Dimensional renormalization: Ladders and rainbows
نویسندگان
چکیده
منابع مشابه
N ov 1 99 6 Dimensional renormalization in φ 3 theory : ladders and rainbows
The sum of all the ladder and rainbow diagrams in φ3 theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hypergeometric functions; the expansion and representation of these functions ca...
متن کاملMulti-Dimensional Montgomery Ladders for Elliptic Curves
Montgomery’s ladder algorithm for elliptic curve scalar multiplication uses only the xcoordinates of points. Avoiding calculation of the y-coordinates saves time for certain curves. Montgomery introduced his method to accelerate Lenstra’s elliptic curve method for integer factoring. Bernstein extended Montgomery’s ladder algorithm by computing integer combinations of two points, thus accelerati...
متن کاملThree-Dimensional Ordering in Weakly Coupled Antiferromagnetic Ladders and Chains
A theoretical description is presented for low-temperature magnetic-field induced threedimensional (3D) ordering transitions in strongly anisotropic quantum antiferromagnets, consisting of weakly coupled antiferromagnetic spin-1/2 chains and ladders. First, effective continuum field theories are derived for the one-dimensional subsystems. Then the Luttinger parameters, which determine the low-t...
متن کاملFountain rainbows.
We present the first measurements of radiance spectra of rainbows. The bows on two sunny days (3 and 6 June 2008) were produced by the fountain in the Parque de las Ciencias, Granada, Spain, that consists of a rectangular perimeter of 40 spray nozzles. Optical thickness of the spray from each nozzle was approximately 0.5. Spectral purity of the primary bow was highest for orange and blue, reach...
متن کاملRainbows and fogbows.
The optics of rainbows and fogbows is investigated theoretically for monodisperse drops using Mie theory. Included in the calculations are a realistic solar illumination spectrum and the finite size of the sun. Drop sizes range from 3 to 300 microm (3800 > X > 38). Results are presented on the location, width, contrast, polarization, and color of both primary and secondary rainbows. Particular ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1996
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.54.5373