We investigate the construction of improved actions by the Monte Carlo renormalization group method in the context of SU(2) gauge theory utilizing different decimation procedures and effective actions. We demonstrate that the basic self-consistency requirement for correct application of the Monte Carlo renormalization group, i.e., that the decimated… (More)
We consider the entanglement entropy for a subsystem in d + 1 dimensional SU (N) lattice gauge theory. The 1 + 1 gauge theory is treated exactly and shows trivial behavior. Gauge theories in higher dimensions are treated within Migdal-Kadanoff approximation. We consider the gauge theory in the confinement phase. We demonstrate the existence of a… (More)
We examine SU (2) gauge theory in 3 + 1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction (Nτ = 1, 2, 4, 8) we extract high precision values of the inverse critical coupling and critical values of the 4-th order cumulant of Polyakov loops (Binder cumulant). We check the universality class of the… (More)
We report on numerical studies of RG decimations in SU(2) gauge theory. We study in particular a class of plaquette actions involving sums of group representations. We measure a number of observables representative of different length scales in order to investigate the transformation of the system under different choices of spin blocking, and examine the… (More)
The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1 + 1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase transition for a characteristic size of the entangled region is demonstrated for higher dimensional theories.
In SU(3) simulations with the model A (Glauber) dynamics we find unambiguous signal for the transition when the (driving) temperature T f is larger than T c. A dynamical growth of Polyakov loop structure factors, reaching maxima which scale approximately with the volume of the system, precedes equilibration. We study their influence on various observables,… (More)
A new method of constructing a weak coupling expansion of two dimensional (2D) models with an unbroken continuous symmetry is developed. The method is based on an analogy with the abelian XY model, respects the Mermin-Wagner (MW) theorem and uses a link representation of the partition and correlation functions. An expansion of the free energy and of the… (More)
The Office of Graduate Studies has verified and approved the above named committee members. ii ACKNOWLEDGEMENTS I would like to express my sincere gratitude to those who helped me to develop as a scientist, in particular, Prof. Bernd Berg, who directed my research through all my years of graduate studies. I am very grateful to him for all his effort and… (More)