Topics in loop space
Thesis/Dissertation
·
OSTI ID:5879564
Several topics are considered in the loop space formulation of non-abelian gauge theories. The renormalization group equations for loops with cross points are derived and their exact behavior as the length approaches zero is determined. An explicit calculation is done in the U(2) theory. Next we sketch the general proof of the Migdal-Makeenko equation and show its validity explicitly in a detailed calculation to 4th order in perturbation theory. Then we consider the connection between Migdal-Makeenko equations and Mandelstam constraints in two dimensions. We show how the latter follow automatically from the equations and therefore do not have to be imposed upon the Wilson loops by hand. Finally in the last chapter we derive the finite temperature Schwinger-Dyson equations to leading and next to leading order and use them to make interesting observations about large N gauge theory at finite temperature. We conclude that the deconfining phase transition at large N is 1st order.
- Research Organization:
- New York Univ., NY (USA)
- OSTI ID:
- 5879564
- Country of Publication:
- United States
- Language:
- English
Similar Records
Large-N quantum chromodynamics at finite temperature
Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory
Nonperturbative approach to Yang-Mills theories in the continuum. II. Considerations away from strong coupling
Journal Article
·
Sun Apr 10 23:00:00 EST 1983
· Phys. Rev. Lett.; (United States)
·
OSTI ID:6032672
Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory
Journal Article
·
Sat Nov 14 23:00:00 EST 1987
· Phys. Rev. D; (United States)
·
OSTI ID:5711329
Nonperturbative approach to Yang-Mills theories in the continuum. II. Considerations away from strong coupling
Journal Article
·
Sat Feb 14 23:00:00 EST 1987
· Phys. Rev. D; (United States)
·
OSTI ID:6924346