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Quantum Field Theory I - Foundations and Abelian and Non-Abelian Gauge Theories (Hardcover, 1st ed. 2016)
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Quantum Field Theory I - Foundations and Abelian and Non-Abelian Gauge Theories (Hardcover, 1st ed. 2016)
Series: Graduate Texts in Physics
Expected to ship within 12 - 17 working days
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This textbook covers a broad spectrum of developments in QFT,
emphasizing those aspects that are now well consolidated and for
which satisfactory theoretical descriptions have been provided. The
book is unique in that it offers a new approach to the subject and
explores many topics merely touched upon, if covered at all, in
standard reference works. A detailed and largely non-technical
introductory chapter traces the development of QFT from its
inception in 1926. The elegant functional differential approach put
forward by Schwinger, referred to as the quantum dynamical (action)
principle, and its underlying theory are used systematically in
order to generate the so-called vacuum-to-vacuum transition
amplitude of both abelian and non-abelian gauge theories, in
addition to Feynman's well-known functional integral approach,
referred to as the path-integral approach. Given the wealth of
information also to be found in the abelian case, equal importance
is put on both abelian and non-abelian gauge theories. Particular
emphasis is placed on the concept of a quantum field and its
particle content to provide an appropriate description of physical
processes at high energies, where relativity becomes indispensable.
Moreover, quantum mechanics implies that a wave function
renormalization arises in the QFT field independent of any
perturbation theory - a point not sufficiently emphasized in the
literature. The book provides an overview of all the fields
encountered in present high-energy physics, together with the
details of the underlying derivations. Further, it presents "deep
inelastic" experiments as a fundamental application of quantum
chromodynamics. Though the author makes a point of deriving points
in detail, the book still requires good background knowledge of
quantum mechanics, including the Dirac Theory, as well as elements
of the Klein-Gordon equation. The present volume sets the language,
the notation and provides additional background for reading Quantum
Field Theory II - Introduction to Quantum Gravity, Supersymmetry
and String Theory, by the same author. Students in this field might
benefit from first reading the book Quantum Theory: A Wide Spectrum
(Springer, 2006), by the same author.
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