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This monograph presents recent developments in quantum field theory at finite temperature. By using Lie groups, ideas from thermal theory are considered with concepts of symmetry, allowing for applications not only to quantum field theory but also to transport theory, quantum optics and statistical mechanics. This includes an analysis of geometrical and topological aspects of spatially confined systems with applications to the Casimir effect, superconductivity and phase transitions. Finally, some developments in open systems are also considered. The book provides a unified picture of the funda
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By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to expose the issues in a self-consistent way. These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.
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Liquid helium. --- Quantum liquids. --- Condensed matter. --- Quantum field theory.
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The Transparent Becoming of World undertakes a penetrating inquiry into the quotidian world we take for granted and the brain that silently hoists our bubbles of world-thrownness. After critiquing the traditional views of direct realism, indirect realism and idealism, the continual becoming of world is explained by a novel integration of process dynamics, as formulated by Whitehead, Heidegger and Bohm, with the burgeoning field of quantum neurophilosophy. A rich ontological duality newly opened by quantum brain theory is exploited: the "between-two" of dual quantum modes. Existence as world-thrownness is between-two in waking and dreaming alike. This highly original interdisciplinary book may be of interest to philosophers, psychologists, neuroscientists, consciousness researchers, indeed anyone attracted to the enigma of their own lived existence. (Series A).
Mind and reality. --- Process philosophy. --- Quantum field theory. --- Neuropsychology --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Change --- Philosophy --- Reality and mind --- Reality --- Philosophy.
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For more than 70 years, quantum field theory (QFT) can be seen as a driving force in the development of theoretical physics. Equally fascinating is the fruitful impact which QFT had in rather remote areas of mathematics. The present book features some of the different approaches, different physically viewpoints and techniques used to make the notion of quantum field theory more precise. For example, the present book contains a discussion including general considerations, stochastic methods, deformation theory and the holographic AdS/CFT correspondence. It also contains a discussion of more recent developments like the use of category theory and topos theoretic methods to describe QFT. The present volume emerged from the 3rd 'Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: 'To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics'.
Quantum field theory. --- Quantum field theory --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Mathematical physics. --- Physical mathematics --- Relativistic quantum field theory --- Mathematics --- Physics. --- Quantum physics. --- Quantum Physics. --- Mathematical Methods in Physics. --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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In life and work, Claudio Bunster (formerly Teitelboim) prefers extreme challenges. Bunster, a physicist who contemplates brain-warping theories of space and time, returned to his native Chile from the United States precisely when most intellectuals would have stayed clear— during the middle of the Pinochet dictatorship (K. Mossman, Proceedings of the National Academy of Sciences) Against this backdrop, Bunster founded the Centro de Estudios Científicos (CECS), a world class institute for frontier science research in Chile. His mentor, John A. Wheeler often used Teddy Roosevelt’s advice, "Do what you can, where you are, with what you have." "I followed his advice," said Bunster. "At latitude 40°S there is a science institute where one can find the footprints of Wheeler in every corner." As a true pioneer, Bunster was ahead of his time, opening roads, pushing the frontiers, under extreme conditions, in unexplored environments. Throughout his career, black holes, monopoles, the Antarctic vastness and the entire universe, have been the objects of his fascination: extreme, simple objects where beauty is best captured and displayed. On 10 and 11 January 2008, the meeting Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity –Claudio’s Fest took place in Valdivia to celebrate Claudio Bunster’s 60th birthday. This volume collects the contributions that were discussed at this meeting by many of Bunster’s colleagues and longtime collaborators. Articles by L. Brink, S. Carlip, F. Englert, S. Hawking, M. Henneaux, C.W. Misner and L. Susskind, among others, highlight the broad impact of Bunster, providing unique insightful views on many topics addressed by him in his scientific career, ranging from black holes and symmetries in gravity and supergravity, to cosmology. The meeting was co-organized by the CECS and the International Solvay Institutes.
