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Vacuum nucleon loops and naturalness
Affiliation:1. Department of Physics, The Ohio State University, Columbus, OH 43210, USA;2. Department of Physics and Nuclear Theory Center, Indiana University, Bloomington, IN 47405, USA;3. Department of Physics, University of Minnesota, Minneapolis, MN 55455, USA;1. Department of Astronomy, School of Physical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China;2. CAS Key Laboratory for Researches in Galaxies and Cosmology, School of Astronomy and Space Science, University of Science and Technology of China, Hefei, Anhui 230026, China;3. Kavli Institute for the Physics and Mathematics of the Universe (WPI), UTIAS, The University of Tokyo, Chiba 277-8583, Japan;4. Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan;5. Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 10617, Taiwan;6. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK;7. Department of Physics, Princeton University, Princeton, NJ 08544, USA;1. College of Bioresource Sciences, Nihon University, Fujisawa 252-8510, Japan;2. National Astronomical Observatory of Japan, 2-21-1 Osawa, Mitaka, Tokyo 181-8588, Japan;3. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Naka, Ibaraki 319-1195, Japan;4. Department of Physics, University of Wisconsin, Madison, WI 53706, USA;5. Department of Physics and OMEG Institute, Soongsil University, Seoul, 156-743, Republic of Korea;6. School of Physics, Int. Research Center for Big-Bang Cosmology and Element Genesis, Beihang University, Beijing 100083, China;7. Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan;8. Center of Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA;1. Instituto de Física de Buenos Aires, Pabellón I, Ciudad Universitaria, 1428 Buenos Aires, Argentina;2. Unidad de Investigación y Desarrollo de las Ingenierías, Universidad Tecnológica Nacional, Facultad Regional Buenos Aires, Av. Medrano 951, 1179 Buenos Aires, Argentina;3. University of Texas at El Paso, El Paso, TX 79968, USA;1. Matej Bel University, SK-97401 Banska Bystrica, Slovakia;2. National Research Nuclear University “MEPhI”, RU-115409 Moscow, Russia
Abstract:Phenomenological studies support the applicability of naturalness and naive dimensional analysis to hadronic effective lagrangians for nuclei. However, one-baryon-loop vacuum contributions in renormalizable models give rise to unnatural coefficients, which indicates that the quantum vacuum is not described adequately. The effective lagrangian framework accommodates a more general characterization of vacuum contributions without reference to a Dirac sea of nucleons.
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