Supersymmetry transformation of quantum fields |
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| Institution: | 1. NIHR University College London Hospitals Biomedical Research Centre, Department of Clinical and Experimental Epilepsy, UCL Institute of Neurology, London WC1N 3BG, UK;2. UCL Institute of Child Health, Great Ormond Street Hospital for Children, London WC1N 1EH, UK;3. Centre for Behavioural Medicine, Department of Practice and Policy, UCL School of Pharmacy, London WC1H 9JP, UK;4. Department of Nutrition & Dietetics, Cambridge University Hospitals NHS Foundation Trust, Cambridge Biomedical Campus, Cambridge CB2 0QQ, UK;5. Young Epilepsy, Lingfield RH7 6PW, UK;6. Epilepsy Society, Chalfont St Peter SL9 0RJ, UK;7. Stichting Epilepsie Instellingen Nederland (SEIN), Heemstede, The Netherlands |
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| Abstract: | If supersymmetry is realized non-linearly as is the case when auxiliary fields are eliminated and/or one works in the Wess–Zumino gauge it is usually incorporated in terms of BRS transformations and Slavnov–Taylor identities. On the vertex functional susy transformations act even non-locally. Furthermore, the gauge fixing term breaks supersymmetry. In the present paper we clarify in which sense supersymmetry is still a symmetry of the system and how it is realized on the level of quantum fields. We treat the Wess–Zumino model as an example for chiral models, SQED and massless SYM as prototypes of gauge theories. |
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