An Introduction to Gauge Theories and Modern Particle by Elliot Leader, Enrico Predazzi

By Elliot Leader, Enrico Predazzi

Chief and Predazzi have written an exsellent textual content for graduate scholars. They hide the big variety of subject matters in nice readability. specially within the bankruptcy approximately renormalization they reach featuring the center intimately with no technical obfuscation.

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Additional info for An Introduction to Gauge Theories and Modern Particle Physics 2 Volume Hardback Set (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology) (Vol.1)

Example text

6) since charge is to be conserved every term in G must be neutral. Thus every term involving a 0 must be multiplied by a term involving Of. 5). In other words G does not depend on the phases of the O1, which are therefore unmeasurable. 5) becomes _ -iftoj(x).

We shall see later that this estimate is close to what is suggested in the unified theory of weak and electromagnetic interactions. When these ideas were first developed, there was no hint, experimen- tally, of the actual existence of W bosons. The situation has changed dramatically in the last few years and Ws and their neutral counterparts Z°s are produced copiously at CERN, in Geneva, and at Fermilab, near Chicago, in a+e-, pp and pp collisions. 2 Towards a renormalizable theory We have seen that the introduction of vector bosons goes in the right direction but does not remove all the diseases of the current-current form of the weak Lagrangian.

For a modern theoretical treatment and a critical analysis of the status of the theory see Bailin (1982). 3 The spin and isospin structure We shall here derive some very useful technical properties of the structure of the classical weak interaction Lagrangian. These results will be utilized constantly in the following chapters. 10 of Bjorken and Drell, 1964). 1) (E >> m). 'Y5VL = VL These results are only true to the extent that E >> m. For massless neutrinos they are, of course, exactly true. 4) only involves left-handed neutrinos.

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