Relativistic quantum field theory
by Strickland, M. T., (Michael Thomas)
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 form…
Read More ↓Title Statements
- Full title :Relativistic quantum field theory. / Michael Strickland.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2019
Publication Statements
- Publisher(s):Morgan & Claypool Publishers
- Place of Publication:San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA)
- Language:eng
- Publication Date:2019
Notes
"Version: 20191101"--Title page verso
Title from PDF title page (viewed on December 9, 2019).
The Physical Object
- Description:1 online resource : : illustrations (some color)
Edition Identifiers
- ISBN:1643277081, 9781643277066, 1643277065, 9781643277080
- DOI:10.1088/2053-2571/ab3108
- oclc:on1130295083
- LC Classification:QC174.24.R4
- Dewey Decimal:530.12
Table of Contents
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 function
2. 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 fields
3. 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 loops
4. Path integrals for abelian gauge fields -- 4.1. Free abelian gauge theory -- 4.2. The p…
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