesons on the Light Front

Source: [Vector Mesons on the Light Front](<https://www.sota2.com/research/paper/68fa292c1e209131ce8319c1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T12:43:01.807Z

Authors: K. Naito, S. Maedan, K. Itakura

Published: 2003-08-08T09:56:23.000Z

## Abstract

We apply the light-front quantization to the Nambu--Jona-Lasinio model with the vector interaction, and compute vector meson's mass and light-cone wavefunction in the large N limit. Following the same procedure as in the previous analyses for scalar and pseudo-scalar mesons, we derive the bound-state equations of a q-qbar system in the vector channel. We include the lowest order effects of the vector interaction. The resulting transverse and longitudinal components of the bound-state equation look different from each other. But eventually after imposing an appropriate cutoff, one finds these two are identical, giving the same mass and the same (spin-independent) light-cone wavefunction. Mass of the vector meson decreases as one increases the strength of the vector interaction.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/0308096>)

[PDF](<https://arxiv.org/pdf/hep-ph/0308096.pdf>)