Algebraic renormalization : perturbative renormalization, - download pdf or read online

By Olivier Piguet, Silvio P. Sorella

ISBN-10: 354059115X

ISBN-13: 9783540591153

The assumption of this booklet originated from sequence of lectures given through us on the Physics division of the Catholic collage of Petr6polis, in Brazil. Its objective is to provide an advent to the "algebraic" approach within the perturbative renormalization of relativistic quantum box idea. even supposing this method is going again to the pioneering works of Symanzik within the early Seventies and used to be systematized by way of Becchi, Rouet and Stora as early as 1972-1974, its complete price has no longer but been largely preferred by means of the practitioners of quantum box idea. Becchi, Rouet and Stora have, in spite of the fact that, proven it to be a strong instrument for proving the renormalizability of theories with (broken) symmetries and of gauge theories. we now have hence discovered it pertinent to assemble in a self-contained demeanour the on hand details on algebraic renormalization, which used to be formerly scattered in lots of unique papers and in a number of older evaluation articles. even though we now have taken care to conform the extent of this booklet to that of a po- graduate (Ph. D. ) direction, extra complex researchers also will definitely locate it worthwhile. The deeper wisdom of renormalization thought we are hoping readers will collect may also help them to stand the tricky difficulties of quantum box concept. it's going to even be very valuable to the extra phenomenology orientated readers who are looking to famili- ize themselves with the formalism of renormalization conception, a need in view of the delicate perturbative calculations presently being performed, specifically within the usual version of particle interactions.

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Additional resources for Algebraic renormalization : perturbative renormalization, symmetries and anomalies

Example text

22] . . 169 Dirac equation (generalized) . . . . . . . . . . . . . . . . . . . 174 Representations of the Lorentz group . . . . . . . . . . . . . . . 181 End of Quaderno 4 . . . . . . . . . . . . . . . . . . . . . . . . 187 Enclosures Calculations for atomic eigenfunctions (3 pages) . . . . . . 74/1÷74/3 Calculations for atomic eigenfunctions (3 pages) . . . . . 106/1÷106/3 Relativistic motion of a particle; hypergeometric functions (2 pages) .

2] . . . . . . . . . . . . . . . . . . . . . . . . . . 101/1÷101/4 TABLE OF CONTENTS xlv Quaderno 3 Dirac theory generalized to higher spins . . . . . . . . . . . . . . . 1 Maxwell equations . . . . . . . . . . . . . . . . . . . . . . . . . 11 Maxwell equations in the Dirac-like form . . . . . . . . . . . . . . 20 Table of contents of several topics? . . . . . . . . . . . .

96 Maxwell equations . . . . . . . . . . . . . . . . . . . . . . . . 100 Atomic spectral terms (angular momentum operators) . . . . . . 71-73) . . . . . . . . . . . . . 109 Maxwell equations (variational principle) . . . . . . . . . . . . . 109-116) . . . . . . . . . . . . 119 6 (almost) blank pages . . . . . . . . . . . . . . . . . . . . . . 124 Table of integrals . . . . . . . . . . . . . .

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Algebraic renormalization : perturbative renormalization, symmetries and anomalies by Olivier Piguet, Silvio P. Sorella


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