Two loop low temperature corrections to electron self energy

Mahnaz Q; Samina S

doi:10.1088/1674-1137/35/7/002

Chinese Physics C> 2011, Vol. 35> Issue(7) : 608-611 DOI: 10.1088/1674-1137/35/7/002

Two loop low temperature corrections to electron self energy

Mahnaz Q ,
Samina S

Abstract
HTML
Reference
Related

PDF

Abstract：
We recalculate the two loop corrections in the background heat bath using real time formalism. The procedure of the integrations of loop momenta with dependence on finite temperature before the momenta without it has been followed. We determine the mass and wavefunction renormalization constants in the low temperature limit of QED, for the first time with this preferred order of integrations. The correction to electron mass and spinors in this limit is important in the early universe at the time of primordial nucleosynthesis as well as in astrophysics.

References

[1]

Kirzhnits D A. Field Theoretical Methods in Many Body Systems. Oxford: Permagon, 1967; Lifshitz E M, Pitaevskii L P. Course on Theoretical Physics-Physical Kinetics: Pergamon Press, New York, 19812 Altherr T, Kainulainen K. Phys. Lett. B, 1991, 262: 79; Altherr T. Z. Phys. C, 1990, 47: 559; Ann. Phys. (NY), 1991, 207: 374; Braaten E. Phys. Rev. Lett., 1991, 66: 2183; Braaten E. Phys. Rev. Lett., 1991, 66: 1655; Altherr T, Kraemmer U. Astroparticle Phys., 1992, 1: 1333 Matsubara T. Prog. Theor. Phys., 1955, 14: 3514 Schwinger J. J. Math. Phys., 1961, 2: 4075 Mills R. Propagators for Many Particle Systems. New York: Gordon and Breach, 19696 Keldysh L V. Sov. Phys., 1964, 20: 10187 Brouder C, Frabetti A. hep-ph/0011161; Brandt F T, Das A, Frenkel J. Phys. Rev. D, 2002, 65: 0850178 Umezawa H, Matsumoto H, Tachiki M. Thermo Field Dy- namics and Condensed States. Amsterdam: North Holland, 1982; Das A. Finite Temperature Field Theory. Singapore: World Scienti c, 19979 Kinoshita T. Math. J. Phys., 1962, 3: 65010 Donoghue J F, Holstein B R. Phys. Rev. D, 1983, 28: 340; Braaten E, Pisarski R D. Nucl. Phys. B, 1990, 337: 567; Kobes R. Phys. Rev. D, 1990, 42: 562; Dolan L, Jackiw R. Phys. Rev. D, 1974, 9: 3320; Landsman P, Weert Ch G. Phys. Rep., 1987, 145: 14111 Ahmed K, Masood S S. Phys. Rev. D, 1987, 35: 1861; 4020; Ahmed K, Masood S S. Ann. Phys. (N.Y.), 1991, 207: 460; Masood S. Phys. Rev. D, 1991, 44: 394312 Masood S S. Phys. Rev. D, 1991, 44: 3943; Masood S S. Phys. Rev. D, 1993, 47: 648; 1987, 36: 260213 Haseeb M Q, Masood S S, Ahmed K. Phys. Rev. D, 1991, 44: 3322; 1992, 46: 563314 Masood S S, Haseeb M Q. Int. J. of Mod. Phys. A, 2008, 23: 470915 Itzykson C, Zuber J B. Quantum Field Theory. McGraw- Hill Inc., 1990

