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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
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Quantum Field Theory II - Introductions to Quantum Gravity, Supersymmetry and String Theory (Hardcover, 1st ed. 2016)
Loot Price: R2,988
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Quantum Field Theory II - Introductions to Quantum Gravity, Supersymmetry and String Theory (Hardcover, 1st ed. 2016)
Series: Graduate Texts in Physics
Expected to ship within 12 - 17 working days
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This book takes a pedagogical approach to explaining quantum
gravity, supersymmetry and string theory in a coherent way. It is
aimed at graduate students and researchers in quantum field theory
and high-energy physics. The first part of the book introduces
quantum gravity, without requiring previous knowledge of general
relativity (GR). The necessary geometrical aspects are derived
afresh leading to explicit general Lagrangians for gravity,
including that of general relativity. The quantum aspect of
gravitation, as described by the graviton, is introduced and
perturbative quantum GR is discussed. The Schwinger-DeWitt
formalism is developed to compute the one-loop contribution to the
theory and renormalizability aspects of the perturbative theory are
also discussed. This follows by introducing only the very basics of
a non-perturbative, background-independent, formulation of quantum
gravity, referred to as "loop quantum gravity", which gives rise to
a quantization of space. In the second part the author introduces
supersymmetry and its consequences. The generation of superfields
is represented in detail. Supersymmetric generalizations of
Maxwell's Theory as well as of Yang-Mills field theory, and of the
standard model are worked out. Spontaneous symmetry breaking,
improvement of the divergence problem in supersymmetric field
theory, and its role in the hierarchy problem are covered. The
unification of the fundamental constants in a supersymmetric
version of the standard model are then studied. Geometrical aspects
necessary to study supergravity are developed culminating in the
derivation of its full action. The third part introduces string
theory and the analysis of the spectra of the mass (squared)
operator associated with the oscillating strings. The properties of
the underlying fields, associated with massless particles,
encountered in string theory are studied in some detail. Elements
of compactification, duality and D-branes are given, as well of the
generation of vertices and interactions of strings. In the final
sections, the author shows how to recover GR and the Yang-Mills
field Theory from string theory.
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