Relativistic quantum field theory.

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"Version: 20191101"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Path integral formulation of quantum mechanics -- 1.1. The transition probability amplitude -- 1.2. Derivation of the quantum mechanical path integral -- 1.3. Path integral in terms of the Lagrangian -- 1.4. Computing simple path integrals -- 1.5. Calculating time-ordered expectation values -- 1.6. Adding sources -- 1.7. Asymptotic states and vacuum-vacuum transitions -- 1.8. Generating functional and Green's function for quadratic theories -- 1.9. Euclidean path integral and the statistical mechanics partition function2. Path integrals for scalar fields -- 2.1. Generating functional for a free real scalar field -- 2.2. Interacting real scalar field theory -- 2.3. Generating functional for connected diagrams -- 2.4. The self-energy -- 2.5. The effective action and vertex functions -- 2.6. Generating function for one-particle irreducible graphs -- 2.7. Interacting complex scalar fields3. Path integrals for fermionic fields -- 3.1. Finite-dimensional Grassmann algebra -- 3.2. Path integral for a free Dirac field -- 3.3. Path integral for an interacting Dirac field -- 3.4. Fermion loops4. Path integrals for abelian gauge fields -- 4.1. Free abelian gauge theory -- 4.2. The photon propagator -- 4.3. Generating functional for abelian gauge fields in general Lorenz gauge -- 4.4. Generating functional for QED in general Lorenz gauge -- 4.5. General Lorenz-gauge QED generating functional to O(e2) -- 4.6. QED effective action and vertex functions -- 4.7. Ward-Takahashi identities5. Groups and Lie groups -- 5.1. Group theory basics -- 5.2. Examples -- 5.3. Representations of groups -- 5.4. The group U(1) -- 5.5. The group SU(2) -- 5.6. The group SU(3) -- 5.7. The group SU(N) -- 5.8. The Haar measure6. Path integral formulation of quantum chromodynamics -- 6.1. The Fadeev-Popov method -- 6.2. QCD Feynman rules -- 6.3. Simple example application of the QCD Feynman rules -- 6.4. Becchi, Rouet, Stora, and Tyutin symmetry -- 6.5. Slavnov-Taylor identities7. Renormalization of QCD -- 7.1. Divergences in scalar field theories -- 7.2. Divergences in Yang-Mills theory -- 7.3. Dimensional regularization refresher -- 7.4. One-loop renormalization of QCD -- 7.5. The one-loop QCD running coupling8. Topological objects in field theory -- 8.1. The kinky sine-Gordon model -- 8.2. Two-dimensional vortex lines -- 8.3. Topological solutions in Yang-Mills -- 8.4. The instanton -- 8.5. The Potryagin index -- 8.6. Explicit solution for a q = 1 instanton -- 8.7. Quantum tunneling, [theta]-vacua, and symmetry breaking -- 8.8. Quantum anomalies -- 8.9. An effective Lagrangian for the anomaly -- 8.10. Instantons and the chiral anomaly -- 8.11. Perturbation theory for the chiral anomaly.Volume 2 of this three-part series presents the quantization of classical field theory using the path integral formalism. For this volume the target audience is students who wish to learn about relativistic quantum field theory applied to particle physics, however, it is still very accessible and useful for students of condensed matter. This volume begins with the introduction of the path integral formalism for non-relativistic quantum mechanics and then, using this as a basis, extends the formalism to quantum fields with an infinite number of degrees of freedom. Dr. Strickland then discusses how to quantize gauge fields using the Fadeev-Popov method and fermionic fields using Grassman algebra. He then presents the path integral formulation of quantum chromodynamics and its renormalization. Finally, he discusses the role played by topological solutions in non-abelian gauge theories. Part of IOP Series in Nuclear Medicine.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr. Strickland is a professor of physics at Kent State University. His primary interest is the physics of the quark-gluon plasma (QGP) and high-temperature quantum field theory (QFT). The QGP is predicted by quantum chromodynamics (QCD) to have existed until approximately 10-5seconds after the big bang. Dr. Strickland has published research papers on various topics related to the QGP, quantum field theory, relativistic hydrodynamics, and many other topics. In addition, he has co-written a classic text on the physics of neural networks.Title from PDF title page (viewed on December 9, 2019).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643277080

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530.12

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Subject(s)

SCIENCE / Physics / Quantum Theory.
Quantum field theory.
Relativistic quantum theory.

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Michael Strickland.

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