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Quantum Field Theory

by Fritzsch Harald

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From fields to the Standard Model

$73.78 USD
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Hardcover New English

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AlbakiReads Editorial

From fields to the Standard Model

Harald Fritzsch’s introduction builds toward the Standard Model through a sequence of foundational topics: classical and relativistic mechanics, classical fields, electrodynamics, and quantum mechanics, followed by the quantization of scalar, spinor, and vector fields. The later chapters turn to gauge theories, with detailed attention to quantum electrodynamics and quantum chromodynamics, then the electroweak interactions and the proposed symmetry breaking associated with the weak bosons’ masses. The book also considers grand unification, discussing theories based on SU(5) and SO(10). Its 160-page scope connects core formal frameworks with the particle interactions they are used to describe.

Good fit for readers who enjoy

  • Readers seeking an introduction that develops quantum field theory from mechanics and quantum mechanics.
  • Students or general readers interested in gauge theories, QED, QCD, and electroweak interactions.
  • Those looking for an overview of grand-unification proposals involving SU(5) and SO(10).

Themes

Quantum field theory foundationsGauge theories and particle interactionsElectroweak symmetry breakingGrand unification

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Book overview

The matter in our universe is composed of electrons and quarks. The dynamics of electrons and quarks is described by the Standard Model of particle physics, which is based on quantum field theories. The general framework of quantum field theories is described in this book. After the classical mechanics and the relativistic mechanics the details of classical scalar fields, of electrodynamics and of quantum mechanics are discussed. Then the quantization of scalar fields, of spinor fields and of vector fields is described.

The basic interactions are described by gauge theories. These theories are discussed in detail, in particular the gauge theories of quantum electrodynamics (QED) and of quantum chromodynamics (QCD), based on the gauge group SU(3). In both theories the gauge bosons, the photon and the gluons, have no mass. The gauge theory of the electroweak interactions, based on the gauge group SU(2) x U(1), describes both the electromagnetic and the weak interactions. The weak force is generated by the exchange of the weak bosons. They have a large mass, and one believes that these masses are generated by a spontaneous breaking of the gauge symmetry.

It might be that the strong and the electroweak interactions are unified at very high energies ("Grand Unification"). The gauge groups SU(3) and SU(2) x U(1) must be subgroups of a big gauge group, describing the Grand Unification. Two such theories are discussed, based on the gauge groups SU(5) and SO(10).

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