“…This brief introduction to Quantum Field Theory and the Standard Model con- tains the basic building blocks of perturbation theory in quantum field theory, an elementary introduction to gauge theories and the basic classical and quan- tum features of the electroweak sector of the Standard Model. …”
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“…Introduction: basic elements of quantum field theory, Feynman-Rules. Gauge theories with examples (QED, QCD). …”
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“…--HTML-->Hamiltonian Truncation (HT) is a numerical approach for calculating observables in a Quantum Field Theory non-perturbatively. This approach can be applied to theories constructed by deforming a conformal field theory with a relevant operator of scaling dimension ∆. …”
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“…--HTML-->Hamiltonian truncation is a non-perturbative numerical method for calculating observables of a quantum field theory by truncating the Hilbert space to states with energy below a maximum energy cutoff. …”
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“…--HTML-->Hamiltonian truncation methods represent a powerful toolbox for a set of problems that are otherwise very challenging in strongly coupled quantum field theory: nonequilibrium physics and real time evolution. …”
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“…The author begins with a stream-lined introduction to quantum field theory from a rather basic point of view. Functional integrals for imaginary-time-ordered expectations are introduced early and naturally, while the connection with the statistical mechanics of classical spin systems is introduced in a later chapter.A vastly simplified (wavelet) version of the celebrated Glimm-Jaffe construction of the F 4 3 quantum field theory is presented. …”
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“…In the dilute limit, quantum mechanics is shown to be a good approximation to Quantum Field Theory. Howe…”
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“…The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. …”
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“…These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory.   Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. …”
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“…A ${ \mathcal P }{ \mathcal T }$-symmetric reinterpretation of these models at a quantum-mechanical level eliminates these instabilities and suggests that these instabilities may also be tamed at the quantum-field-theory level.…”
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“…We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. …”
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“…This invaluable monograph has arisen in part from E Witten's lectures on topological quantum field theory in the spring of 1989 at Princeton University. …”
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“…Part Two introduces to relativistic quantum field theory, and ranges from symmetries in quantum physics to electroweak interactions. …”
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“…The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. …”
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“…They are supposed to be familiar with quantum electrodynamics, the concept of Feynman rules, Feynman graphs and compu- tation of the cross section in quantum field theory.…”
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“…Most significant among them were those that occurred, first, under the impact of Bohr's exchanges with Einstein and, second, under the impact of developments in quantum theory itself, both quantum mechanics and quantum field theory. The importance of quantum field theory for Bohr's thinking has not been adequately addressed in the literature on Bohr, to the considerable detriment to our understanding of the history of quantum physics. …”
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“…Contemporary quantum field theory is mainly developed as quantization of classical fields. …”
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“…Divided into three parts, it opens with an introduction to the general principles of relativistic quantum field theory followed by the essential ingredients of gauge fields for weak and electromagnetic interactions, quantum chromodynamics and strong interactions. …”
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“…The elementary particles of relativistic quantum field theory are not simple field quanta, as has long been assumed. …”
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“…To go beyond the g_s = 0 limit, we propose a topological quantum field theory as a twisted candidate. Our model involves the generalized octonionic or SU(4) instanton equations defined in eight dimensions for a supersymmetric U(N) Yang--Mills field living on a special holonomy manifold. …”
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