Renormalisation of Composite Operators in Lattice QCD
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Total Pages | : 7 |
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Author | : Thomas DeGrand |
Publisher | : World Scientific |
Total Pages | : 363 |
Release | : 2006 |
Genre | : Science |
ISBN | : 9812773983 |
At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.
Author | : Laurent Lellouch |
Publisher | : Oxford University Press |
Total Pages | : 756 |
Release | : 2011-08-25 |
Genre | : Mathematics |
ISBN | : 0199691606 |
The aim of the book is to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations.
Author | : Huey-Wen Lin |
Publisher | : Springer |
Total Pages | : 255 |
Release | : 2014-11-21 |
Genre | : Science |
ISBN | : 3319080229 |
With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.
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We compute non-perturbatively the renormalization constants of composite operators on a quenched 163 x 28 lattice with lattice spacing a = 0.20 fm for the overlap fermion by using the regularization independent (RI) scheme. The quenched gauge configurations were generated with the Iwasaki action. We test the relations Z{sub A} = Z{sub V} and Z{sub S} = Z{sub P} and find that they agree well (less than 1%) above [mu] = 1.6 GeV. We also perform a Renormalization Group (RG) analysis at the next-to-next-to-leading order and match the renormalization constants to the {ovr MS} scheme. The wave-function renormalization Z{sub {psi}} is determined from the vertex function of the axial current and Z{sub A} from the chiral Ward identity. Finally, we examine the finite quark mass behavior for the renormalization factors of the quark bilinear operators. We find that the (pa)2 errors of the vertex functions are small and the quark mass dependence of the renormalization factors to be quite weak.
Author | : Yoshinobu Kuramashi |
Publisher | : World Scientific |
Total Pages | : 323 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9812700005 |
This book consists of a series of lectures to cover every facet of the modern version of lattice QCD. All the lectures are self-contained starting with the necessary background material and ending up with the latest development. Most of the lectures are given by pioneers in the field.This book may be useful as an advanced textbook for graduate students in particle physics and its modern and fascinating contents will inspire the interest of the non-experts.
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Total Pages | : 33 |
Release | : 2007 |
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Author | : Luciano Maiani |
Publisher | : World Scientific |
Total Pages | : 484 |
Release | : 2016-08-25 |
Genre | : Science |
ISBN | : 9814733520 |
'The editors make a good point in claiming the time has come to upgrade the Standard Model into the ‘Standard Theory’ of particle physics, and I think this book deserves a place in the bookshelves of a broad community, from the scientists and engineers who contributed to the progress of high-energy physics to younger physicists, eager to learn and enjoy the corresponding inside stories.'Carlos LourençoCERN CourierThe book gives a quite complete and up-to-date picture of the Standard Theory with an historical perspective, with a collection of articles written by some of the protagonists of present particle physics. The theoretical developments are described together with the most up-to-date experimental tests, including the discovery of the Higgs Boson and the measurement of its mass as well as the most precise measurements of the top mass, giving the reader a complete description of our present understanding of particle physics.