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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Quantum Field Theory and Critical Phenomena - Fifth Edition (Hardcover, 5th Revised edition)
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Quantum Field Theory and Critical Phenomena - Fifth Edition (Hardcover, 5th Revised edition)
Series: International Series of Monographs on Physics, 171
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Introduced as a quantum extension of Maxwell's classical theory,
quantum electrodynamics has been the first example of a Quantum
Field Theory (QFT). Eventually, QFT has become the framework for
the discussion of all fundamental interactions at the microscopic
scale except, possibly, gravity. More surprisingly, it has also
provided a framework for the understanding of second order phase
transitions in statistical mechanics. As this work illustrates, QFT
is the natural framework for the discussion of most systems
involving an infinite number of degrees of freedom with local
couplings. These systems range from cold Bose gases at the
condensation temperature (about ten nanokelvin) to conventional
phase transitions (from a few degrees to several hundred) and high
energy particle physics up to a TeV, altogether more than twenty
orders of magnitude in the energy scale. Therefore, this text sets
out to present a work in which the strong formal relations between
particle physics and the theory of critical phenomena are
systematically emphasized. This option explains some of the choices
made in the presentation. A formulation in terms of field integrals
has been adopted to study the properties of QFT. The language of
partition and correlation functions has been used throughout, even
in applications of QFT to particle physics. Renormalization and
renormalization group properties are systematically discussed. The
notion of effective field theory and the emergence of
renormalisable theories are described. The consequences for fine
tuning and triviality issue are emphasized. This fifth edition has
been updated and fully revised, e.g. in particle physics with
progress in neutrino physics and the discovery of the Higgs boson.
The presentation has been made more homogeneous througout the
volume, and emphasis has been put on the notion of effective field
theory and discussion of the emergence of renormalisable theories.
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