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“…Talks on the simplest quantum field theory, fermonic t-duality and dual superconformal symmetry of scattering amplitudes in N=4 SYM…”
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“…This monograph is devoted to the systematic and encyclopedic presentation of the foundations of quantum field theory. It represents mathematical problems of the quantum field theory with regardto the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 20th century on the basis of rigorous mathematical tools of the functional analysis, the theory of operators, and the theory of generalized functions. …”
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“…Physicists who know quantum field theory can learn the powerful methodology of mathematical structure, while mathematicians can position themselves to use the magical ideas of quantum field theory in "mathematics" itself. …”
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“…On the one hand, various workers in quantum field theory were continuing to make startling progress in different directions. …”
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“…These proceedings contain lecturenotes on quantum field theory and the electroweak Standard Model, the theory of quantum chromodynamics,flavour physics and CP violation, neutrino physics, heavy-ion physics, cosmology and a brief introduction tothe principles of instrumentation and detectors for particle physics.…”
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“…The resulting quantum field theory is called Thermo Field Dynamics (TFD).…”
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“…The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. …”
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“…In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. …”
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“…These mathematical tools have been applied to study problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and electrodynamics. …”
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“…The book will be of interest to graduate students of mathematics as well as to students of the natural sciences who want to learn quantum field theory from a mathematical point of view. It begins with abstract compactness arguments in Hilbert spaces and definitions of fundamental facts of quantum field theory: boson Fock spaces, creation operators, annihilation operators, and second quantization. …”
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“…For non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. …”
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“…The focus lies on the most important discoveries and developments, e.g. of quantum field theory, gauge theories and the future of particle physics. …”
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“…In this Letter, we self-consistently couple the Einstein-inflaton equations to a strongly coupled quantum field theory as described by holography. We show that this leads to an inflating universe, a reheating phase, and finally a universe dominated by the quantum field theory in thermal equilibrium.…”
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“…A candidate for the confining string of gauge theories is constructed via a representation of the ultraviolet divergences of quantum field theory by a closed string dilaton insertion, computed through the soft dilaton theorem. …”
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“…In particular the first part of this book is devoted to Constructive Quantum Field Theory, providi…”
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