English

Baryon-charge Chemical Potential in AdS/CFT

High Energy Physics - Theory 2008-11-26 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We present a closed framework of AdS/CFT with finite U(1)B-charge chemical potential. We show how the gauge-invariant identification of the chemical potential with the bulk gauge field emerges from the standard AdS/CFT dictionary. Physical importance and necessity of the Minkowski embeddings within the present framework is also shown numerically in the D3-D7 systems. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and low-chemical-potential region in the grand-canonical ensemble, hence it is incomplete. A physical interpretation that explains these numerical results is also proposed.

Keywords

Cite

@article{arxiv.0708.2818,
  title  = {Baryon-charge Chemical Potential in AdS/CFT},
  author = {Shin Nakamura and Yunseok Seo and Sang-Jin Sin and K. P. Yogendran},
  journal= {arXiv preprint arXiv:0708.2818},
  year   = {2008}
}

Comments

Revtex4, 36 pages with 23 figures

R2 v1 2026-06-21T09:09:16.732Z