Conceptual Foundations of Quantum Field TheoryTian Yu Cao Quantum field theory is a powerful language for the description of the subatomic constituents of the physical world and the laws and principles that govern them. This book contains up-to-date in-depth analyses, by a group of eminent physicists and philosophers of science, of our present understanding of its conceptual foundations, of the reasons why this understanding has to be revised so that the theory can go further, and of possible directions in which revisions may be promising and productive. These analyses will be of interest to graduate students and research workers in physics who want to know about the foundational problems of their subject. The book will also be of interest to professional philosophers, historians and sociologists of science, because it contains much material for metaphysical and methodological reflections, for historical and cultural analyses, and for sociological analyses of the way in which various factors contribute to the way the foundations are revised. |
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Page 11
... distance . But in the theoretical system of point - like operator fields , the idea of local interactions requires that all primary quantities of interest should be expressed as the expectation values of operator products at the same ...
... distance . But in the theoretical system of point - like operator fields , the idea of local interactions requires that all primary quantities of interest should be expressed as the expectation values of operator products at the same ...
Page 12
... distances . 13 In addition , a new physics may still be required at least at large distances where the QCD coupling becomes very strong . Physically , the ultraviolet infinities have their origin in the hidden assumption that the bare ...
... distances . 13 In addition , a new physics may still be required at least at large distances where the QCD coupling becomes very strong . Physically , the ultraviolet infinities have their origin in the hidden assumption that the bare ...
Page 13
... distance . This decay is indicative of a weaker sense of locality and establishes the effective decoupling of different ... distances suggests a deep linkage of the behavior of fields across disparate ( length or equivalently energy ) ...
... distance . This decay is indicative of a weaker sense of locality and establishes the effective decoupling of different ... distances suggests a deep linkage of the behavior of fields across disparate ( length or equivalently energy ) ...
Page 14
... distance behavior of QED and , in particular , QCD interactions . The power of the renormalization group equations thus established can be greatly enhanced if they are formulated , in accordance with the spirit of the algebraic approach ...
... distance behavior of QED and , in particular , QCD interactions . The power of the renormalization group equations thus established can be greatly enhanced if they are formulated , in accordance with the spirit of the algebraic approach ...
Page 17
... distances , is required . This stance is justified by the fact that each EFT has a well - defined validity domain delineated by a characteristic energy scale associated with a relevant spontaneous symmetry breaking , and thus any ...
... distances , is required . This stance is justified by the fact that each EFT has a well - defined validity domain delineated by a characteristic energy scale associated with a relevant spontaneous symmetry breaking , and thus any ...
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algebra amplitude approach argument Ashtekar asymptotic basic classical concept condensed matter physics critical phenomena critical point defined degrees of freedom described Dirac discussion dynamics effective field theories Einstein electrodynamics electromagnetic electrons entities equations example exponents fact fermions Feynman diagrams finite Fisher fixed point Fock space formulation framework function gauge theories geometry gravitational field Gross Hamiltonian Hilbert space idea infinite number infinities interactions intrinsic Jackiw Kadanoff Lagrangian Landau lattice Lorentz invariance low energy manifold mathematical mean measure metric nature observables ontology operator parameters particle physics perturbation philosophers photons Phys physicists problem properties quantization quantum field theory quantum gravity quantum mechanics quantum theory quarks quasi-set question relations relativistic relativity renormalizable renormalization group RG theory S-matrix scale dependence Schrödinger sense solenoid space-time spin standard model statistical mechanics string theory structure supersymmetry symmetry theoretical theorists tion transformations understanding University vacuum variables vector Weinberg Wilson zero
References to this book
The Structural Foundations of Quantum Gravity Dean Rickles,Steven French,Juha T. Saatsi No preview available - 2006 |