Aspects of Quantum Field Theories on Lattice: Nonperturbative studies on pure U(1) and Phi-4 theory

This book is intended for a beginner in Lattice Gauge Theory or even an outsider willing to get a quick glimpse of the subject. It provides a quick and simple outline of the nonperturbative formulation of Quantum Field Theory using a space-time lattice and Monte Carlo Simulation techniques. The introduction comprising the first twenty pages or so constitute the most useful part of this work where the basic formalism and its logical basis is briefly outlined with due emphasis on the extraction of continuum limit and connection to phenomenology. The rest of the book serves to provide illustrations, in rather simple and familiar settings, of how some of the aspects of the formalism are carried out in practice. The reader will also, hopefully, find the appendices useful. In particular, the section on estimators and uncertainties is of practical value and fundamental importance to the technique discussed here.