Continuous Matrix Product States for Quantum Fields
... judicious choice of tensors Q and R allows to develop a consistent formalism for describing 2 þ 1 dimensional field theories [10]. In conclusion, we have introduced a new family of states, the CMPS, for quantum field models in 1 spatial dimension. They correspond to the continuum limit of the MPS. W ...
... judicious choice of tensors Q and R allows to develop a consistent formalism for describing 2 þ 1 dimensional field theories [10]. In conclusion, we have introduced a new family of states, the CMPS, for quantum field models in 1 spatial dimension. They correspond to the continuum limit of the MPS. W ...
Towards UV Finiteness of Infinite Derivative Theories of Gravity and
... a renormalisable theory of gravity; see Ref. [28] for earlier work in that direction. Since the interactions in such class of theories are all derivatives in nature, the interactions due to infinite covariant derivatives give rise to nonlocal interactions 1 . Within the context of infinite-derivativ ...
... a renormalisable theory of gravity; see Ref. [28] for earlier work in that direction. Since the interactions in such class of theories are all derivatives in nature, the interactions due to infinite covariant derivatives give rise to nonlocal interactions 1 . Within the context of infinite-derivativ ...
Wavelike properties of particles
... If asked: is electron wave or particle? They are both. In any experiment (or empirical observation) only one aspect of either wave or particle, but not both can be observed simultaneously. It’s like a coin with two faces. But one can only see one side of the coin but not the other at any instance. T ...
... If asked: is electron wave or particle? They are both. In any experiment (or empirical observation) only one aspect of either wave or particle, but not both can be observed simultaneously. It’s like a coin with two faces. But one can only see one side of the coin but not the other at any instance. T ...
Chemistry - Isotopes
... the value _________________. The formula relating wavelength and frequency of EM radiation is ___________, where ν = _____________ and γ= _____________. The energy of EM radiation is directly related to its ______________, and can be computed from the formula ____________, where h is ___________ con ...
... the value _________________. The formula relating wavelength and frequency of EM radiation is ___________, where ν = _____________ and γ= _____________. The energy of EM radiation is directly related to its ______________, and can be computed from the formula ____________, where h is ___________ con ...
Breakdown of the static approximation in itinerant - HAL
... We have seen how the SA can give unphysical results. In particular, it can underestimate the heat capacity, so that the magnetic contribution may be negative. We have identified the terms that cause the anomaly by demonstrating that it occurs in certain limits. In the general case there will be posi ...
... We have seen how the SA can give unphysical results. In particular, it can underestimate the heat capacity, so that the magnetic contribution may be negative. We have identified the terms that cause the anomaly by demonstrating that it occurs in certain limits. In the general case there will be posi ...
Chapter 4 Radiation By Moving Charges
... The general expression for radiation by an accelerated particle, without invoking approximations requiring v << c, is given by eq (4.81). However an important distinction must be drawn in discussions of energy per unit time between expressions based on time-at-fieldpoint, t , such as eq (4.81), and ...
... The general expression for radiation by an accelerated particle, without invoking approximations requiring v << c, is given by eq (4.81). However an important distinction must be drawn in discussions of energy per unit time between expressions based on time-at-fieldpoint, t , such as eq (4.81), and ...
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.