Improved Hamiltonian for Minkowski Yang-Mills theory

May, 1996
34 pages
Published in:
  • Nucl.Phys.B 480 (1996) 689-728
e-Print:
Report number:
  • PUPT-1618,
  • PUP-TH-1618

Citations per year

1996200320102017202402468
Abstract:
I develop an improved Hamiltonian for classical, Minkowski Yang-Mills theory, which evolves infrared fields with corrections from lattice spacing aa beginning at O(a 4)O(a~4). I use it to investigate the response of Chern-Simons number to a chemical potential, and to compute the maximal Lyapunov exponent. Both quantities have small aa limits, but the values of the limits differ from those found under the unimproved Hamiltonian, indicating that the theory suffers from lattice artefacts which do not vanish in the small aa limit.
Note:
  • Latex, 34 pages, with 2 figures Report-no: PUP-TH-1618
  • 11.10.Wx
  • 11.15.Ha
  • 11.15.Kc
  • 11.30.Fs
  • Sphaleron
  • Classical Minkowski field theory
  • Topology change
  • Lattice gauge theory
  • gauge field theory: SU(2)
  • space-time: Minkowski