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AlgebraicNumerical Evaluation of Feynman Diagrams: TwoLoop SelfEnergies
, 2001
"... A recently proposed scheme for numerical evaluation of Feynman diagrams is extended to cover all twoloop twopoint functions with arbitrary internal and external masses. The adopted algorithm is a modification of the one proposed by F. V. Tkachov and it is based on the socalled generalized Bernste ..."
Abstract

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A recently proposed scheme for numerical evaluation of Feynman diagrams is extended to cover all twoloop twopoint functions with arbitrary internal and external masses. The adopted algorithm is a modification of the one proposed by F. V. Tkachov and it is based on the socalled generalized Bernstein functional relation. Onshell derivatives of selfenergies are also considered and their infrared properties analyzed to prove that the method which is aimed to a numerical evaluation of massive diagrams can handle the infrared problem within the scheme of dimensional regularization. Particular care is devoted to study the general massive diagrams around their leading and nonleading Landau singularities.
Revised version Mathematical surprises and Dirac’s
, 2000
"... formalism in quantum mechanics 1 ..."
Contents
, 2001
"... The general status of neutrino physics are given. The history of the neutrino, starting from Pauli and Fermi, is presented. The phenomenological VA theory of the weak interaction and the unified theory of the weak and electromagnetic interactions, the socalled Standard Model, are discussed. The pr ..."
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The general status of neutrino physics are given. The history of the neutrino, starting from Pauli and Fermi, is presented. The phenomenological VA theory of the weak interaction and the unified theory of the weak and electromagnetic interactions, the socalled Standard Model, are discussed. The problems of of neutrino masses, neutrino mixing, and neutrino oscillations are discussed in some details.
The Color Charge Degree of Freedom in Particle Physics
, 805
"... We review the color charge degree of freedom in particle physics. Color has two facets in particle physics. One is as a threevalued charge degree of freedom, analogous to electric charge as a degree of freedom in electromagnetism. The other is as a gauge symmetry, analogous to the U(1) gauge theory ..."
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We review the color charge degree of freedom in particle physics. Color has two facets in particle physics. One is as a threevalued charge degree of freedom, analogous to electric charge as a degree of freedom in electromagnetism. The other is as a gauge symmetry, analogous to the U(1) gauge theory of electromagnetism. Color as a threevalued charge degree of freedom was introduced by Oscar W. Greenberg [1] in 1964. Color as a gauge symmetry was introduced by Yoichiro Nambu [2] and by Moo Young Han and Yoichiro Nambu [3] in 1965. The union of the two contains the essential ingredients of quantum chromodynamics, QCD. The word “color ” in this context is purely colloquial and has no connection with the the color that we see with our eyes in everyday life. The theoretical and experimental background to the discovery of color centers around events in 1964. In 1964 Murray GellMann [4] and George Zweig [5] independently proposed what are now called “quarks, ” particles that are constituents of the observed strongly interacting particles, “hadrons, ” such as protons and neutrons. Quarks gave a simple way to account for the quantum numbers of the hadrons. However quarks were paradoxical in that they had fractional values of their electric charges, but no such fractionally charged particles had been observed. Three “flavors ” of quarks, up, down, and strange, were known at that time. The group SU(3)flavor, acting on these three flavors, gave an approximate symmetry that led to mass formulas for the hadrons constructed with these quarks. However the spin 1/2 of the quarks was not included in the model. 1
The Color Charge Degree of Freedom in Particle Physics
, 805
"... We review the color charge degree of freedom in particle physics. Color has two facets in particle physics. One is as a threevalued charge degree of freedom, analogous to electric charge as a degree of freedom in electromagnetism. The other is as a gauge symmetry, analogous to the U(1) gauge theory ..."
Abstract
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We review the color charge degree of freedom in particle physics. Color has two facets in particle physics. One is as a threevalued charge degree of freedom, analogous to electric charge as a degree of freedom in electromagnetism. The other is as a gauge symmetry, analogous to the U(1) gauge theory of electromagnetism. Color as a threevalued charge degree of freedom was introduced by Oscar W. Greenberg [1] in 1964. Color as a gauge symmetry was introduced by Yoichiro Nambu [2] and by Moo Young Han and Yoichiro Nambu [3] in 1965. The union of the two contains the essential ingredients of quantum chromodynamics, QCD. The word “color ” in this context is purely colloquial and has no connection with the color that we see with our eyes in everyday life. The theoretical and experimental background to the discovery of color centers around events in 1964. In 1964 Murray GellMann [4] and George Zweig [5] independently proposed what are now called “quarks, ” particles that are constituents of the observed strongly interacting particles, “hadrons, ” such as protons and neutrons. Quarks gave a simple way to account for the quantum numbers of the hadrons. However quarks were paradoxical in that they had fractional values of their electric charges, but no such fractionally charged particles had been observed. Three “flavors ” of quarks, up, down, and strange, were known at that time. The group SU(3)flavor, acting on these three flavors, gave an approximate symmetry that led to mass formulas for the hadrons constructed with these quarks. However the spin 1/2 of the quarks was not included in the model. 1
Quantum Computation: A Computer Science Perspective
, 2005
"... The theory of quantum computation is presented in a self contained way from a computer science perspective. The basics of classical computation and quantum mechanics is reviewed. The circuit model of quantum computation is presented aspects of computation and the interplay between them. This report ..."
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The theory of quantum computation is presented in a self contained way from a computer science perspective. The basics of classical computation and quantum mechanics is reviewed. The circuit model of quantum computation is presented aspects of computation and the interplay between them. This report is presented as a Master’s thesis at the department of Computer Science and Engineering at Göteborg University, Göteborg, Sweden. The text is part of a larger work that is planned to include chapters on quantum algorithms, the quantum Turing machine model and abstract approaches to quantum computation.