121389988
Whither Axiomatic Field Theory
116890750
Constructive field theory
124867759
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions: Part I. Physics of Quantum Field Models
58901623
Representations of the Heisenberg algebra on a Riemann surface
We formulate reflection positivity for meromorphic functions and for 1-forms on a Riemann surface. This construction yields representations of the Heisenberg algebra on a Riemann surface.
115879784
Functional Integral Methods in Quantum Field Theory
We give a special form of the Osterwalder-Schrader axioms in terms of conditions on a functional integral S{f} = ∫eiϕ(f)dμ. This yields a simple, self-contained construction of a Hamiltonian H, a relativistic, local boson quantum field Φ, and a Feynman-Kac formula to study perturbations H + Φ of H.
119588441
Response to comments on ``Theoretical Mathematics''
The authors discuss various objections and rejoinders in the collected responses [math.HO/9404229,math.HO/9404236] to their original article on the relationship between mathematics and theoretical physics [math.HO/9307227].
1472292
Search for Non-Gaussian Signals in the BOOMERANG Maps: Pixel-Space Analysis
We search the BOOMERANG (Balloon Observations Of Millimetric Extragalactic Radiation ANd Geophysics) maps of the anisotropy of the cosmic microwave background (CMB) for deviations from Gaussianity. In this Letter, we focus on analysis techniques in pixel space and compute skewness, kurtosis, and Minkowski functionals for the BOOMERANG maps and for Gaussian simulations of the CMB sky. We do not find any significant deviation from Gaussianity in the high galactic latitude section of the 150 GHz map. We do find deviations from Gaussianity at lower latitudes and at 410 GHz, and we ascribe them to Galactic dust contamination. Using non-Gaussian simulations of instrumental systematic effects, of foregrounds, and of sample non-Gaussian cosmological models, we set upper limits to the non-Gaussian component of the temperature field in the BOOMERANG maps. For fluctuations distributed as a 1 degree of freedom χ2 mixed to the main Gaussian component, our upper limits are in the few percentile range.
15070240
Recent results from the CMB
We review recent strides in understanding the universe through measurements of anisotropies in the cosmic microwave background radiation. Particular emphasis is given to the BOOMERanG experiment and results.
16086049
Data Compression for CMB Experiments
We discuss data compression for CMB experiments. Although "radical compression" to C_l bands, via quadratic estimators or local bandpowers, potentially offers a great savings in computation time, they do a considerably worse job at recovering the full likelihood than the the signal-to-noise eigenmode method of compression.
15793231
STATISTICS IN ASTROPHYSICS AND COSMOLOGY: PHYSTAT05
According to the invention, a structure is provided for driving a bus line that is both fast and small. Instead of a plurality of tristate buffers, one for each input signal, a plurality of multiplexers is connected into a chain. The tristate enable line of the tristate buffer becomes the control line for enabling the multiplexer to place its own input signal into the chain instead of propagating the signal already in the chain. A buffer element then drives the resulting signal onto an output line of the chain. One embodiment of the invention includes lookahead logic similar to a lookahead carry chain. This allows large numbers of input lines to be connected to a bus line while retaining high speed. An embodiment implements the lookahead feature using AND gates and OR gates and thereby further increases speed and reduces size.
122687802
Imaging the early universe with the BOOMERanG Experiment
The BOOMERanG experiment has recently detected temperature fluctuations the Cosmic Microwave Background (CMB), the otherwise isotropic radiation coming from the early Universe. These anisotropies have a low contrast (about 30 ppm) and feature a peculiar angular power spectrum at angles corresponding to sub-horizon scales at recombination. In the current cosmological model, these structures result from acoustic oscillations in the primeval plasma. In the framework of the Hot Big Bang theory with the inflationary hypothesis, the statistical properties of the image of the CMB allow us to measure most of the cosmological parameters.