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Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D7 (1973)
| Venue: | A. Linde, Phase Transitions in Gauge Theories |
| Citations: | 182 - 0 self |
BibTeX
@INPROCEEDINGS{Weinberg73radiativecorrections,
author = {Erick James Weinberg and Thank Jim Carazzone and Terry Goldman},
title = {Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D7},
booktitle = {A. Linde, Phase Transitions in Gauge Theories},
year = {1973},
pages = {389}
}
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Abstract
Using a functional formalism, we investigate the effect of radiative corrections on the possibility of spontaneous symmetry breaking. We find that in some models, in particular, massless gauge theories with scalar mesons, the radiative corrections can induce spontaneous symmetry breaking, even though the classical approximation indicates that the vacuum is symmetric. Among the consequences of this phenomenon is a relationship between the masses of the scalar and vector mesons, predicting (for small coupling constants) that the scalar mesons are much lighter. We also apply our analysis to models in which the classical approximation indicates an asymmetric vacuum, including one in which our methods are particularly useful because the classical approximation does not completely specify the nature of the vacuum. It is possible to improve our analysis by the use of renormalization group methods; we do this for several models. ii Acknowledgments I would like to thank my thesis advisor, Professor Sidney Coleman, for his assistance and encouragement. I am grateful to him for showing me that the best way to solve a difficult problem is often to not do the obvious. It has been a privilege to have worked with him. David Politzer has been of immeasurable assistance in this work; I have had innumerable enjoyable and fruitful conversations with him. In addition, he has helped me learn that two people working together can calculate Feynman diagrams with neither can calculate alone. I have profitted greatly from discussions with many faculty members, especially
Keyphrases
radiative correction spontaneous symmetry breaking classical approximation scalar meson functional formalism vector meson asymmetric vacuum massless gauge theory many faculty member immeasurable assistance small coupling constant difficult problem several model ii acknowledgment fruitful conversation renormalization group method professor sidney coleman spontaneous symmetry thesis advisor david politzer
