8,337 research outputs found
Gauge theory of things alive and universal dynamics
Positing complex adaptive systems made of agents with relations between them
that can be composed, it follows that they can be described by gauge theories
similar to elementary particle theory and general relativity. By definition, a
universal dynamics is able to determine the time development of any such system
without need for further specification. The possibilities are limited, but one
of them - reproduction fork dynamics - describes DNA replication and is the
basis of biological life on earth. It is a universal copy machine and a
renormalization group fixed point. A universal equation of motion in continuous
time is also presented.Comment: 13 pages, latex, uses fleqn.sty (can be removed without harm
Perfect 3-Dimensional Lattice Actions for 4-Dimensional Quantum Field Theories at Finite Temperature
We propose a two-step procedure to study the order of phase transitions at
finite temperature in electroweak theory and in simplified models thereof. In a
first step a coarse grained free energy is computed by perturbative methods. It
is obtained in the form of a 3-dimensional perfect lattice action by a block
spin transformation. It has finite temperature dependent coefficients. In this
way the UV-problem and the infrared problem is separated in a clean way. In the
second step the effective 3-dimensional lattice theory is treated in a
nonperturbative way, either by the Feynman-Bogoliubov method (solution of a gap
equation), by real space renormalization group methods, or by computer
simulations. In this paper we outline the principles for -theory
and scalar electrodynamics. The Ba{\l}aban-Jaffe block spin transformation for
the gauge field is used. It is known how to extend this transformation to the
nonabelian case, but this will not be discussed here.Comment: path to figures (in added uu-file) revised, no other changes 33
pages, 3 figures, late
SIMMUNE, a tool for simulating and analyzing immune system behavior
We present a new approach to the simulation and analysis of immune system
behavior. The simulations that can be done with our software package called
SIMMUNE are based on immunological data that describe the behavior of immune
system agents (cells, molecules) on a microscopial (i.e. agent-agent
interaction) scale by defining cellular stimulus-response mechanisms. Since the
behavior of the agents in SIMMUNE can be very flexibly configured, its
application is not limited to immune system simulations. We outline the
principles of SIMMUNE's multiscale analysis of emergent structure within the
simulated immune system that allow the identification of immunological contexts
using minimal a priori assumptions about the higher level organization of the
immune system.Comment: 23 pages, 10 figure
Self-consistent Calculation of Real Space Renormalization Group Flows and Effective Potentials
We show how to compute real space renormalization group flows in lattice
field theory by a self-consistent method. In each step, the integration over
the fluctuation field (high frequency components of the field) is performed by
a saddle point method. The saddle point depends on the block-spin. Higher
powers of derivatives of the field are neglected in the actions, but no
polynomial approximation in the field is made. The flow preserves a simple
parameterization of the action. In this paper we treat scalar field theories as
an example.Comment: 52 pages, uses pstricks macro, three ps-figure
A Self Consistent Study of the Phase Transition in the Scalar Electroweak Theory at Finite Temperature
We propose the study of the phase transition in the scalar electroweak theory
at finite temperature by a two - step method. It combines i) dimensional
reduction to a 3-dimensional {\it lattice\/} theory via perturbative blockspin
transformation, and ii) either further real space renormalization group
transformations, or solution of gap equations, for the 3d lattice theory. A gap
equation can be obtained by using the Peierls inequality to find the best
quadratic approximation to the 3d action. % This method avoids the lack of self
consistency of the usual treatments which do not separate infrared and
UV-problems by introduction of a lattice cutoff. The effective 3d lattice
action could also be used in computer simulations.Comment: 3 pages, LaTeX file, contribution to Lattice 9
Risk aversion, efficient markets and the forward exchange rate
Foreign exchange futures ; Foreign exchange rates ; Interest rates
Separation of two bodies in space. A machine programmed analysis using the Lagrange equations and Eulerian angles
Fortran computer program and Lagrangian motion equations for separation analysis of two bodies in spac
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