منابع مشابه
Constructive Quantum Field Theory
The construction of a relativistic quantum field is still an open problem for fields in spacetime dimension d ≥ 4. The conceptual difficulty that sometimes led to fear an incompatibility between nontrivial quantum systems and special relativity has however been solved in the case of dimension d = 2, 3 although, so far, has not influenced the corresponding debate on the foundations of quantum me...
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The pioneering work of early non-relativistic quantum theory led to the understanding that quantum dynamics on Hilbert space is a comprehensive predictive framework for microscopic phenomena. From the Bohr atom, through the nonrelativistic quantum theory of Schrödinger and Heisenberg, and the relativistic Dirac equation for hydrogen, agreement between calculation and experiment improved rapidly...
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We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.
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Constructive field theory can be considered as a reorganization of perturbation theory in a convergent way. In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional φ field theory, in increasing order of sophistication and power.
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This paper is concerned with constructive and structural aspects of euclidean field theory. We present a C*-algebraic approach to lattice field theory. Concepts like block spin transformations, action, effective action, and continuum limits are generalized and reformulated within the C*-algebraic setup. Our approach allows to relate to each family of lattice models a set of continuum limits whi...
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ژورنال
عنوان ژورنال: Philosophy of Science
سال: 2017
ISSN: 0031-8248,1539-767X
DOI: 10.1086/690722