In this lecture notes, we discuss canonical transformations in the context of Quantum FieldTheory (QFT).The aim is not that of give a complete and exhaustive treatment of canonical transformationsfrom a mathematical point of view. Rather, we will try to show, through some concrete examples,the physical relevance of these transformations in the framework of QFT.This relevance is on two levels: a formal one, in which canonical transformations are an importanttool for the understanding of basic aspects of QFT, such as the existence of inequivalentrepresentations of the canonical commutation relations (see x1.2) or the way in which symmetrybreaking occurs, through a (homogeneous or nonhomogeneous) condensation mechanism (seeSection 4), On the other hand, they are also useful in the study of specific physical problems,like the superconductivity (see x2.2) or the field mixing (see Section 5).

Authors: Blasone M.  Pages: 70 
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