Quantum Field Theory I
... done “by hand.” Moreover, once we go to relativistic systems, quantum field theory is the only known formalism to describe quantum mechanics consistent with Lorentz invariance and causality. It also allows a systematic way of organizing perturbation theory in terms of “Feynman diagrams,” a graphical ...
... done “by hand.” Moreover, once we go to relativistic systems, quantum field theory is the only known formalism to describe quantum mechanics consistent with Lorentz invariance and causality. It also allows a systematic way of organizing perturbation theory in terms of “Feynman diagrams,” a graphical ...
From Landau levels to quantum Hall effects
... Other features: There is a finite overlap between wave function for a quasiparticle and wave function for a bare particle added to the ground state. At least in the case of short-range interactions, the charge of the quasiparticle is the same as that of the bare particle. Reason perturbation theory ...
... Other features: There is a finite overlap between wave function for a quasiparticle and wave function for a bare particle added to the ground state. At least in the case of short-range interactions, the charge of the quasiparticle is the same as that of the bare particle. Reason perturbation theory ...
K.K. Gan Physics 780.02: Introduction to High Energy Physics
... Textbook: Particle Physics (3rd edition) Martin and Shaw The following books are suggested references and are at the Science and Engineering Library: Introduction to Quarks and Partons, Close, QC793.5Q252C46 The Cosmic Onion, Close, QC793.5Q252C45 The Fundamental Particles and Their Interactions, Ro ...
... Textbook: Particle Physics (3rd edition) Martin and Shaw The following books are suggested references and are at the Science and Engineering Library: Introduction to Quarks and Partons, Close, QC793.5Q252C46 The Cosmic Onion, Close, QC793.5Q252C45 The Fundamental Particles and Their Interactions, Ro ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.