Faddeev-Popov technique in gauge field theories
Thesis/Dissertation
·
OSTI ID:5469017
The Faddeev-Popov technique is adapted to lattice gauge field theories. The formulation strongly suggests that the Faddeev-Popov formula, which has come into doubt since the discovery of Gribov ambiguities, is in fact correct. More precisely, is it shown that Gribov ambiguities can occur in the lattice theory, but that usually they do not affect the Faddeev-Popov formula; a method is given for determining when the lattice Faddeev-Popov formula is valid. The lattice theory is able to answer many questions that arise naturally in the continuum theory but that have remained unsettled up to now. It is shown that a formal limit of the lattice Faddeev-Popov formula yields the usual continuum formula. Some partial results are proved that bear on the problem of proving a rigorous continuum limit.
- Research Organization:
- British Columbia Univ., Vancouver (Canada)
- OSTI ID:
- 5469017
- Country of Publication:
- United States
- Language:
- English
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