منابع مشابه
The Nielsen Identities of the SM and the definition of mass
In a generic gauge theory the gauge parameter dependence of individual Green functions is controlled by the Nielsen identities, which originate from an enlarged BRST symmetry. We give a practical introduction to the Nielsen identities of the Standard Model (SM) and to their renormalization and illustrate the power of this elegant formalism in the case of the problem of the definition of mass. W...
متن کاملThe Nielsen Identities for the Two - Point Functions of QED and QCD
We consider the Nielsen identities for the two-point functions of full QCD and QED in the class of Lorentz gauges. For pedagogical reasons the identities are first derived in QED to demonstrate the gauge independence of the photon self-energy, and of the electron mass shell. In QCD we derive the general identity and hence the identities for the quark, gluon and ghost propagators. The explicit c...
متن کاملThe Nielsen-Thurston Classification Theorem
Overview: The Nielsen-Thurston Classification Theorem asserts that every element of MCG(Sg) (g ≥ 2) exhibits one of three types of simple behavior. It either has finite order, fixes a nonempty set of of isotopy classes of essential, simple closed curves (reducible), or stretches along a pair of transverse measured foliations in an area-preserving way (pseduo-Anosov). Bers’ strategy for proving ...
متن کاملBent Nielsen : Econometric Modeling
is published by Princeton University Press and copyrighted, © 2007, by Princeton University Press. All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher, except for reading and browsing via the World Wide Web. Users ar...
متن کاملRelations for Nielsen polylogarithms
Polylogarithms appear in many diverse fields of mathematics. Herein, we investigate relations amongst Nielsen polylogarithms, both generic and at special arguments including the sixth roots of unity. The relations are explicitly exhibited in the case of low weights. All of this work relies heavily on symbolic and numeric computation. For use in applications all results are implemented and acces...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1999
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)00554-7