Mercy

Matthew 9:9-1

Erwin Buck: professor, pastor, linguist, exegete, churchman, friend

Issue topic: Festschrift in honour of Erwin Buck

Remember me

Sermon for All Saints

Emergence of the Haar measure in the standard functional integral representation of the Yang-Mills partition function

The conventional path integral expression for the Yang-Mills transition amplitude with flat measure and gauge-fixing built in via the Faddeev-Popov method has been claimed to fall short of guaranteeing gauge invariance in the non-perturbative regime. We show, however, that it yields the gauge invariant partition function where the projection onto gauge invariant wave functions is explicitly performed by integrating over the compact gauge group. In a variant of maximal Abelian gauge the Haar measure arises in the conventional Yang-Mills path integral from the Faddeev-Popov determinant.Comment: 14 pages, LaTeX, no figure

Magnetic Monopoles and the Topology of Gauge Fields

Lattice calculations performed in Abelian gauges give strong evidence that confinement is realized as a dual Meissner effect, implying that the Yang--Mills vacuum consists of a condensate of magnetic monopoles. We show in Polyakov gauge how the Pontrjagin index of the gauge field is related to the magnetic monopole charges.Comment: 4 pages, uses unicrc.sty and bbm.sty (included). Talk presented at the Int. Conf. QCD--98, Montpellier, July 199