Seneor, Roland, Baulieu, Laurent, Iliopoulos, Jean
2016, Approx. 300 p. 5 illus.
Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
digitally watermarked, no DRM
The eBook version of this title will be available soon
The book is an advanced text which grew from courses taught at the famous Ecole Polytechnique
Provides a modern approach to field theory, with exercises, questions and hints to assist in understanding the content
More technically advanced than competing titles, especially in the uses of mathematics as a tool
Quantum field theory has enormously matured during the last two decades. It provides an extremely powerful tool to describe a large variety of fundamental physical phenomenoa over many scales of distances. Once a specialized field in elementary particle physics, quantum field theory has since been dramatically extended to cover many areas from condensed matter physics to quantum gravity and even new developments in mathematics.
This evolution has implied a corresponding evolution in University curricula. Quantum field theory is no longer limited to specialized graduate schools, but it is considered an essential subject in general physics education.
From Classical to Quantum Fields grew out of courses taught by the authors during the last decade to students in Ecole Polytechnique and Ecole Normale Superieure in Paris. One of the purposes of the course was to show them how mathematics and physics are intimately connected and how they enrich each other: how physics lies at the origin of many concepts introduced in mathematics and how mathematics is far more than a convenient language for physics.
The passage from the intuitive picture of classical fields to that of quantum field theory, through the notion of path integral quantization, provides an ideal framework. Emphasis is given to a clear exposition of the underlying principles.
The basic elements about path integrals are gradually introduced, starting from quantum mechanics and finishing with the modern techniques for defining and renormalizing Yang-Mills theories. The power of this approach has overshadowed the more traditional quanization schemes, first because most physically interesting systems have a gauge invariance and second because it provides for any system the most efficient way to perform numerical non-perturbative calculations. The relation between renormalization and symmetries is analyzed in examples with the introduction of the notion of anomalies.
Some new ideas concerning supersymmetry and topological symmetries are also introduced without much development. The last chapter, "Beyond the Standard Model," will motivate readers to pursue further studies of quantum field theory.
Content Level »Research
Keywords »path integral - quantum mechanics - quantum theory - symmetries