Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-14
Physics
High Energy Physics
High Energy Physics - Theory
Invited lectures at the Workshop on the Exact Renormalization Group, Faro, Portugal, Sept. 10-12, 1998. 32 pages including 24
Scientific paper
In these lectures we describe the construction of a gauge invariant renormalization group equation for pure non-Abelian gauge theory. In the process, a non-perturbative gauge invariant continuum Wilsonian effective action is precisely defined. The formulation makes sense without gauge fixing and thus manifest gauge invariance may be preserved at all stages. In the large N limit (of SU(N) gauge theory) the effective action simplifies: it may be expressed through a path integral for a single particle whose trajectory describes a Wilson loop. Regularization is achieved with the help of a set of Pauli-Villars fields whose formulation follows naturally in this picture. Finally, we show how the one loop beta function was computed, for the first time without any gauge fixing.
No associations
LandOfFree
A manifestly gauge invariant exact renormalization group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A manifestly gauge invariant exact renormalization group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A manifestly gauge invariant exact renormalization group will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-236095