57,510 research outputs found
Large-N analysis of (2+1)-dimensional Thirring model
We analyze -dimensional vector-vector type four-Fermi interaction
(Thirring) model in the framework of the expansion. By solving the
Dyson-Schwinger equation in the large- limit, we show that in the
two-component formalism the fermions acquire parity-violating mass dynamically
in the range of the dimensionless coupling , . The symmetry
breaking pattern is, however, in a way to conserve the overall parity of the
theory such that the Chern-Simons term is not induced at any orders in .
turns out to be a non-perturbative UV-fixed point in . The
function is calculated to be
near the fixed point, and the UV-fixed point and the function are shown
exact in the expansion.Comment: 14 pages Latex. (Revised version: some changes have been made and
references added.) To appear in Phys. Rev. D, SNUTP 93-4
Quaternion Electromagnetism and the Relation with 2-Spinor Formalism
By using complex quaternion, which is the system of quaternion representation
extended to complex numbers, we show that the laws of electromagnetism can be
expressed much more simply and concisely. We also derive the quaternion
representation of rotations and boosts from the spinor representation of
Lorentz group. It is suggested that the imaginary 'i' should be attached to the
spatial coordinates, and observe that the complex conjugate of quaternion
representation is exactly equal to parity inversion of all physical quantities
in the quaternion. We also show that using quaternion is directly linked to the
two-spinor formalism. Finally, we discuss meanings of quaternion, octonion and
sedenion in physics as n-fold rotationComment: Version published in journal Universe (2019
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Investigating the impact of remotely sensed precipitation and hydrologic model uncertainties on the ensemble streamflow forecasting
In the past few years sequential data assimilation (SDA) methods have emerged as the best possible method at hand to properly treat all sources of error in hydrological modeling. However, very few studies have actually implemented SDA methods using realistic input error models for precipitation. In this study we use particle filtering as a SDA method to propagate input errors through a conceptual hydrologic model and quantify the state, parameter and streamflow uncertainties. Recent progress in satellite-based precipitation observation techniques offers an attractive option for considering spatiotemporal variation of precipitation. Therefore, we use the PERSIANN-CCS precipitation product to propagate input errors through our hydrologic model. Some uncertainty scenarios are set up to incorporate and investigate the impact of the individual uncertainty sources from precipitation, parameters and also combined error sources on the hydrologic response. Also probabilistic measure are used to quantify the quality of ensemble prediction. Copyright 2006 by the American Geophysical Union
Application of large eddy interaction model to channel flow
A procedure utilizing an expansion of proper orthogonal functions (or modes) to predict a fully developed flow in channel is derived. To examine numerical and conceptual difficulties, preliminary computations are performed with assigned mean velocity, and turbulence is expressed with only the first mode. The nonlinear interactions of the components of the first mode are treated specifically, with the influence of higher modes neglected; this treatment required adjustment of the skewness and effective Reynolds number to assure energy equilibrium of the first mode. Computational results show that the first mode possesses the structural character similar to that of the entire flow
Comment on ``Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimension"
It is mentioned that anyon thermodynamic potential could not
be factorized in terms characteristic of the ideal boson and
fermion gases by the relation in which , that claimed in Phys. Rev. Lett. 78,
3233 (1997). Our analyses indicate that the thermodynamic quantities of anyon
gas may be factorized as only in
the two-dimension system
Update-Efficient Regenerating Codes with Minimum Per-Node Storage
Regenerating codes provide an efficient way to recover data at failed nodes
in distributed storage systems. It has been shown that regenerating codes can
be designed to minimize the per-node storage (called MSR) or minimize the
communication overhead for regeneration (called MBR). In this work, we propose
a new encoding scheme for [n,d] error- correcting MSR codes that generalizes
our earlier work on error-correcting regenerating codes. We show that by
choosing a suitable diagonal matrix, any generator matrix of the [n,{\alpha}]
Reed-Solomon (RS) code can be integrated into the encoding matrix. Hence, MSR
codes with the least update complexity can be found. An efficient decoding
scheme is also proposed that utilizes the [n,{\alpha}] RS code to perform data
reconstruction. The proposed decoding scheme has better error correction
capability and incurs the least number of node accesses when errors are
present.Comment: Submitted to IEEE ISIT 201
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