[1]	Zhong-Jun Yang , Shu-Min Zhao , Xing-Xing Dong , Xi-Jie Zhan , Hai-Bin Zhang , Tai-Fu Feng . Corrections to R_D and R_D^* in the BLMSSM. Chinese Physics C, 2018, 42(11): 113104. doi: 10.1088/1674-1137/42/11/113104
[2]	Fang-Yong Dong , Bao-Xi Sun , Jing-Long Pang . The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions. Chinese Physics C, 2017, 41(7): 074108. doi: 10.1088/1674-1137/41/7/074108
[3]	null , , , , , , , , , , , , . An accelerator scenario for a hard X-ray free electron laser combined with high energy electron radiography. Chinese Physics C, 2016, 40(8): 088101. doi: 10.1088/1674-1137/40/8/088101
[4]	Zhi-Ying Li , Zhi-Yong Zhang , Yi-Feng Wei , Chi Wang , Yun-Long Zhang , Si-Cheng Wen , Xiao-Lian Wang , Zi-Zong Xu , Guang-Shun Huang . Energy correction for the BGO calorimeter of DAMPE using an electron beam. Chinese Physics C, 2016, 40(8): 086202. doi: 10.1088/1674-1137/40/8/086202
[5]	FANG Kai-Hong , ZOU Jian-Xin , LIU Dong-Dong , ZHAO Jiang-Tao . Experimental evidence for temperature effect on energy loss of low-energy D⁺ in liquid lithium. Chinese Physics C, 2015, 39(8): 084001. doi: 10.1088/1674-1137/39/8/084001
[6]	WEI Tao , YANG Guo-Jun , LI Yi-Ding , LONG Ji-Dong , HE Xiao-Zhong , ZHANG Xiao-Ding , JIANG Xiao-Guo , MA Chao-Fan , ZHAO Liang-Chao , YANG Xing-Lin , ZHANG Zhuo , WANG Yuan , PANG Jian , LI Hong , LI Wei-Feng , ZHOU Fu-Xin , SHI Jin-Shui , ZHANG Kai-Zhi , LI Jin , ZHANG Lin-Wen , DENG Jian-Jun . First experimental research in low energy proton radiography. Chinese Physics C, 2014, 38(8): 087003. doi: 10.1088/1674-1137/38/8/087003
[7]	SONG Zi-Feng , TANG Qi , LIU Zhong-Jie , ZHAN Xia-Yu , CHEN Jia-Bin . An improved method of unfolding neutron TOF spectrum for low ion temperature inertial confinement fusion. Chinese Physics C, 2014, 38(6): 066201. doi: 10.1088/1674-1137/38/6/066201
[8]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[9]	XIE Wen-Qing , LI Yu-Lan , LI Yuan-Jing , YUE Qian . Performance study of the PTFE-THGEM at room and low temperature. Chinese Physics C, 2013, 37(11): 116001. doi: 10.1088/1674-1137/37/11/116001
[10]	LIU Shu-Quan , cherl Thomas , LI Hang , ZOU Yu-Bin , LU Yuan-Rong , GUO Zhi-Yu . Corrections on energy spectrum and scatterings for fast neutron radiography at NECTAR facility. Chinese Physics C, 2013, 37(11): 118201. doi: 10.1088/1674-1137/37/11/118201
[11]	WANG Yu-Sa , CHEN Yong , XU Yu-Peng , YANG Yan-Ji , CUI Wei-Wei , LI Mao-Shun , LIU Xiao-Yan , WANG Juan , HAN Da-Wei , CHEN Tian-Xiang , LI Cheng-Kui , HUO Jia , LI Zheng-Wei , LI Wei , HU Wei , ZHANG Yi , LU Bo , ZHU Yue , LIU Yan , WU Di , SUN Qing-Rong , ZHANG Zi-Liang . Low temperature testing and neutron irradiation of a swept charge device on board the HXMT satellite. Chinese Physics C, 2012, 36(10): 991-995. doi: 10.1088/1674-1137/36/10/013
[12]	AN Zheng-Hua , SHI Feng , HU Tao , CAI Xiao , YU Bo-Xiang , FANG Jian , XIE Yu-Guang , WANG Zhi-Gang , XUE Zhen , SUN Xi-Lei , ZHANG Ai-Wu , NING Fei-Peng , ZHOU Li , SUN Li-Jun , GE Yong-Shuai , LIU Ying-Biao , WU Chong , , . Performance of MPPC at low temperature. Chinese Physics C, 2012, 36(7): 633-638. doi: 10.1088/1674-1137/36/7/012
[13]	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
[14]	LI Shu-Wei , WANG Yi , LI Jin , LI Yuan-Jing , KANG Ke-Jun , LIN De-Xu , ZHANG Qing-Jun . Monitoring the energy variation of an electron linac using a Cerenkov detector. Chinese Physics C, 2010, 34(1): 126-130. doi: 10.1088/1674-1137/34/1/023
[15]	YANG Xiu-Yi , FENG Tai-Fu . Two loop electroweak corrections from heavy fermions to b→s+γ. Chinese Physics C, 2010, 34(12): 1797-1811. doi: 10.1088/1674-1137/34/12/004
[16]	WANG Tie-Shan , PENG Hai-Bo , Ovsyannikov V , Kentsch U , Ullmann F , CHENG Rui , Zschornack G . Production of highly charged argon ions from a room temperature electron beam ion trap. Chinese Physics C, 2008, 32(5): 389-392. doi: 10.1088/1674-1137/32/5/013
[17]	Rao Yinong , Xia Jiawen , Yuan Youjin , Wei Baowen . Electron Beam Transverse Temperature in HIRFL-CSR Electron Cooler. Chinese Physics C, 1996, 20(S2): 205-212.
[18]	Hou Defu , Li Jiarong . Finite-Temperature Thermodynamic Potential of Two-loop QED and the Overlapping Divergences in Arbitrary Gauge. Chinese Physics C, 1995, 19(S4): 397-404.
[19]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[20]	Li Qiang , Wei Zengquan , Ma Shouwu . Frequency Distributions of Energy Deposition in a Low-Energy Electron Track. Chinese Physics C, 1995, 19(S4): 369-373.

Access

Get Citation

Mahnaz Q and Samina S. Two loop low temperature corrections to electron self energy[J]. Chinese Physics C, 2011, 35(7): 608-611. doi: 10.1088/1674-1137/35/7/002

Mahnaz Q and Samina S. Two loop low temperature corrections to electron self energy[J]. Chinese Physics C, 2011, 35(7): 608-611. doi: 10.1088/1674-1137/35/7/002 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-09-13
Revised: 2010-11-03

Article Metric

Article Views(1892)
PDF Downloads(536)
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

Two loop low temperature corrections to electron self energy

Received Date: 2010-09-13

Accepted Date: 2010-11-03

Available Online: 2011-07-05

Abstract: We recalculate the two loop corrections in the background heat bath using real time formalism. The procedure of the integrations of loop momenta with dependence on finite temperature before the momenta without it has been followed. We determine the mass and wavefunction renormalization constants in the low temperature limit of QED, for the first time with this preferred order of integrations. The correction to electron mass and spinors in this limit is important in the early universe at the time of primordial nucleosynthesis as well as in astrophysics.

HTML

Reference (1)

Two loop low temperature corrections to electron self energy

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Two loop low temperature corrections to electron self energy

HTML

目录