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11,589
1. THE RUNNING COUPLING IN PER TURBATION THEORY
, 2001
"... The potential of a static quarkantiquark pair is studied in the range 0.05 fm ≤ r ≤ 0.8 fm, employing a sequence of lattices up to 64 4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The results are compared with the perturbation theory predictions o ..."
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The potential of a static quarkantiquark pair is studied in the range 0.05 fm ≤ r ≤ 0.8 fm, employing a sequence of lattices up to 64 4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The results are compared with the perturbation theory predictions
Contents
, 2007
"... Abstract: We algebraically prove the cancellation of the β function at all order of perturbation theory of N = 2 supersymmetric gauge theories with a vanishing oneloop β function. The proof generalises that recently given for the N = 4 case. It uses the consistent SlavnovTaylor identities of the ..."
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Abstract: We algebraically prove the cancellation of the β function at all order of perturbation theory of N = 2 supersymmetric gauge theories with a vanishing oneloop β function. The proof generalises that recently given for the N = 4 case. It uses the consistent SlavnovTaylor identities
BCJ Duality and the Double Copy in the Soft Limit
 Journal of High Energy Physics
"... We examine the structure of infrared singularities in QCD and quantum General Relativity, from the point of view of the recently conjectured double copy property which relates scattering amplitudes in nonAbelian gauge theories with gravitational counterparts. We show that IR divergences in both the ..."
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Cited by 5 (0 self)
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theories are consistent with the double copy procedure, to all orders in perturbation theory, thus providing all looplevel evidence for the conjecture. We further comment on the relevance, or otherwise, to the socalled dipole formula, a conjecture for the complete structure of IR singularities in QCD. 1
physics pp. 1235–1246 Lattice mechanical properties of some fcc fshell metals
"... Abstract. A pseudopotential depending on an effective core radius is proposed to study the binding energy, equation of state, ion–ion interaction, phonon dispersion curves (qspace and rspace analysis), mode Grüneisen parameters and dynamical elastic constants of some fcc fshell metals La, Yb, C ..."
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, Ce and Th. The contribution of the slike electrons is calculated in the secondorder perturbation theory for the potential while d and flike electron is taken into account by introducing repulsive shortrange Born–Mayer term. The parameter of the potential is evaluated by zero pressure condition
Textbook Treatments of Quantum Electromagnetic Interaction: Pedagogical and Conceptual Problems1
"... In this paper we review and discuss the approaches used, almost universally, in textbooks dealing with Quantum Mechanics, and particularly those focused on optoelectronics devices, to explain the atomfield interactions. For this purpose, true understanding and careful use of the 1storder perturb ..."
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In this paper we review and discuss the approaches used, almost universally, in textbooks dealing with Quantum Mechanics, and particularly those focused on optoelectronics devices, to explain the atomfield interactions. For this purpose, true understanding and careful use of the 1storder perturbation
P o S(LC2008)001 Finite Field Theories and Causality
, 2008
"... A condensed introduction to the basic concepts of causal perturbation theory is given. Causal perturbation theory is a mathematically rigorous approach to renormalization theory, which makes it possible to put the theoretical setup of perturbative quantum field theory on a sound mathematical basis ..."
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A condensed introduction to the basic concepts of causal perturbation theory is given. Causal perturbation theory is a mathematically rigorous approach to renormalization theory, which makes it possible to put the theoretical setup of perturbative quantum field theory on a sound mathematical basis
Analysis of the Cholesky decomposition of a semidefinite matrix
 in Reliable Numerical Computation
, 1990
"... Perturbation theory is developed for the Cholesky decomposition of an n × n symmetric positive semidefinite matrix A of rank r. The matrix W = A −1 11 A12 is found to play a key role in the perturbation bounds, where A11 and A12 are r × r and r × (n − r) submatrices of A respectively. A backward er ..."
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Cited by 65 (4 self)
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. The results give new insight into the reliability of these decompositions in rank estimation. Key words. Cholesky decomposition, positive semidefinite matrix, perturbation theory, backward error analysis, QR decomposition, rank estimation, LINPACK.
Application of A4 Perturbation Theory in Calculating the Equation of State of Rare Gas Solids and fcc Metals
, 1984
"... iAbstract We have calculated the thermodynamic properties of monatomic fcc crystals from the high temperature limit of the Helmholtz free energy. This equation of state included the static and vibrational energy components. The latter contribution was calculated to order A4 of perturbation theory, ..."
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iAbstract We have calculated the thermodynamic properties of monatomic fcc crystals from the high temperature limit of the Helmholtz free energy. This equation of state included the static and vibrational energy components. The latter contribution was calculated to order A4 of perturbation theory
REGULARIZATION OF GAUGE FIELD THEORIES*
"... YangMills gauge field theories form the basis of the new class of renormalizable theories 2 of weak and electromagnetic interactions. f The renormalizability of these theories depends crucially upon the high degree of symmetry implied by the exact local gauge invariance of the initial lagrangian. U ..."
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. Unfortunately, the divergences encountered in the Feynman amplitudes of perturbation theory may prevent the implementation of these symmetries in higher order. Indeed. 1 the wellknown Adler, Bell. and Jackiw Wardidentity anomalies of the free spinor loop provide an €!xample where the full gauge symmetry
Results 1  10
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11,589