2,070 research outputs found
Energy Inequalities in Quantum Field Theory
Quantum fields are known to violate all the pointwise energy conditions of
classical general relativity. We review the subject of quantum energy
inequalities: lower bounds satisfied by weighted averages of the stress-energy
tensor, which may be regarded as the vestiges of the classical energy
conditions after quantisation. Contact is also made with thermodynamics and
related issues in quantum mechanics, where such inequalities find analogues in
sharp Gaarding inequalities.Comment: 13pp. Expanded and updated version of a contribution to the
proceedings of the XIV ICMP, Lisbon 200
Aida
Empresa Juan A. PamiasFunció a 'beneficio de los empleados permanentes, porteros y acomodadoresMestre de cor : Ricardo Bottino ; Mestre del cor Laudate : Angel Colomer del Romero ; Mestre apuntador : Àngel Anglada ; Mestre de ball : Joan MagrinyàOrquestra del Gran Teatre del Liceu dirigida per Nino Verch
Nuclearity, Local Quasiequivalence and Split Property for Dirac Quantum Fields in Curved Spacetime
We show that a free Dirac quantum field on a globally hyperbolic spacetime
has the following structural properties: (a) any two quasifree Hadamard states
on the algebra of free Dirac fields are locally quasiequivalent; (b) the
split-property holds in the representation of any quasifree Hadamard state; (c)
if the underlying spacetime is static, then the nuclearity condition is
satisfied, that is, the free energy associated with a finitely extended
subsystem (``box'') has a linear dependence on the volume of the box and goes
like for large temperatures , where is the number of
dimensions of the spacetime.Comment: Latex, 33 pages, no figures. v3: Corrections to the proofs of thm.
4.1 and thm. 3.1 and more reference
On the spin-statistics connection in curved spacetimes
The connection between spin and statistics is examined in the context of
locally covariant quantum field theory. A generalization is proposed in which
locally covariant theories are defined as functors from a category of framed
spacetimes to a category of -algebras. This allows for a more operational
description of theories with spin, and for the derivation of a more general
version of the spin-statistics connection in curved spacetimes than previously
available. The proof involves a "rigidity argument" that is also applied in the
standard setting of locally covariant quantum field theory to show how
properties such as Einstein causality can be transferred from Minkowski
spacetime to general curved spacetimes.Comment: 17pp. Contribution to the proceedings of the conference "Quantum
Mathematical Physics" (Regensburg, October 2014
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