How Long to Read An Introduction to Non-Perturbative Foundations of Quantum Field Theory

How Long Does it Take to Read An Introduction to Non-Perturbative Foundations of Quantum Field Theory?

It takes the average reader 4 hours and 34 minutes to read An Introduction to Non-Perturbative Foundations of Quantum Field Theory by Franco Strocchi

Assuming a reading speed of 250 words per minute. Learn more

Description

Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.

How long is An Introduction to Non-Perturbative Foundations of Quantum Field Theory?

An Introduction to Non-Perturbative Foundations of Quantum Field Theory by Franco Strocchi is 272 pages long, and a total of 68,544 words.

This makes it 92% the length of the average book. It also has 84% more words than the average book.

How Long Does it Take to Read An Introduction to Non-Perturbative Foundations of Quantum Field Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 14 minutes to read An Introduction to Non-Perturbative Foundations of Quantum Field Theory aloud.

What Reading Level is An Introduction to Non-Perturbative Foundations of Quantum Field Theory?

An Introduction to Non-Perturbative Foundations of Quantum Field Theory is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy An Introduction to Non-Perturbative Foundations of Quantum Field Theory?

An Introduction to Non-Perturbative Foundations of Quantum Field Theory by Franco Strocchi is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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