On the renormalization of topological Yang-Mills field theory in N = 1 superspace |
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| Affiliation: | 1. School of Engineering, University of North Florida, Jacksonville, FL 32224, USA;2. Department of Mechanical, Aeronautical and Biomedical Engineering, University of Limerick, Limerick, Ireland;1. Department of Natural Sciences, Mid Sweden University, SE-87170 Sundsvall, Sweden;2. Department of Electronics Design, Mid Sweden University, SE-87170 Sundsvall, Sweden;1. Department of Medical Parasitology, School of Medicine, Zabol University of Medical Sciences, Zabol, Iran;2. Department of Medical Genetics, School of Medicine, Zabol University of Medical Sciences, Zabol, Iran;3. Department of Anesthesiology, Zabol University of Medical Sciences, Zabol, Iran;4. Clinical Research Development Unit, Zabol University of Medical Sciences, Zabol, Iran;5. Department of Medical Parasitology, School of Medicine, Shahid Beheshti University of Medical Sciences, Tehran, Iran;6. School of Medicine, Bam University of Medical Sciences, Bam, Iran;7. Infectious Diseases and Tropical Medicine Research Center, Zahedan University of Medical Sciences, Zahedan, Iran;8. Maragheh University of Medical Sciences, Department of Basic Sciences, Maragheh, Iran;9. Cellular and Molecular Research Center, Basic Health Sciences Institute, Shahrekord University of Medical Sciences, Shahrekord, Iran;1. Middlesex University, United Kingdom;2. University of Leeds, United Kingdom;3. Kingston University, United Kingdom;1. Department of Physics, Ewha Womans University, Seoul 120-750, Republic of Korea;2. Institute for the Early Universe, Ewha Womans University, Seoul 120-750, Republic of Korea |
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| Abstract: | We discuss the renormalization aspects of topological super-Yang-Mills field theory in N = 1 superspace. Our approach makes use of the regularization-independent BRS algebraic technique adapted to the case of an N = 1 supersymmetric model. We give the expression of the most general local counterterm to the classical action to all orders of the perturbative expansion. The counterterm is shown to be a BRS coboundary, implying that the cohomological properties of the supertopological theory are not affected by quantum effects. We also demonstrate the vanishing of the Callan-Symanzik β-function of the model by employing a recently discovered supersymmetric antighost Ward identity. |
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