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RENORMALIZATIONGROUP:ANINTRODUCTION - Tsinghua …

RENORMALIZATION GROUP: AN INTRODUCTION. J. ZINN-JUSTIN*. CEA,IRFU and IPhT, Centre de Saclay, F-91191 Gif-sur-Yvette cedex, FRANCE. and (Shanghai University).. Email : The renormalization group has played a crucial role in 20th century physics in two apparently unrelated domains: the theory of fundamental interac- tions at the microscopic scale and the theory of continuous macroscopic phase transitions. In the former framework, it emerged as a consequence of the necessity of renormalization to cancel infinities that appear in a straight- forward interpretation of quantum field theory, and of the freedom of then defining the parameters of the renormalized theory at different momentum scales. In the statistical physics of phase transitions, a more general renormal- ization group, based on a recursive averaging over short distance degrees of freedom, was later introduced to explain the universal properties of contin- uous phase transitions.

The renormalization group has played a crucial role in 20th century physics in two apparently unrelated domains: the theory of fundamental interac-tions at the microscopic scale and the theory of continuous macroscopic phase transitions. …

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