Physics. --- Quantum theory. --- Teitelboim, Claudio. --- Quantum theory --- Physics --- Atomic Physics --- Physical Sciences & Mathematics --- Natural philosophy --- Philosophy, Natural --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Teitelboim Weitzmann, Claudio --- Weitzmann, Claudio Teitelboim --- Bunster, Claudio --- Gravitation. --- Quantum physics. --- Elementary particles (Physics). --- Quantum field theory. --- Elementary Particles, Quantum Field Theory. --- Quantum Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Physical sciences --- Dynamics --- Mechanics --- Thermodynamics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Relativistic quantum field theory --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Properties
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This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be successfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book self-contained and thus suitable for advanced graduate students.
Quantum field theory --- Scattering (Physics) --- Perturbation (Quantum dynamics) --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Quantum field theory. --- Spectral theory (Mathematics) --- Relativistic quantum field theory --- Physics. --- Quantum physics. --- Elementary particles (Physics). --- Elementary Particles, Quantum Field Theory. --- Quantum Physics. --- Numerical and Computational Physics. --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Quantum theory. --- Numerical and Computational Physics, Simulation. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics
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By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to expose the issues in a self-consistent way. These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.
Physics. --- Elementary particles (Physics). --- Quantum field theory. --- Elementary Particles, Quantum Field Theory. --- Mathematical Methods in Physics. --- Gauge fields (Physics) --- Renormalization (Physics) --- Charge and mass renormalization --- Mass and charge renormalization --- Relativistic quantum field theory --- Fields, Gauge (Physics) --- Gage fields (Physics) --- Gauge theories (Physics) --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Electric charge and distribution --- Mass (Physics) --- Physical measurements --- Quantum field theory --- Group theory --- Symmetry (Physics) --- Quantum theory. --- Mathematical physics. --- Physical mathematics --- Physics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics
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"Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory. It introduces Conformal Field Theory at a basic level, Kac-Moody algebras, one-loop partition functions, Superconformal Field Theories, Gepner Models and Boundary Conformal Field Theory." "Eventually, the concept of orientifold constructions is explained in detail for the example of the bosonic string." "In providing many detailed CFT calculations, this book is ideal for students and scientists intending to become acquainted with CFT techniques relevant for string theory but also for students and non-specialists from related fields."--Jacket.
kwantumleer --- astronomy --- Cosmology --- Theory of relativity. Unified field theory --- Mathematical physics --- elementaire deeltjes --- Astrophysics --- Elementary particles --- relativiteitstheorie --- kosmologie --- astrofysica --- wiskunde --- astrophysics --- Physics --- fysica --- Conformal invariants --- Quantum field theory --- String models --- Invariants conformes --- Théorie quantique des champs --- Modèles des cordes vibrantes (Physique nucléaire) --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Quantum theory --- Relativity (Physics) --- Conformal invariants. --- Konforme Feldtheorie. --- Quantum field theory. --- String models.
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Black Holes are still considered to be among the most mysterious and fascinating objects in our universe. Awaiting the era of gravitational astronomy, much progress in theoretical modeling and understanding of classical and quantum black holes has already been achieved. The present volume serves as a tutorial, high-level guided tour through the black-hole landscape: information paradox and blackhole thermodynamics, numerical simulations of black-hole formation and collisions, braneworld scenarios and stability of black holes with respect to perturbations are treated in great detail, as is their possible occurrence at the LHC. An outgrowth of a topical and tutorial summer school, this extensive set of carefully edited notes has been set up with the aim of constituting an advanced-level, multi-authored textbook which meets the needs of both postgraduate students and young researchers in the fields of modern cosmology, astrophysics and (quantum) field theory.
Black holes (Astronomy) --- Astrophysics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Physics. --- Quantum field theory. --- String theory. --- Gravitation. --- Astrophysics. --- Elementary particles (Physics). --- Classical and Quantum Gravitation, Relativity Theory. --- Quantum Field Theories, String Theory. --- Astrophysics and Astroparticles. --- Elementary Particles, Quantum Field Theory. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Astronomical physics --- Astronomy --- Cosmic physics --- Models, String --- String theory --- Nuclear reactions --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties
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