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

Abstract
HTML
Reference
Related

PDF

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

[1]	Kai-Wen Li,Xiu-Lei Ren,Li-Sheng Geng,Bing-Wei Long. Leading order relativistic hyperon-nucleon interactions in chiral effective field theory. Chinese Physics C, 2018, 42(1): 014105.doi:10.1088/1674-1137/42/1/014105
[2]	Yan-Ling Li,Yong-Liang Ma,Mannque Rho. Nuclear axial currents from scale-chiral effective field theory. Chinese Physics C, 2018, 42(9): 094102.doi:10.1088/1674-1137/42/9/094102
[3]	Taejin Lee. Covariant open string field theory on multipleDp-branes. Chinese Physics C, 2018, 42(11): 113105.doi:10.1088/1674-1137/42/11/113105
[4]	Jing-Bo Wang,Chao-Guang Huang. Conformal field theory on the horizon of a BTZ black hole. Chinese Physics C, 2018, 42(12): 123110.doi:10.1088/1674-1137/42/12/123110
[5]	Yue-Liang Wu. Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime. Chinese Physics C, 2017, 41(10): 103106.doi:10.1088/1674-1137/41/10/103106
[6]	S. Parsamehr,M. Mohsenzadeh. Gauge theory of massless spin-(3/2) field in de Sitter space-time. Chinese Physics C, 2016, 40(11): 113102.doi:10.1088/1674-1137/40/11/113102
[7]	Hong-na Li,P. Wang. Chiral extrapolation of nucleon axial chargeg_Ain effective field theory. Chinese Physics C, 2016, 40(12): 123106.doi:10.1088/1674-1137/40/12/123106
[8]	Hong-Bo Bai,Zhen-Hua Zhang,Xiao-Wei Li. Investigation of the Mg isotopes using the shell-model-like approach in relativistic mean field theory. Chinese Physics C, 2016, 40(11): 114101.doi:10.1088/1674-1137/40/11/114101
[9]	FAN Guang-Wei,DONG Tie-Kuang,D. Nishimura. Nonlinear relativistic mean-field theory studies on He isotopes. Chinese Physics C, 2014, 38(12): 124102.doi:10.1088/1674-1137/38/12/124102
[10]	D. Rozpedzik,J. Golak. Low energy electromagnetic processes based on the chiral effective field theory approach. Chinese Physics C, 2010, 34(9): 1393-1395.doi:10.1088/1674-1137/34/9/051
[11]	MEI Hua,CHEN Hong,YAO Jiang-Ming. Single-particle resonance states of¹²²Zr in relativistic mean-field theory combined with real stabilization method. Chinese Physics C, 2009, 33(S1): 101-104.doi:10.1088/1674-1137/33/S1/033
[12]	YAO Jiang-Ming,MENG Jie,Pena Arteaga,Ring Peter. Restoration of rotational symmetry in deformed relativistic mean-field theory. Chinese Physics C, 2009, 33(S1): 21-23.doi:10.1088/1674-1137/33/S1/007
[13]	YAO Jiang-Ming,. Towards Lambda-nucleon coupling constants in relativistic mean field theory. Chinese Physics C, 2009, 33(S1): 64-66.doi:10.1088/1674-1137/33/S1/021
[14]	GAO Yuan,DONG Jian-Min,ZHANG Hong-Fei,ZUO Wei,LI Jun-Qing. Properties and structure of N=Z nuclei within relativistic mean field theory. Chinese Physics C, 2009, 33(10): 848-853.doi:10.1088/1674-1137/33/10/006
[15]	GUO Jian-You,SHENG Zong-Qiang,FANG Xiang-Zheng. A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory. Chinese Physics C, 2008, 32(11): 886-891.doi:10.1088/1674-1137/32/11/008
[16]	YANG Jin-Long,HUANG Yong-Chang. Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields. Chinese Physics C, 2008, 32(10): 788-792.doi:10.1088/1674-1137/32/10/004
[17]	Wang Renchuan,Zhu Dongpei. Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(S4): 357-366.
[18]	Chen Baoqiu,Ma Zhongyu. Description of the Properties of Nuclei Far From theβStability Line in the Relativistic Mean Field Theory. Chinese Physics C, 1994, 18(Z1): 87-94.
[19]	PENG Hong-An. Investigations of Infrared Divergence in Quantum Field Theory from Unitarities and Analyticities. Chinese Physics C, 1992, 16(10): 891-899.
[20]	Jing Sicong,Ruan Jie. Bjorken-Johnson-Low Technique and a Perturbative Study on Chiral Anomaly in Pure Abelian Coset Gauge Field Theory. Chinese Physics C, 1991, 15(S2): 141-152.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-06-02
Revised: 2010-10-08

Article Metric

Article Views(3832)
PDF Downloads(471)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
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.