A scaling limit with many noncommutativity parameters |
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| Institution: | 1. Özyeğin University, Faculty of Business, Turkey;2. Wayne State University, Mike Ilitch School of Business, 2771 Woodward Avenue, Room 267, Detroit, MI 48201, United States of America;1. College of Electronic Science, National University of Defence Technology, Changsha, China;2. College of Meteorology and Oceanography, National University of Defence Technology, Changsha, China;1. Defence Science and Technology Group, 506 Lorimer St., Fishermans Bend, VIC 3207, Australia;2. U.S. Army Research Laboratory, Aberdeen Proving Ground, MD 21005-5066, USA;1. Department of Chemistry, Utkal University, Bhubaneswar, Odisha 751004, India;2. School of Chemical Sciences, National Institute of Science Education and Research, HBNI, Bhubaneswar, Odisha 752050, India;3. Department of Chemistry, Indian Institute of Technology Bhilai, GEC Campus, Sejbahar, Raipur, Chhattisgarh 492015, India;4. Department of Chemistry, King Fahd University of Petroleum and Minerals, Dhahran 31261,Saudi Arabia;1. School of Energy and Power Engineering, Jiangsu University, 301 Xuefu Road 301, Zhenjiang, 212-013, China;2. Composite Materials Research Center, Korea Institute of Materials Science (KIMS), Changwon, 642-831, Republic of Korea;3. School of Mechanical Engineering, Research Center for Aircraft Parts Technology (ReCAPT), Gyeongsang National University, Jinju-daero 501, Jinju, 660-701, Republic of Korea |
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| Abstract: | We derive the worldsheet propagator for an open string with different magnetic fields at the two ends, and use it to compute two distinct noncommutativity parameters, one at each end of the string. The usual scaling limit that leads to noncommutative Yang–Mills can be generalized to a scaling limit in which both noncommutativity parameters enter. This corresponds to expanding a theory with U(N) Chan–Paton factors around a background U(1)N gauge field with different magnetic fields in each U(1). |
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