Download or read book Critical Properties of Greek Letter Phi 4 theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-î dimensions, where they possess pole terms in 1/î. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Pad and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent à governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-î dimensions, and improved ratio tests in high-temperature expansions of lattice models.
Download or read book The Fate of Reason written by Frederick C. Beiser and published by Harvard University Press. This book was released on 2009-07-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fate of Reason is the first general history devoted to the period between Kant and Fichte, one of the most revolutionary and fertile in modern philosophy. The philosophers of this time broke with the two central tenets of the modem Cartesian tradition: the authority of reason and the primacy of epistemology. They also witnessed the decline of the Aufkldrung, the completion of Kant's philosophy, and the beginnings of post-Kantian idealism. Thanks to Beiser we can newly appreciate the influence of Kant's critics on the development of his philosophy. Beiser brings the controversies, and the personalities who engaged in them, to life and tells a story that has uncanny parallels with the debates of the present.
Download or read book Critical Theory written by Max Horkheimer and published by A&C Black. This book was released on 1972-01-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: These essays, written in the 1930s and 1940s, represent a first selection in English from the major work of the founder of the famous Institute for Social Research in Frankfurt. Horkheimer's writings are essential to an understanding of the intellectual background of the New Left and the to much current social-philosophical thought, including the work of Herbert Marcuse. Apart from their historical significance and even from their scholarly eminence, these essays contain an immediate relevance only now becoming fully recognized.
Download or read book Critical Properties Of Phi4 Theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001-07-30 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-ε dimensions, where they possess pole terms in 1/ε. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Padé and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent α governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-ε dimensions, and improved ratio tests in high-temperature expansions of lattice models.
Download or read book Catalogue of All Books in the Circulating and Reference Departments of the Public School Library Columbus written by Columbus (Ohio). Public School Library and published by . This book was released on 1897 with total page 1204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Glasgow Mechanics Institution Library with the Constitution and Rules written by Glasgow Mechanics Institution (GLASGOW) and published by . This book was released on 1848 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Emergence of German Idealism written by Michael Baur and published by CUA Press. This book was released on 2018-03-02 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Immanuel Kant's "critical philosophy" is rightly renowned for its criticism of the metaphysical pretensions of reason unaided by experience. It therefore seems ironic that, within a single generation, some of Kant's most important followers argued that th
Download or read book Encyclopaedia Londinensis written by John Wilkes and published by . This book was released on 1812 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reality and Negation Kant s Principle of Anticipations of Perception written by Marco Giovanelli and published by Springer Science & Business Media. This book was released on 2010-11-18 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant, in the Critique of pure reason, only dedicates a few pages to the principle of Anticipations of Perception and only a few critical studies are outspokenly dedicated to this issue in recent critical literature. But if one considers the history of post-Kantian philosophy, one can immediately perceive the great importance of the new definition of the relationship between reality and negation, which Kant’s principle proposes. Critical philosophy is here radically opposed to the pre-critical metaphysical tradition: "Reality" no longer appears as absolutely positive being, which excludes all negativity from itself, and "negation" is not reduced to being a simple removal, the mere absence of being. Instead, reality and negation behave as an equally positive something in respect to one another such that negation is itself a reality that is actively opposed to another reality. Such a definition of the relation between reality and negation became indispensible for post-Kantian Philosophy and represents a central aspect of Kantian-inspired philosophy in respect to Leibnizian metaphysics. The present work therefore departs from the hypothesis that the essential philosophical importance of the Anticipations of Perception can only be fully measured by exploring its impact in the Post-Kantian debate.
Download or read book The Principle of Political Hope written by Loren Goldman and published by Oxford University Press. This book was released on 2023 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides an action-theoretic view of political hope that draws on German idealism, critical theory, and American pragmatism. It offers an alternative to standard perspectives that reduce hope to either a subjective element of individual psychology or to the passive anticipation of the supposedly objective tendencies of the world itself. Featuring chapters on Immanuel Kant, Ernst Bloch, Charles Peirce, and William James, it presents hope instead as a practice of political action that both buttresses and promotes democratic experimentation. By reconstructing hope as a necessary condition for social and political engagement, it furthermore argues for the centrality of utopian thinking for practical action"--
Download or read book The Monthly Magazine written by and published by . This book was released on 1800 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant s Philosophy of Physical Science written by Robert E. Butts and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are offered in celebration of the 200th anni versary of the pub 1 i cat i on of Inmanue 1 Kant's The MetaphysicaL Foundations of NatupaL Science. All of the es says (including the Introduction) save two were written espe ci ally for thi s volume. Gernot Bohme' s paper is an amended and enlarged version of one originally read in the series of lectures and colloquia in philosophy of science offered by Boston University. My own paper is a revised and enlarged version (with an appendix containing completely new material) of one read at the biennial meeting of the Philosophy of Sci ence Association held in Chicago in 1984. Why is it important to devote this attention to Kant's last published work in the philosophy of physics? The excellent essays in the volume will answer the question. I will provide some schematic com ments designed to provide an image leading from the general question to its very specific answers. Kant is best known for hi s monumental Croitique of Pure Reason and for his writings in ethical theory. His "critical" philosophy requires an initial sharp division of knowledge into its theoretical and practical parts. Moral perfection of attempts to act out of duty is the aim of practical reason. The aim of theoretical reason is to know the truth about ma terial and spiritual nature.
Download or read book A dictionary of the English language written by Alexander Reid and published by . This book was released on 1844 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book MLN written by and published by . This book was released on 1892 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides image and full-text online access to back issues. Consult the online table of contents for specific holdings.
Download or read book The Vocabulary of Philosophy Mental Moral and Metaphysical written by William Fleming and published by . This book was released on 1860 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book University of Wisconsin Studies in Language and Literature written by University of Wisconsin and published by . This book was released on 1922 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maimon s Essay on a New Logic Or Theory of Thinking written by Timothy Franz and published by Oxford University Press. This book was released on 2024-09-09 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Essay on a New Logic or Theory of Thinking, originally published in Berlin in 1794, was Salomon Maimon's hard-won success after a lifetime's pursuit of philosophical wisdom, Timothy Franz presents its first English translation. Franz translates the entirety of the New Logic, Maimon's Letters to Aenesidemus, two hostile reviews he vigorously annotated, and his letters to Kant, Reinhold, and Fichte about the work. Franz prefaces the text with a new history of Maimon's unique philosophical development, an introduction that discusses Maimon's relation to Kant, and a commentary that reconciles Maimon's idiosyncratically disjointed style with his unified vision of a systematic philosophy of reflection. This makes Maimon's work available for further study.
