*Quantum Fields: From the Hubble to the Planck Scale* uniquely introduces quantum field theory together with its most important applications to cosmology and astroparticle physics in a coherent framework. The book employs the path integral approach from the start, and it illustrates the use of Green functions and generating functionals, 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, and the stability of the electroweak vacuum are introduced. Various applications of quantum field theory to problems of in cosmology and astroparticle physics, 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.

- Coherent approach leads to more comprehensive understanding of QFT and cosmology
- Numerous worked examples and problems
- Self-contained contents make this book suitable for self study

*"As a classical textbook, it contains everything to facilitate the
preparation of a lecture course or a self-study: many pictures and a
lot of exercises. This book is amazingly self-contained. All definitions
and all numbers are here. Most of the computations are done from the
beginning till the end in all details."*

Dmitri V. Vassilevich, Mathematical Review Clippings

*"Recommended."*

CHOICE

*"This book treats two fields of physics that are usually taught separately - quantum field theory (QFT) on one side and cosmology and gravitation on the other - in a more unified manner. Kachelriess uses this unusual approach because he is convinced that, besides studying a subject in depth, what is often difficult is to put the pieces into a general picture. Thus, he makes an effort
to introduce QFT together with its most important applications to cosmology and astroparticle physics in a coherent framework.
This volume can serve as a textbook for courses in QFT, astroparticle physics and cosmology, and students interested in working at the interface between these fields can certainly appreciate the uncommon approach used. It was also the intention of the author to make the book suitable for self study, so all explanations and derivations are given in detail. Nevertheless, a solid knowledge of calculus, classical and quantum mechanics, electrodynamics and special relativity is required."*

CERN Courier, July 2018

*"There has been a long-standing 'two-cultures' problem in the
interdisciplinary field of astroparticle physics and cosmology.
What divides practitioners from the astrophysics side from those
coming from particle physics is that the former have usually not
done a course in quantum field theory. This excellent book squarely
addresses the issue, being aimed at graduate students who wish to
work in this exciting field on frontier problems such as dark matter
and inflation, fully armed with the essential background on QFT. The
author strives for clarity and consistency and has drawn up a wide
variety of key sources to put together a very comprehensive and
useful text."*

Subir Sakar, University of Oxford, UK, and the Niels Bohr
Institute, Denmark

*"This is a very comprehensive, detailed and instructive monograph on
all aspects of quantum field theory, from basic concepts to advanced
applications in fundamental physics and theoretical cosmology. A true
reference, valuable both to students who are approaching quantum field
theory for the first time, and to more experienced researchers."*

Nicolao Fornengo, University of Turnio and INFN, Italy

You can make up your own mind by checking a draft version from 2016.

*Quantum Fields from the Hubble to the Planck Scale*
appeared in the Graduate Text book series of Oxford University Press;
available at amazon or maybe in your local bookshop.
You can check out the website of the book at OUP and Oxford Scholarship Online:

* .*

Hardback; Published: 26 October 2017

546 Pages, 56 grayscale line figures

ISBN: 9780198802877

Graduate Text book series

Oxford University Press

Paperback; Corrected version, published: 06 October 2022

560 Pages, 56 grayscale line figures

ISBN: 9780192873491

Graduate Text book series

Oxford University Press

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