Baryoncharge Chemical Potential in AdSCFT

1
Baryon-charge Chemical Potential in AdS/CFT

• Yunseok Seo
• Hanyang University
• (in collaboration with Sang Jin Sin, Shin
  Nakamura and K. P. Yogendran)

Based on arXiv0708.2818
hep-th/0611021

• AdS/CFT provides a method of calculating
  properties of gaue theories at strong coupling
• Gauge theories at finite temperature can be
  studied by introducing black hole in the bulk
• Density and chemical potentials can be easily
  introduced

• D3/D7 system

KIAS-YITP Joint Workshop, String Phenomenology
and Cosmology
2

• Introducing a particle charged under U(1) into
  the D7 world volume costs some energy

• Hamiltonian

• Equation of motion

• Solutions

KIAS-YITP Joint Workshop, String Phenomenology
and Cosmology
3

• Equation of states

• Phase diagram

• Canonical Ensemble

• Grand-canonical Ensemble

• Source problem future work

KIAS-YITP Joint Workshop, String Phenomenology
and Cosmology