Standard Model anomalies in curved space-time with torsion

Sep, 1995
44 pages
Published in:
  • Phys.Rev.D 54 (1996) 5185-5194
e-Print:
Report number:
  • FT-UCM-8-95

Citations per year

19972004201120182023012345
Abstract:
Using the Fujikawa and the heat-kernel methods we make a complete and detailed computation of the global, gauge and gravitational anomalies present in the Standard Model defined on a curved space time with torsion. We find new contributions coming from curvature and torsion terms to the leptonic number anomaly (so that BLB-L is not conserved any more), to the U(1)YU(1)_Y gauge and to the mixed U(1)YU(1)_Y-gravitational anomalies, but the gauge anomaly cancellation conditions on the hypercharges remain the same. We also find that the condition, usually related to the cancellation of the mixed U(1)YU(1)_Y-gravitational anomaly, can be reobtained in the context of the Standard Model in flat space-time by requiring the cancellation of the global Lorentz anomaly without any reference to gravitation.
  • 11.30.Fs
  • 04.62.+v
  • electroweak interaction
  • anomaly: gauge
  • anomaly: gravitation
  • hypercharge
  • space-time: torsion
  • expansion: heat kernel
  • baryon: anomaly
  • lepton: anomaly