54 research outputs found
Deformations of quantum field theories on spacetimes with Killing vector fields
The recent construction and analysis of deformations of quantum field
theories by warped convolutions is extended to a class of curved spacetimes.
These spacetimes carry a family of wedge-like regions which share the essential
causal properties of the Poincare transforms of the Rindler wedge in Minkowski
space. In the setting of deformed quantum field theories, they play the role of
typical localization regions of quantum fields and observables. As a concrete
example of such a procedure, the deformation of the free Dirac field is
studied.Comment: 35 pages, 3 figure
Jorge A. Swieca's contributions to quantum field theory in the 60s and 70s and their relevance in present research
After revisiting some high points of particle physics and QFT of the two
decades from 1960 to 1980, I comment on the work by Jorge Andre Swieca. I
explain how it fits into the quantum field theory during these two decades and
draw attention to its relevance to the ongoing particle physics research. A
particular aim of this article is to direct thr readers mindfulness to the
relevance of what at the time of Swieca was called "the Schwinger Higgs
screening mechanism". which, together with recent ideas which generalize the
concept of gauge theories, has all the ingredients to revolutionize the issue
of gauge theories and the standard model.Comment: 49 pages, expansion and actualization of text, improvement of
formulations and addition of many references to be published in EPJH -
Historical Perspectives on Contemporary Physic
Reducing the Multiplicative Complexity in Logic Networks for Cryptography and Security Applications
Reducing the number of AND gates plays a central role in many cryptography and security applications. We propose a logic synthesis algorithm and tool to minimize the number of AND gates in a logic network composed of AND, XOR, and inverter gates. Our approach is fully automatic and exploits cut enumeration algorithms to explore optimization potentials in local subcircuits. The experimental results show that our approach can reduce the number of AND gates by 34% on average compared to generic size optimization algorithms. Further, we are able to reduce the number of AND gates up to 76% in best-known benchmarks from the cryptography community
On the Construction of Quantum Field Theories with Factorizing S-Matrices
The subject of this thesis is a novel construction method for interacting
relativistic quantum field theories on two-dimensional Minkowski space. The
input in this construction is not a classical Lagrangian, but rather a
prescribed factorizing S-matrix, i.e. the inverse scattering problem for such
quantum field theories is studied.
For a large class of factorizing S-matrices, certain associated quantum
fields, which are localized in wedge-shaped regions of Minkowski space, are
constructed explicitely. With the help of these fields, the local observable
content of the corresponding model is defined and analyzed by employing methods
from the algebraic framework of quantum field theory.
The abstract problem in this analysis amounts to the question under which
conditions an algebra of wedge-localized observables can be used to generate a
net of local observable algebras with the right physical properties. The answer
given here uses the so-called modular nuclearity condition, which is shown to
imply the existence of local observables and the Reeh-Schlieder property.
In the analysis of the concrete models, this condition is proven for a large
family of S-matrices, including the scattering operators of the Sinh-Gordon
model and the scaling Ising model as special examples. The so constructed
models are then investigated with respect to their scattering properties. They
are shown to solve the inverse scattering problem for the considered
S-matrices, and a proof of asymptotic completeness is given.Comment: PhD thesis, Goettingen university, 2006 (advisor: D. Buchholz) 153
pages, 10 figure
A critical look at 50 years particle theory from the perspective of the crossing property
The crossing property is perhaps the most subtle aspect of the particle-field
relation. Although it is not difficult to state its content in terms of certain
analytic properties relating different matrixelements of the S-matrix or
formfactors, its relation to the localization- and positive energy spectral
principles requires a level of insight into the inner workings of QFT which
goes beyond anything which can be found in typical textbooks on QFT. This paper
presents a recent account based on new ideas derived from "modular
localization" including a mathematic appendix on this subject. Its main novel
achievement is the proof of the crossing property of formfactors from a
two-algebra generalization of the KMS condition. The main content of this
article is the presentation of the derailments of particle theory during more
than 4 decades: the S-matrix bootstrap, the dual model and its string theoretic
extension. Rather than being related to crossing, string theory is the (only
known) realization of a dynamic infinite component one-particle wave function
space and its associated infinite component field. Here "dynamic" means that,
unlike a mere collection of infinitely many irreducible unitary Poincar\'e
group representation or free fields, the formalism contains also operators
which communicate between the different irreducible Poincar\'e represenations
(the levels of the "infinite tower") and set the mass/spin spectrum. Wheras in
pre-string times there were unsuccessful attempts to achieve this in analogy to
the O(4,2) hydrogen spectrum by the use of higher noncompact groups, the
superstring in d=9+1, which uses instead (bosonic/fermionic) oscillators
obtained from multicomponent chiral currents is the only known unitary positive
energy solution of the dynamical infinite component pointlike localized field
project.Comment: 66 pages, addition of new results, addition of references, will
appear in this form in Foundations of Physic
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