Problems in quantum field theory : with fully-worked solutions

By: François GelisPublication details: Cambridge, UK: Cambridge University Press, [c2021]Description: 357 pISBN: 9781108972352Subject(s): Particle Physics and Nuclear Physics | Physics and Astronomy | Theoretical Physics | Mathematical Physics
Contents:
1 - Quantum Field Theory Basics 2 - Functional Methods 3 - Non-Abelian Fields 4 - Scattering Amplitudes 5 - Lattice, Finite T, Strong Fields
Summary: This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, for graduate students taking their first or second course in QFT. --- summary provided by publisher
List(s) this item appears in: New Arrivals
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1 - Quantum Field Theory Basics
2 - Functional Methods
3 - Non-Abelian Fields
4 - Scattering Amplitudes
5 - Lattice, Finite T, Strong Fields

This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, for graduate students taking their first or second course in QFT. --- summary provided by publisher

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