Fermions and Gauge Vector Mesons at Finite Temperature and Density. 2. The Ground State Energy of a Relativistic electron Gas

Sep, 1976
82 pages
Published in:
  • Phys.Rev.D 16 (1977) 1147
Report number:
  • MIT-CTP-576

Citations per year

19761988200020122024024681012
Abstract: (APS)
We calculate the ground-state energy of a relativistic electron gas up to and including effects of order α2logα and α2. Cutting rules are developed which relate a vacuum-graph expansion for the thermodynamic potential to phase-space integrals over Feynman amplitudes. Overlapping infrared divergences, which cancel when all contributions of order α2 are summed, are treated by performing a dimensional continuation to 4+ε dimensions. Ultraviolet divergences associated with electron wave-function and charge renormalizations are rendered finite by use of a Landau gauge appropriate to 4+ε dimensions.
  • FERMION
  • VECTOR MESON: GAUGE
  • ELECTRON: GAS
  • RELATIVISTIC
  • QUARK: GAS
  • POTENTIAL: THERMODYNAMICAL
  • EXCHANGE: ENERGY
  • FIELD THEORY: VACUUM POLARIZATION
  • FIELD THEORY: INFRARED PROBLEM
  • POLARIZATION: TENSOR