Non-Perturbative Aspects of Nonlinear Sigma Models
... that it is not affected by quantum fluctuations. Explicit calculations [25, 26, 27], however, showed that a more subtle analysis of the renormalization properties is necessary. In order to study this manifestly non-perturbative issue, the FRG should be an adequate tool and first computations in this fr ...
... that it is not affected by quantum fluctuations. Explicit calculations [25, 26, 27], however, showed that a more subtle analysis of the renormalization properties is necessary. In order to study this manifestly non-perturbative issue, the FRG should be an adequate tool and first computations in this fr ...
1 - the David R. Cheriton School of Computer Science
... Subsystem structure & quantum circuit diagrams Introductory remarks about quantum algorithms Deutsch’s parity algorithm One-out-of-four search algorithm ...
... Subsystem structure & quantum circuit diagrams Introductory remarks about quantum algorithms Deutsch’s parity algorithm One-out-of-four search algorithm ...
Quantum Information and the Representation Theory of the
... results that establish the link between quantum information and the representation theory of the symmetric group, and to briefly mention a few of the interesting consequences that have emerged from this connection, which have to do with the Kronecker coefficients and multipartite entanglement. The p ...
... results that establish the link between quantum information and the representation theory of the symmetric group, and to briefly mention a few of the interesting consequences that have emerged from this connection, which have to do with the Kronecker coefficients and multipartite entanglement. The p ...
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.