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In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. [ 1 ] : xi QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of quasiparticles .
Quantum field theory originated in the 1920s from the problem of creating a quantum mechanical theory of the electromagnetic field.In particular, de Broglie in 1924 introduced the idea of a wave description of elementary systems in the following way: "we proceed in this work from the assumption of the existence of a certain periodic phenomenon of a yet to be determined character, which is to ...
Stephen Barr said about the book, "Like the famous Feynman Lectures on Physics, this book has the flavor of a good blackboard lecture". [3] Michael Peskin's review in Classical and Quantum Gravity said, "This is quantum field theory taught at the knee of an eccentric uncle; one who loves the grandeur of his subject, has a keen eye for a slick argument, and is eager to share his repertoire of ...
In physics, particularly in quantum field theory, the Weyl equation is a relativistic wave equation for describing massless spin-1/2 particles called Weyl fermions. The equation is named after Hermann Weyl. The Weyl fermions are one of the three possible types of elementary fermions, the other two being the Dirac and the Majorana fermions.
In mathematical physics, constructive quantum field theory is the field devoted to showing that quantum field theory can be defined in terms of precise mathematical structures. This demonstration requires new mathematics , in a sense analogous to classical real analysis , putting calculus on a mathematically rigorous foundation.
He is a Donald Biggar Willett Professor of Physics at the University of Illinois at Urbana–Champaign, where he is the director of the Institute for Condensed Matter Theory, [3] and is the author of the books Quantum Field Theory: An Integrated Approach and Field Theories of Condensed Matter Physics. [4] [5]
Kevin Costello and Owen Gwilliam, Factorization Algebras in Quantum Field Theory: volume 2, Cambridge University Press, 2021 ISBN 1-107-16315-3 Kevin Costello, Renormalization and Effective Field Theory, Mathematical Surveys and Monographs 170, American Mathematical Society, 2022 ISBN 978-1-4704-7008-1
In quantum mechanics and scattering theory, the one-dimensional step potential is an idealized system used to model incident, reflected and transmitted matter waves.The problem consists of solving the time-independent Schrödinger equation for a particle with a step-like potential in one dimension.