Effective Field Theories

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World Scientific, Nov 18, 2015 - Science - 320 pages
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This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.
 

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Contents

1 Introduction
1
2 Symmetries
9
3 Elementary Techniques
41
4 Effective Field Theories of Type I
65
5 Effective Field Theories of Type II Part A
107
6 Effective Field Theories of TypeII Part B
145
7 Effective Field Theories of TypeIII Fast Particles in Effective Theories
171
8 Standard Model as an Effective Field Theory
203
9 Effective Field Theories of Gravity
219
10 Outlook
249
Appendix A Review of Group Theory
253
Appendix B Short Review of QED and QCD
269
Appendix C Useful Features of Dimensional Regularization
279
Bibliography
291
Index
301
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