1,300 research outputs found
Two algebraic properties of thermal quantum field theories
We establish the Schlieder and the Borchers property for thermal field
theories. In addition, we provide some information on the commutation and
localization properties of projection operators.Comment: plain tex, 14 page
A Goldstone Theorem in Thermal Relativistic Quantum Field Theory
We prove a Goldstone Theorem in thermal relativistic quantum field theory,
which relates spontaneous symmetry breaking to the rate of space-like decay of
the two-point function. The critical rate of fall-off coincides with that of
the massless free scalar field theory. Related results and open problems are
briefly discussed
Thermal Quantum Fields without Cut-offs in 1+1 Space-time Dimensions
We construct interacting quantum fields in 1+1 dimensional Minkowski space,
representing neutral scalar bosons at positive temperature. Our work is based
on prior work by Klein and Landau and Hoegh-KrohnComment: 48 page
On the mixing property for a class of states of relativistic quantum fields
Let be a factor state on the quasi-local algebra of
observables generated by a relativistic quantum field, which in addition
satisfies certain regularity conditions (satisfied by ground states and the
recently constructed thermal states of the theory). We prove that
there exist space and time translation invariant states, some of which are
arbitrarily close to in the weak* topology, for which the time
evolution is weakly asymptotically abelian
Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems
We show in this article that the Reeh-Schlieder property holds for states of
quantum fields on real analytic spacetimes if they satisfy an analytic
microlocal spectrum condition. This result holds in the setting of general
quantum field theory, i.e. without assuming the quantum field to obey a
specific equation of motion. Moreover, quasifree states of the Klein-Gordon
field are further investigated in this work and the (analytic) microlocal
spectrum condition is shown to be equivalent to simpler conditions. We also
prove that any quasifree ground- or KMS-state of the Klein-Gordon field on a
stationary real analytic spacetime fulfills the analytic microlocal spectrum
condition.Comment: 31 pages, latex2
On the relativistic KMS condition for the P(\phi)_2 model
The relativistic KMS condition introduced by Bros and Buchholz provides a
link between quantum statistical mechanics and quantum field theory. We show
that for the model at positive temperature, the two point function
for fields satisfies the relativistic KMS condition
The H\"older Inequality for KMS States
We prove a H\"older inequality for KMS States, which generalises a well-known
trace-inequality. Our results are based on the theory of non-commutative
-spaces.Comment: 10 page
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