Algebraic renormalization

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This book originated from lectures at the Physics Department of the Catholic University of Petrópolis, Brazil, aiming to introduce the "algebraic" method in perturbative renormalization of relativistic quantum field theory. Although this approach dates back to Symanzik's pioneering work in the early 1970s and was systematized by Becchi, Rouet, and Stora between 1972-1974, its significance remains underappreciated among quantum field theory practitioners. Becchi, Rouet, and Stora demonstrated its effectiveness in proving the renormalizability of theories with (broken) symmetries and gauge theories. This book consolidates information on algebraic renormalization, previously scattered across various papers and older reviews, into a self-contained format. While tailored for a postgraduate (Ph.D.) audience, it will also benefit advanced researchers. The deeper understanding of renormalization theory that readers gain should assist them in tackling challenging quantum field theory problems. Additionally, it will be valuable for phenomenology-oriented readers seeking to familiarize themselves with renormalization formalism, essential for sophisticated perturbative calculations, particularly in the standard model of particle interactions.