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Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics)
 
 
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Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics) [Paperback]

John C. Collins (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

January 31, 1986 0521311772 978-0521311779
Most of the numerical predictions of experimental phenomena in particle physics over the last decade have been made possible by the discovery and exploitation of the simplifications that can happen when phenomena are investigated on short distance and time scales. This book provides a coherent exposition of the techniques underlying these calculations. After reminding the reader of some basic properties of field theories, examples are used to explain the problems to be treated. Then the technique of dimensional regularization and the renormalization group. Finally a number of key applications are treated, culminating in the treatment of deeply inelastic scattering.

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Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics) + Quantum Field Theory (Dover Books on Physics) + Quantum Mechanics and Path Integrals: Emended Edition (Dover Books on Physics)
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Editorial Reviews

Review

"...a thorough yet uncluttered analysis that leaves one with a firm grasp of the important points." Science

"...a thorough, well-organized treatment of the subject of renormalization." Physics in Canada

Book Description

A coherent exposition of the technique underlying the numerical calculations of experimental phenomena in the physics of elementary particles. The book explains in depth the technique of dimensional regularization, renormalization, and the renormalization group.

Product Details

  • Paperback: 392 pages
  • Publisher: Cambridge University Press (January 31, 1986)
  • Language: English
  • ISBN-10: 0521311772
  • ISBN-13: 978-0521311779
  • Product Dimensions: 8.9 x 6 x 1.2 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,532,421 in Books (See Top 100 in Books)

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10 of 12 people found the following review helpful:
5.0 out of 5 stars Very useful for the student who practices renormalization for the first time, January 18, 2007
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This review is from: Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics) (Paperback)
It really shed light on some concepts that other books simply do not discuss. It is also the only one I know that gives a theoretical basis for understanding dimensional regularization.
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Inside This Book (learn more)
First Sentence:
The structure of a quantum field theory often simplifies when one considers processes involving large momenta or short distances. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
overall counterterm, counterterm graphs, counterterm vertices, renormalized composite operators, using minimal subtraction, overall divergent, forest formula, renormalization prescription, unrenormalized value, overall divergence, heavy graphs, mass mph, three times with respect, finite counterterms, decoupling theorem, counterterm vertex, renormalized operators, divergent subgraphs, renormalization counterterms, loop momenta, external momenta, dimensional continuation, renormalization condition, renormalized field, tadpole graphs
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