review1 - #HUTP-93/A003 1/93 Effective Field Theory *...

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Unformatted text preview: #HUTP-93/A003 1/93 Effective Field Theory * Howard Georgi Lyman Laboratory of Physics Harvard University Cambridge, MA 02138 * Research supported in part by the National Science Foundation under Grant #PHY-8714654. Research supported in part by the Texas National Research Laboratory Commission, under Grant #RGFY9206. To appear in Annual Review of Nuclear and Particle Science, vol. 43 . Contents Prologue 3 1 Effective Field Theory 3 1.1 The principles of effective field theory . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Wilson versus continuum EFT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 Why continuum effective field theory? . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 Roots 10 2.1 Chiral Lagrangians . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2 Gauge model building . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.3 Renormalization logs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.4 Mass independent schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.5 Back to Appelquist-Carazone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.6 Witten, Gilman-Wise, and heavy quarks . . . . . . . . . . . . . . . . . . . . . . . . 19 3 Integrating Out versus Matching 19 3.1 Matching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2 The operator product expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 4 Applications 28 4.1 Symmetries at low energies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 4.2 Composite Higgs bosons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 4.3 Above the Z . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 4.4 Resumming large radiative corrections . . . . . . . . . . . . . . . . . . . . . . . . . 34 4.5 Nonperturbative matching corrections . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Acknowledgements 43 References 43 Prologue When I agreed to write this review article (in a moment of weakness) in 1991, I didnt really realize how poorly suited I am to this kind of activity. As I gathered ideas and materials for the article over the next year, it dawned on me that I hadnt even read a review article in 25 years. Im not quite sure what they are good for. Obviously, I cannot summarize all the work that has gone on in the field in any detail. I could try to give a guide to the literature, but it is easy to summarize the proper approach to the old literature on this (or almost any) subject. Two words suffice. Ignore it! With rare exceptions, old papers are difficult to read because the issues have changed over the years....
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review1 - #HUTP-93/A003 1/93 Effective Field Theory *...

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