Particles And Quantum Fields by Hagen Kleinert (PDF)

Description

This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena.The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions.Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book, at the time of my purchase, was ~$170 USD. I’ve owned the book for approximately four months, taking good care (just like my other books which have no wear) but the cover naturally begins ripping, wrinkling and wearing as a result of the material it is made of. The book may be overpriced, yes, but the least they could do is make a cloth-bound version or at least make it out of a more durable faux leather. The book is approximately the same length as Oxford’s War and Peace, which is a measly $25 USD, yet has much better paper quality and cover quality. The contents are great, and the wording is easy to grasp, the fault lies solely in the quality of it’s make and the astronomical price behind it for what it is.

⭐This book is a very useful reference book for classical and quantum field theory

⭐

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