4,006 research outputs found
On the equivalence of two deformation schemes in quantum field theory
Two recent deformation schemes for quantum field theories on the
two-dimensional Minkowski space, making use of deformed field operators and
Longo-Witten endomorphisms, respectively, are shown to be equivalent.Comment: 14 pages, no figure. The final version is available under Open
Access. CC-B
Spin precession and alternating spin polarization in spin-3/2 hole systems
The spin density matrix for spin-3/2 hole systems can be decomposed into a
sequence of multipoles which has important higher-order contributions beyond
the ones known for electron systems [R. Winkler, Phys. Rev. B \textbf{70},
125301 (2004)]. We show here that the hole spin polarization and the
higher-order multipoles can precess due to the spin-orbit coupling in the
valence band, yet in the absence of external or effective magnetic fields. Hole
spin precession is important in the context of spin relaxation and offers the
possibility of new device applications. We discuss this precession in the
context of recent experiments and suggest a related experimental setup in which
hole spin precession gives rise to an alternating spin polarization.Comment: 4 pages, 2 figures, to appear in Physical Review Letter
Deformations of Fermionic Quantum Field Theories and Integrable Models
Considering the model of a scalar massive Fermion, it is shown that by means
of deformation techniques it is possible to obtain all integrable quantum field
theoretic models on two-dimensional Minkowski space which have factorizing
S-matrices corresponding to two-particle scattering functions S_2 satisfying
S_2(0) = -1. Among these models there is for example the Sinh-Gordon model. Our
analysis provides a complement to recent developments regarding deformations of
quantum field theories. The deformed model is investigated also in higher
dimensions. In particular, locality and covariance properties are analyzed.Comment: 20 page
Deformations of quantum field theories on de Sitter spacetime
Quantum field theories on de Sitter spacetime with global U(1) gauge symmetry
are deformed using the joint action of the internal symmetry group and a
one-parameter group of boosts. The resulting theory turns out to be wedge-local
and non-isomorphic to the initial one for a class of theories, including the
free charged Dirac field. The properties of deformed models coming from
inclusions of CAR-algebras are studied in detail.Comment: 26 pages, no figure
Scaling limits of integrable quantum field theories
Short distance scaling limits of a class of integrable models on
two-dimensional Minkowski space are considered in the algebraic framework of
quantum field theory. Making use of the wedge-local quantum fields generating
these models, it is shown that massless scaling limit theories exist, and
decompose into (twisted) tensor products of chiral, translation-dilation
covariant field theories. On the subspace which is generated from the vacuum by
the observables localized in finite light ray intervals, this symmetry can be
extended to the M\"obius group. The structure of the interval-localized
algebras in the chiral models is discussed in two explicit examples.Comment: Revised version: erased typos, improved formulations, and corrections
of Lemma 4.8/Prop. 4.9. As published in RMP. 43 pages, 1 figur
Wedge-Local Quantum Fields and Noncommutative Minkowski Space
Within the setting of a recently proposed model of quantum fields on
noncommutative Minkowski spacetime, the consequences of the consistent
application of the proper, untwisted Poincare group as the symmetry group are
investigated. The emergent model contains an infinite family of fields which
are labelled by different noncommutativity parameters, and related to each
other by Lorentz transformations. The relative localization properties of these
fields are investigated, and it is shown that to each field one can assign a
wedge-shaped localization region of Minkowski space. This assignment is
consistent with the principles of covariance and locality, i.e. fields
localized in spacelike separated wedges commute.
Regarding the model as a non-local, but wedge-local, quantum field theory on
ordinary (commutative) Minkowski spacetime, it is possible to determine
two-particle S-matrix elements, which turn out to be non-trivial. Some partial
negative results concerning the existence of observables with sharper
localization properties are also obtained.Comment: Version to appear in JHEP, 27 page
Quantum backflow and scattering
Backflow is the phenomenon that the probability current of a quantum particle on the line can flow in the direction opposite to its momentum. In this article, previous investigations of backflow, pertaining to interaction-free dynamics or purely kinematical aspects, are extended to scattering situations in short-range potentials. It is shown that backflow is a universal quantum effect which exists in any such potential, and is always of bounded spatial extent in a specific sense. The effects of reflection and transmission processes on backflow are investigated, both analytically for general potentials, and numerically in various concrete examples
Five-Branes in Heterotic Brane-World Theories
The effective action for five-dimensional heterotic M-theory in the presence
of five-branes is systematically derived from Horava-Witten theory coupled to
an M5-brane world-volume theory. This leads to a five-dimensional N=1 gauged
supergravity theory on S^1/Z_2 coupled to four-dimensional N=1 theories
residing on the two orbifold fixed planes and an additional bulk three-brane.
We analyse the properties of this action, particularly the four-dimensional
effective theory associated with the domain-wall vacuum state. The moduli
Kahler potential and the gauge-kinetic functions are determined along with the
explicit relations between four-dimensional superfields and five-dimensional
component fields.Comment: 19 pages, Latex, typos corrected, reference adde
NS5-branes in IIA supergravity and gravitational anomalies
We construct a gravitational-anomaly-free effective action for the coupled
system of IIA D=10 dynamical supergravity interacting with an NS5-brane. The
NS5-brane is considered as elementary in that the associated current is a
delta-function supported on its worldvolume. Our approach is based on a
Chern-kernel which encodes the singularities of the three-form field strength
near the brane in an SO(4)-invariant way and provides a solution for its
Bianchi identity in terms of a two-form potential. A dimensional reduction of
the recently constructed anomaly-free effective action for an elementary
M5-brane in D=11 is seen to reproduce our ten-dimensional action. The
Chern-kernel approach provides in particular a concrete realization of the
anomaly cancellation mechanism envisaged by Witten.Comment: LaTex, 31 pages, no figure
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