Suppression of the Goldstone Boson in a Gross-Neveu Model

Oct, 1974
29 pages
Published in:
  • Phys.Rev.D 11 (1975) 831
Report number:
  • MIT-CTP-440

Citations per year

197519861997200820180123456
Abstract: (APS)
We calculate to order 1N the effective potential for two N-component massless fermion theories in two space-time dimensions. The order-one approximation to the effective potential predicts symmetry breaking for both theories. The order-1N approximation leads to discrete-symmetry violation, but the continuous-symmetry model is no longer broken, in agreement with a general theorem. The complete 1N expansion is then reformulated in terms of vacuum graphs involving resummed propagators and nonlocal vertices. The l th-order contribution then involves only a finite number of graphs, each having l loops.
  • FIELD THEORY: GOLDSTONE THEOREM
  • APPROXIMATION: EFFECTIVE POTENTIAL
  • POTENTIAL: CORRECTION
  • FERMION: MASSLESS
  • FEYNMAN GRAPH
  • SYMMETRY: MODEL
  • PROPAGATOR