Constraining differential renormalization in abelian gauge theories
F. del Aguila,A. Culatti,A. Culatti,R. Muñoz Tapia,Manuel Pérez-Victoria,Manuel Pérez-Victoria +5 more
TLDR
In this paper, a procedure of differential renormalization at the one loop level is presented to preserve abelian gauge invariance, where the amplitudes are expressed in terms of a basis of singular functions and local terms appearing in the renormalisation of these functions are determined by requiring consistency with the propagator equation.About:
This article is published in Physics Letters B.The article was published on 1998-02-11 and is currently open access. It has received 38 citations till now. The article focuses on the topics: Functional renormalization group & Gauge fixing.read more
Citations
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Automated one-loop calculations in four and D dimensions
TL;DR: In this article, two program packages for evaluating one-loop amplitudes are presented, which can work either in dimensional regularization or in constrained differential renormalization, and they are shown to be equivalent to regularization by dimensional reduction.
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Full one-loop corrections to the relic density in the MSSM: A Few examples
TL;DR: In this paper, the impact of the electroweak, and in one instance the QCD, one-loop corrections on the relic density of dark matter in the MSSM which is provided by the lightest neutralino is discussed.
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Automatic calculations in high energy physics and GRACE at one-loop
G. Bélanger,F. Boudjema,Junpei Fujimoto,Tadashi Ishikawa,Takashi Kaneko,Kiyoshi Kato,Yoshimitsu Shimizu,Yoshimitsu Shimizu +7 more
TL;DR: In this article, the authors describe the main building blocks of a generic automated package for the calculation of Feynman diagrams, including the generation and creation of a model file, the graph generation, the symbolic calculation at an intermediate level of the Dirac and tensor algebra, implementation of the loop integrals, the generation of the matrix elements or helicity amplitudes, methods for the phase space integrations and eventually the event generation.
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A four-dimensional approach to quantum field theories
TL;DR: In this article, a four-dimensional regularization/renormalization approach (FDRF) was proposed to regularize UV divergences in field theories, which can be interpreted as a natural separation between physical and non-physical degrees of freedom.
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Techniques for one-loop calculations in constrained differential renormalization
F. del Aguila,A. Culatti,A. Culatti,R. Muñoz Tapia,Manuel Pérez-Victoria,Manuel Pérez-Victoria +5 more
TL;DR: In this article, the constrained procedure of differential renormalization is described and the techniques required for one-loop calculations are developed for scalar QED and the two-, three-and four-point Ward identities are automatically satisfied.
References
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Differential regularization and renormalization: a new method of calculation in quantum field theory
TL;DR: In this paper, a new method of regularization is developed in which singular functions are written as derivatives of less singular functions which contain a logarithmic mass scale, and the Fourier transform is then defined by formal integration by parts.
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Systematic Differential Renormalization to All Orders
TL;DR: In this article, the authors present a systematic implementation of differential renormalization to all orders in perturbation theory and apply it to individual Feynman graphs written in coordinate space.
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Conformal symmetry and differential regularization of the three-gluon vertex
TL;DR: The conformal symmetry of the QCD Lagrangian for massless quarks is broken both by renormalization effects and the gauge fixing procedure as discussed by the authors, and it is not clear why the expected breaking due to gauge fixing is absent.
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Differential renormalization of massive quantum field theories
TL;DR: In this paper, the authors extend the method of differential renormalization to massive quantum field theories, treating in particular λϕ 4 -theory and QED, and find, in particular, compact explicit coordinate space expressions for the finite parts of two notably complicated diagrams, namely, the two-loop two-point function and the one-loop vertex in QED.
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Supersymmetric sum rules on magnetic dipole moments of arbitrary-spin particles
Sergio Ferrara,Massimo Porrati +1 more
TL;DR: In this article, the magnetic dipole moments of all particles within a massive N = 1 supermultiplet in terms of a single free parameter were determined for any theory with unbroken n = 1 supersymmetry.