# Vector condensation in QCD

Source: [Vector condensation in QCD](<https://www.sota2.com/research/paper/68fa1ee07a2b558e29325400>)

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

Data updated: 2025-10-23T16:14:26.842Z

Authors: K. Splittorff

Published: 2001-10-31T18:44:30.000Z

## Abstract

The response of the QCD vacuum to quark chemical potentials on the order of the pion mass is studied within the context of chiral perturbation theory. For two colour QCD diquark condensation sets in when the baryon chemical potential becomes larger than the pion mass. This leading order result is confirmed at next to leading order. Next a set of massive spin-one vectors is included in the effective Lagrangian and the vector masses are calculated at leading order. Massless vector modes appear when the baryon chemical potential is equal to the mass of the lightest vector at zero chemical potential. This suggest vector condensation.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-lat/0110226>)

[PDF](<https://arxiv.org/pdf/hep-lat/0110226.pdf>)