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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 16, 2013
N=1/2 Wess-Zumino model is renormalizable
1Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA. britto@ias.edu
Physical Review Letters
|December 20, 2003
Summary
The Wess-Zumino model is renormalizable on nonanticommutative superspace, even with higher-dimension operators. This is achieved by adding specific terms to the Lagrangian, enabling its use in string theory contexts.
Area of Science:
- Theoretical physics
- Quantum field theory
- String theory
Background:
- The Wess-Zumino model is a fundamental construct in quantum field theory.
- Nonanticommutative superspace introduces unique challenges in theoretical frameworks.
- Higher-dimension operators can complicate renormalizability in field theories.
Purpose of the Study:
- To investigate the renormalizability of the Wess-Zumino model on N=1/2 nonanticommutative superspace.
- To determine the conditions under which a dimension-6 operator (F3) can be incorporated.
- To explore the implications for string theory with graviphoton backgrounds.
Main Methods:
- Perturbation theory analysis to all orders.
- Modification of the original Lagrangian by adding F and F2 terms.
- Examination of the non-Hermitian nature of the deformed Lagrangian.
Main Results:
- The Wess-Zumino model on N=1/2 nonanticommutative superspace is shown to be renormalizable to all orders.
- Renormalizability is achieved by including F and F2 terms alongside the dimension-6 F3 operator.
- The non-Hermitian property of the Lagrangian is crucial for this renormalizability.
Conclusions:
- The inclusion of higher-dimension operators in the Wess-Zumino model on nonanticommutative superspace is compatible with renormalizability.
- This finding supports the relevance of such deformed field theories in string theory.
- The study provides a framework for understanding complex quantum field theories in non-trivial backgrounds.
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