Effective potential for classical Yang--Mills fields as outline for bifurcation on gauge orbit space
Journal Article
·
· Ann. Phys. (N.Y.); (United States)
Classical Yang--Mills (Y.M.) equations with static external sources are formulated as a Hamiltonian system with gauge symmetry in A/sub 0/ = 0 gauge. Using the concept of a ''momentum mapping'' (J. Marsden and A. Weinstein, Rep. Math. Phys. 5 (1974), 121) on sympletic manifolds with symmetry, an analogue of centrifugal potential of a mass point in a critical points are rigorously proved to be in one-to-one correspondence with static Y.M. solutions. V/sub eff/ additionally depends on the prescribed external source rho, which is as a constant of motion analogous to angular moment of the mass point. Thus bifurcation of static solutions is caused by bifurcation of critical points of V/sub eff/ under variation of the external parameter rho. Some closing remarks on dynamics and stability on gauge orbit space are added.
- Research Organization:
- Max-Planck-institut fuer Physik und Astrophysik, Werner-Heisenberg-institut fuer Physik, Munich, Federal Republic of Germany
- OSTI ID:
- 5455588
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 149:1; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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