Quadratic divergences in dimensional-regularization finite quantum field theories |
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| Institution: | 1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada;2. Department of Mathematics, University of Denver, Denver, CO 80208, USA;3. Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA;1. University of Debrecen, P.O.Box 105, H-4010 Debrecen, Hungary;2. SISSA, via Bonomea 265, I-34136 Trieste, Italy;3. CNR-IOM DEMOCRITOS Simulation Center, Via Bonomea 265, I-34136 Trieste, Italy;4. MTA-DE Particle Physics Research Group, P.O.Box 51, H-4001 Debrecen, Hungary;5. MTA Atomki, P.O. Box 51, H-4001 Debrecen, Hungary;1. Wigner Research Centre for Physics, Konkoly-Thege Miklós u. 29-33, 1121 Budapest, Hungary;2. Roland Eötvös University, Pázmány s. 1/A, 1117 Budapest, Hungary;3. Department of Molecular Cell Biology and Max Planck Institute of Biochemistry, Am Klopferspitz 18, 82152 Martinsried, Germany;4. Research Group DNA Replication and Genome Integrity, Max Planck Institute of Biochemistry, Am Klopferspitz 18, 82152 Martinsried, Germany |
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| Abstract: | In the search for finite quantum field theories, a set of (supersymmetric as well as non-supersymmetric) models has been singled out by demanding one-loop finiteness in dimensional regularization. We demonstrate that the additional requirement of absence of quadratic divergences provides a clear distinction within this set: only the supersymmetric theories are also free from quadratic divergences whereas the non-supersymmetric models are still quadratically divergent. |
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