New quantization conditions for field theory without divergence

WANG Ping

doi:10.1088/1674-1137/35/3/003

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2024年10月30日

Chinese Physics C> 2011, Vol. 35> Issue(3) : 223-227 DOI: 10.1088/1674-1137/35/3/003

New quantization conditions for field theory without divergence

WANG Ping

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

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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.

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

New quantization conditions for field theory without divergence

WANG Ping

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

Received Date: 2010-06-02
Accepted Date: 2010-10-08
Available Online: 2011-03-05

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.