By Elliot Leader, Enrico Predazzi

ISBN-10: 0511622597

ISBN-13: 9780511622595

ISBN-10: 0521464684

ISBN-13: 9780521464680

ISBN-10: 052146840X

ISBN-13: 9780521468404

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

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Additional resources 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)

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7. Transitions involved in Gell-Mann's test of CVC. following processes IASI = 2, 74 n+e-+Pe, K+ 74 7f+ + 7f+ + e- + 1/e, AS = -OQ = -1, E+74 n+e++ve, AS = -OQ = 1, whereas, for example, the following reactions are seen to occur A-p+e +ve, OS=0Q=1, A-p+p-+PN,, OS=0Q=1, E--*n+e-+1/e, OS=LQ=1. For an excellent discussion of the physics of weak interactions see Wu and Moskowski (1966). 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.

1 A brief introduction to field theory 5 satisfy the canonical commutation relations (i = 1, 2) [ai, ai] = 0, It t ai , ai = 0, t [ai, ai ] = 1, but operators belonging to the independent fields 01, 02 must commute. In particular tl [a1, a2J = 0 if 01 i 02 are independent. If now we define new fields 0 1 = al0i + 0102, 02 = a202 + 0201, and demand that they be independent, then their al, ai , a2, a02 must satisfy the above commutation conditions. A little algebra shows that one requires I a112+1,3112 = Ia212+1/3212 = 1, aia2+0*02=0.

Note that la preserves the electron number and the muon number in the sense that it causes transitions e + ve and µ -+ vµ but not between e and v,, or p and ve. Formally one states that (e-, ve) have electron number +1, (e+, ve) have -1 and all other particles zero. Analogously (p-, vN,) have muon number +1, (p+, iN,) have -1 and all other particles zero. The validity of this structure is borne out by the absence of many reactions which would have been expected to be seen. Some examples are: 1.

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An Introduction to Gauge Theories and Modern Particle Physics 2 Volume Hardback Set (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology) (Vol.1) by Elliot Leader, Enrico Predazzi


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