'All are every interesting topics treated with a high level of
mathematical sophistication. One of the very useful tricks the
author repeatedly resorts to is the introduction of one-parameter
families of operators interpolating between two operators which
appear naturally in the formalism. From this one-parameter family a
differential equation for the determinant (or ratio of
determinants) or for correlation functions is derived, which can
then be solved. This is a very simple, elegant and powerful
technique.'Mathematical Reviews ClippingsFunctional Integrals is a
well-established method in mathematical physics, especially those
mathematical methods used in modern non-perturbative quantum field
theory and string theory. This book presents a unique, original and
modern treatment of strings representations on Bosonic Quantum
Chromodynamics and Bosonization theory on 2d Gauge Field Models,
besides of rigorous mathematical studies on the analytical
regularization scheme on Euclidean quantum field path integrals and
stochastic quantum field theory. It follows an analytic approach
based on Loop space techniques, functional determinant exact
evaluations and exactly solubility of four dimensional QCD loop
wave equations through Elfin Botelho fermionic extrinsic self
avoiding string path integrals.
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