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《中国物理C》(英文)编辑部
2024年10月30日

New quantization conditions for field theory without divergence

  • Quantum field theory is a fundamental tool in particle and nuclear physics. Elemental particles are assumed to be point particles and, as a result, the loop integrals are divergent in many cases. Regularization and renormalization are introduced in order to get the physical finite results from the infinite, divergent loop integrations. We propose new quantization conditions for the fields whose base is very natural, i.e., any particle is not a point particle but a solid one with three dimensions. With this solid quantization, divergence could disappear.
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  • [1] 't Hooft G, Veltman M J G. Nucl. Phys. B, 1972, 44: 189-2132 Pauli W, Villars F. Rev. Mod. Phys., 1949, 21: 434-4443 Grammer G, Jr, Yennie D R. Phys. Rev. D, 1973, 8: 4332-43444 Chung V. Phys. Rev., 1965, 140: B1110-B11225 Kostelecky V A, Russell N. arXiv:0801.0287 [hep-ph]6 Cima O M D, Fonseca J M, Franco D H T, Piguet O. Phys. Lett. B, 2010, 688: 258-2627 Gasser J, Leutwyler H. Nucl. Phys. B, 1985 250: 465-5168 Ecker G. Prog. Part. Nucl. Phys., 1995, 35: 1-809 WANG Ping, Leinweber D B, Thomas A W, Young R D. Phys. Rev. D, 2007, 75: 07301210 WANG Ping, Leinweber D B, Thomas A W, Young R D. Phys. Rev. D, 2009, 79: 094001
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WANG Ping. New quantization conditions for field theory without divergence[J]. Chinese Physics C, 2011, 35(3): 223-227. doi: 10.1088/1674-1137/35/3/003
WANG Ping. New quantization conditions for field theory without divergence[J]. Chinese Physics C, 2011, 35(3): 223-227.  doi: 10.1088/1674-1137/35/3/003 shu
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Received: 2010-06-02
Revised: 2010-10-08
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New quantization conditions for field theory without divergence

  • Institute of High Energy Physics, CAS, P. O. Box 918(4), Beijing 100049, China;2. Theoretical Physics Center for Science Facilities, CAS, Beijing 100049, China

Abstract: Quantum field theory is a fundamental tool in particle and nuclear physics. Elemental particles are assumed to be point particles and, as a result, the loop integrals are divergent in many cases. Regularization and renormalization are introduced in order to get the physical finite results from the infinite, divergent loop integrations. We propose new quantization conditions for the fields whose base is very natural, i.e., any particle is not a point particle but a solid one with three dimensions. With this solid quantization, divergence could disappear.

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