@article{arai2013thermal,
  author = {Arai, M. and Kobayashi, Y. and Sasaki, S.},
  title = {Thermal field theory with nonuniform chemical potential},
  journal = {Physical Review D},
  publisher = {American Physical Society (APS)},
  volume = {88},
  number = {12},
  pages = {125009},
  year = {2013},
  doi = {10.1103/PhysRevD.88.125009},
  issn = {1550-7998}
}