TY - JOUR
T1 - Migdal-Kadanoff recursion relations in SU(2) and SU(3) gauge theories
AU - Nauenberg, Michael
AU - Toussaint, Doug
N1 - Funding Information:
We would like to thank John Cardy, L.P, Kadanoff, R.B. Pearson, and P. Menotti for helpful discussions. This work was supported by the National Science Foundation under contract nos. PHY77-27084, PHY78-08439 and PHY78-22253.
PY - 1981/7/6
Y1 - 1981/7/6
N2 - We study the Migdal recursion relations and the reformulation due to Kadanoff for SU(2) and SU(3) lattice gauge theory, using analytic approximations for large and small couplings and numerical methods for all couplings. In SU(2) we obtain the beta function and the expectation value of the plaquette, which is compared with recent Monte Carlo results. In analogy to U(1), we find that a Villain form (periodic gaussian) for the exponential of the plaquette action is a good approximation to the result of the Migdal renormalization transformation. We also perform some calculations in SU(3) and find that its behavior is similar to SU(2).
AB - We study the Migdal recursion relations and the reformulation due to Kadanoff for SU(2) and SU(3) lattice gauge theory, using analytic approximations for large and small couplings and numerical methods for all couplings. In SU(2) we obtain the beta function and the expectation value of the plaquette, which is compared with recent Monte Carlo results. In analogy to U(1), we find that a Villain form (periodic gaussian) for the exponential of the plaquette action is a good approximation to the result of the Migdal renormalization transformation. We also perform some calculations in SU(3) and find that its behavior is similar to SU(2).
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U2 - 10.1016/0550-3213(81)90491-0
DO - 10.1016/0550-3213(81)90491-0
M3 - Article
AN - SCOPUS:12144261831
SN - 0550-3213
VL - 190
SP - 217
EP - 235
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1
ER -