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Exact renormalization group and loop equation

Shinji Hirano
(
- Santa Barbara, KITP
)

Oct, 1999

11 pages

Published in:

Phys.Rev.D 61 (2000) 125011

e-Print:

hep-th/9910256 [hep-th]

DOI:

10.1103/PhysRevD.61.125011

Report number:

NSF-ITP-99-128

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Abstract:

We propose a gauge invariant formulation of the exact renormalization group equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the construction by Tim Morris. In fact we show that our renormalization group equation amounts to a regularized version of the loop equation, thereby providing a direct relation between the exact renormalization group and the Schwinger-Dyson equations. We also discuss a possible implication of our formulation to the holographic correspondence of the bulk gravity and the boundary gauge theory.

Note:

13 pages, Latex, References added. An error in eq. (6) fixed and a few corrrections accordingly. Results unchanged Report-no: NSF-ITP-99-128

gauge field theory: U(N)
perturbation theory: higher-order
renormalization group
Wilson loop
loop space
path integral

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