“…In the second part of the talk we will discuss how a novel class of controlled irrelevant deformations in quantum field theory are key for a holographic formulation of de Sitter and an explanation of its entropy.…”
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“… It is a beautiful quantum field theory, consistent at all energies, all temperatures, and all densities. …”
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“…The final paper presents an extensive survey of problems related to the spectrum of finite-particle lattice Hamiltonians, which arise in quantum field theory and in models in the theory of solid bodies. …”
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“…We perform some checks of that formula and wecompare it with quantum field theory expectations. We discuss alternativedefinitions of the c-function. …”
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“…Furthermore, the natural framework for the description of these interactions is relativistic quantum field theory. (54 refs).…”
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“…Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. …”
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“…After a brief historical review of the emergence of QCD as the quantum field theory of strong interactions, the basic notions of colour and gauge invariance are introduced leading to the QCD Lagrangian. …”
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“…This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. …”
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“…These proceedings contain lectures on quantum field theory, quantum chromodynamics, flavour physics and CP-violation, physics beyond the Standard Model, neutrino physics, particle cosmology, ultrahigh-energy cosmic rays and heavy-ion physics, as well as a presentation of recent results from the Large Hadron Collider (LHC) and a short introduction to the principles of particle physics instrumentation.…”
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“…It aims to deliver a unique combination of classical and quantum field theory in one compact course.…”
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“…In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.…”
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“…Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many body physics before developing the path integral approach to interacting systems. …”
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“…We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. …”
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“…The book contains a collection of the lectures and talks presented in the Tohoku Forum for Creativity, based on the program of the thematic year in the period of 2014-2016.The main subjects are Noncommutative Geometry and String Theory, including Quantum Field Theory, Poisson Geometry and Deformation Quantization. …”
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“…--HTML--><p>How can it be that a local quantum field theory in some number of spacetime dimensions can "fake" a local gravitational theory in a higher number of dimensions?…”
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“…The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. …”
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“…This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and the electroweak interactions of elementary particles. Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. …”
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“…I will discuss recent developments in various generalizations of global symmetries and their applications in quantum field theory, condensed matter physics, and quantum gravity.…”
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“…&nbsp;We also show that this modification has a simple embedding in local quantum field theory. &nbsp;While the physical effects are dramatic, they are also fickle, in that their strength depends on the cosmological history of the wave function of the universe. …”
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