2,130 research outputs found
The Bisognano-Wichmann Theorem for Massive Theories
The geometric action of modular groups for wedge regions (Bisognano-Wichmann
property) is derived from the principles of local quantum physics for a large
class of Poincare covariant models in d=4. As a consequence, the CPT theorem
holds for this class. The models must have a complete interpretation in terms
of massive particles. The corresponding charges need not be localizable in
compact regions: The most general case is admitted, namely localization in
spacelike cones.Comment: 16 pages; improved and corrected formulation
Spin & Statistics in Nonrelativistic Quantum Mechanics, II
Recently a sufficient and necessary condition for Pauli's spin- statistics
connection in nonrelativistic quantum mechanics has been established
[quant-ph/0208151]. The two-dimensional part of this result is extended to
n-particle systems and reformulated and further simplified in a more geometric
language.Comment: 1 figur
Canonical Interacting Quantum Fields on Two-Dimensional De Sitter Space
We present the model on de Sitter space in the
canonical formulation. We discuss the role of the Noether theorem and we
provide explicit expressions for the energy-stress tensor of the interacting
model.Comment: minor correction
Wedge Local Deformations of Charged Fields leading to Anyonic Commutation Relations
The method of deforming free fields by using multiplication operators on Fock
space, introduced by G. Lechner in [11], is generalized to a charged free field
on two- and three-dimensional Minkowski space. In this case the deformation
function can be chosen in such a way that the deformed fields satisfy
generalized commutation relations, i.e. they behave like Anyons instead of
Bosons. The fields are "polarization free" in the sense that they create only
one-particle states from the vacuum and they are localized in wedges (or "paths
of wedges"), which makes it possible to circumvent a No-Go theorem by J. Mund
[12], stating that there are no free Anyons localized in spacelike cones. The
two-particle scattering matrix, however, can be defined and is different from
unity
Gauss’ Law and string-localized quantum field theory
The quantum Gauss Law as an interacting field equation is a prominent feature of QED with eminent impact on its algebraic and superselection structure. It forces charged particles to be accompanied by “photon clouds” that cannot be realized in the Fock space, and prevents them from having a sharp mass [7, 19]. Because it entails the possibility of “measurement of charges at a distance”, it is well-known to be in conflict with locality of charged fields in a Hilbert space [3, 17]. We show how a new approach to QED advocated in [25, 26, 30, 31] that avoids indefinite metric and ghosts, can secure causality and achieve Gauss’ Law along with all its nontrivial consequences. We explain why this is not at variance with recent results in [8]
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