The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories. The theory of the RG consists of a set of concepts and methods which can be used to understand phenomena in many different ?elds of physics, ranging from quantum ?eld theory over classical statistical mechanics to nonequilibrium phenomena. RG methods are particularly useful to understand phenomena where ?uctuations involving many different length or time scales lead to the emergence of new collective behavior in complex many-body systems. In view of the diversity of ?elds where RG methods have been successfully applied, it is not surprising that a variety of apparently different implementations of the RG idea have been proposed. Unfortunately, this makes it somewhat dif?cult for beginners to learn this technique. For example, the ?eld-theoretical formulation of the RG idea looks at the ?rst sight rather different from the RG approach pioneered by Wilson, the latter being based on the concept of the effective action which is ite- tively calculated by successive elimination of the high-energy degrees of freedom. Moreover, the Wilsonian RG idea has been implemented in many different ways, depending on the particular problem at hand, and there seems to be no canonical way of setting up the RG procedure for a given problem.
The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.
The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.
This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics.
Peter Wien presents a provocative discussion on the history of Iraq and the growth of nationalism during the 1930s and early 1940s. He deconstructs the established view that a large proportion of the nationalist movement in Iraq during this period was heavily influenced by Nazi Germany, arguing that the admiration for Germany was highly nuanced, and only rarely translated into admiration for Nazism. National unity and patriotism were important, but models of leadership were overwhelmingly based on Iraqis and not Hitler. Analyzing the activities of the Iraqi youth and Jewish Iraqis, Iraqi Arab Nationalism gives an understanding of Iraqis from diverse backgrounds. It incorporates source material not previously used in discussions of Iraq and nationalism and contains autobiographical and biographical material from officers, intellectuals and politicians, along with contemporary journalistic writings, which sheds new light on Iraqi nationalism.
Well-considered answers to the many questions raised by the situation in Iraq, past and present, are rare. This first comprehensive, thematically organised, bibliography devoted to Iraq is based on the full Index Islamicus database and is drawn from a wide variety of European-language journals and books. Featuring an extensive introduction to the subject and its literature by Peter Sluglett, this bibliography will help readers to find their way through the massive secondary literature now available. Following the pattern established by the Index Islamicus, both journal articles and book publications are included, as well as important internet resources. The editors have taken care to add much new material to bring its coverage up to date, and supplement the previously published volumes, while the most important and/or influential publications are conveniently highlighted in the introduction. An indispensable gateway for all those with a more than superficial interest in what is, and what has been, happening in this nation so much the focus of attention today.
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