Quantum Fields: From the Hubble to the Planck Scale

ISBN : 9780198802877

Michael Kachelriess
548 ページ
171 x 246 mm
Oxford Graduate Texts

This book introduces quantum field theory, together with its most important applications to cosmology and astroparticle physics, in a coherent framework. The path integral approach is employed right from the start, and the use of Green functions and generating functionals is illustrated first in quantum mechanics and then in scalar field theory. Massless spin one and two fields are discussed on an equal footing, and gravity is presented as a gauge theory in close analogy with the Yang-Mills case. Concepts relevant to modern research such as helicity methods, effective theories, decoupling, or the stability of the electroweak vacuum are introduced. Various applications such as topological defects, dark matter, baryogenesis, processes in external gravitational fields, inflation and black holes help students to bridge the gap between undergraduate courses and the research literature.


1 Classical Mechanics
2 Quantum Mechanics
3 Free Scalar Field
4 Scalar Field with Lambda phi 4 Interaction
5 Global Symmetries and Noether's Theorom
6 Space-time Symmetries
7 Spin-1 and Spin-2 Fields
8 Fermions and the Dirac Equation
9 Scattering Processes
10 Gauge Theories
11 Renormalisation I: Perturbation Theory
12 Renormalisation II: Improving Perturbation Theory
13 Symmetries and Symmetry Breaking
14 GSW Model of Electroweak Interactions
15 Thermal Field Theory
16 Phase Transitions and Topological Defects
17 Anomalies, Instantons and Axions
18 Hadrons, Partons and QCD
19 Gravity as a Gauge Theory
20 Cosmological Models for a Homogeneous, Isotropic Universe
21 Thermal Relics
22 Baryogenesis
23 Quantum Fields in Curved Space-Time
24 Inflation
25 Black Holes
26 Cosmological Constant


Michael Kachelriess is Professor of Physics at the Norwegian University of Science and Technology in Trondheim. After receiving his PhD from Ruhr University at Bochum in 1996, he held fellowships at Gran Sasso National Laboratory, the University of Valencia, the Theory Division of CERN, and the Max Planck Institute for Physics in Munich. His research focuses on theoretical astroparticle physics, and he has published widely in this field.