Medium correction to gravitational form factors

Lin Shu; Tian Jia-Yuan

doi:10.7498/aps.72.20222473

Abstract

We generalize the gravitational form factor for chiral fermion in vacuum, which reproduces the well-known spin-vorticity coupling. We also calculate radiative correction to the gravitational form factors in quantum electrodynamics plasma. We find two structures in the form factors contributing to the scattering amplitude of fermion in vorticity field, one is from the fermon self-energy correction, pointing to suppression of spin-vorticity coupling in medium; the other strucutre comes from graviton-fermion vertex correction, which does not adopt potential interpretation, but corresponds to transition matrix element between initial and final states. Both structures contribute to chiral vortical effect. The net effect is that radiative correction enhances the chiral vortical effect. Our results claify the relation and difference between spin-vorticity coupling and chiral vortical effect from the perspective of form factors. We also discuss the application of the results in QCD plasma, indicating radiative correction might have an appreciable effect in spin polarization effect in heavy ion collisions.

Keywords:

Authors and contacts

School of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China

Corresponding author: Lin Shu, linshu8@mail.sysu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 2075328, 1735007)

FullText HTML : translate this paragraph

References

[1]	Adamczyk L, et al. 2017 Nature 548 62
[2]	Liang Z T, Wang X N 2005 Phys. Rev. Lett. 94 102301 [erratum: 2006 Phys. Rev. Lett. 96 039901]
[3]	Liang Z T, Wang X N 2005 Phys. Lett. B 629 20 Google Scholar
[4]	Gao J H, Chen S W, Deng W T, Liang Z T, Wang Q, Wang X N 2008 Phys. Rev. C 77 044902 Google Scholar
[5]	Huang X G, Huovinen P, Wang X N 2011 Phys. Rev. C 84 054910 Google Scholar
[6]	Jiang Y, Lin Z W, Liao J 2016 Phys. Rev. C 94 044910 [erratum: 2017 Phys. Rev. C 95 049904]
[7]	Gao J H, Ma G L, Pu S, Wang Q 2020 Nucl. Sci. Tech. 31 90 Google Scholar
[8]	Liu Y C, Huang X G 2020 Nucl. Sci. Tech. 31 56 Google Scholar
[9]	Becattini F, Lisa M A 2020 Ann. Rev. Nucl. Part. Sci. 70 395 Google Scholar
[10]	孙旭, 周晨升, 陈金辉, 陈震宇, 马余刚, 唐爱洪, 徐庆华 2023 物理学报 72 072401 Google Scholar Sun X, Zhou C S, Chen J H, Chen Z Y, Ma Y G, Tang A H, Xu Q H 2023 Acta Phys. Sin. 72 072401 Google Scholar
[11]	高建华, 黄旭光, 梁作堂, 王群, 王新年 2023 物理学报 72 072501 Google Scholar Gao J H, Huang X G, Liang Z T, Wang Q, Wang X N 2023 Acta Phys. Sin. 72 072501 Google Scholar
[12]	Becattini F, Karpenko I 2018 Phys. Rev. Lett. 120 012302 Google Scholar
[13]	Wei D X, Deng W T, Huang X G 2019 Phys. Rev. C 99 014905 Google Scholar
[14]	Fu B, Xu K, Huang X G, Song H 2021 Phys. Rev. C 103 024903 Google Scholar
[15]	Adam J, et al. 2019 Phys. Rev. Lett. 123 132301 Google Scholar
[16]	Liu S Y F, Yin Y 2021 JHEP 07 188 Google Scholar
[17]	Becattini F, Buzzegoli M, Palermo A 2021 Phys. Lett. B 820 136519 Google Scholar
[18]	Hidaka Y, Pu S, Yang D L 2018 Phys. Rev. D 97 016004 Google Scholar
[19]	Fu B, Liu S Y F, Pang L, Song H, Yin Y 2021 Phys. Rev. Lett. 127 142301 Google Scholar
[20]	Becattini F, Buzzegoli M, Inghirami G, Karpenko I, Palermo A 2021 Phys. Rev. Lett. 127 272302 Google Scholar
[21]	Yi C, Pu S, Yang D L 2021 Phys. Rev. C 104 064901 Google Scholar
[22]	Fu B, Pang L, Song H, Yin Y 2022 arXiv: 2201.12970 [hep-ph]
[23]	Wu X Y, Yi C, Qin G Y, Pu S 2022 Phys. Rev. C 105 064909 Google Scholar
[24]	Lin S, Wang Z 2022 JHEP 12 030 Google Scholar
[25]	Liu Y C, Huang X G 2022 Sci. China Phys. Mech. Astron. 65 272011 Google Scholar
[26]	Kobzarev I Y, Okun L B 1962 Zh. Eksp. Teor. Fiz. 43 1904
[27]	Pagels H 1966 Phys. Rev. 144 1250 Google Scholar
[28]	Donoghue J F, Holstein B R, Robinett R W 1984 Phys. Rev. D 30 2561 Google Scholar
[29]	Donoghue J F, Holstein B R, Robinett R W 1985 Gen. Rel. Grav. 17 207 Google Scholar
[30]	Buzzegoli M, Kharzeev D E 2021 Phys. Rev. D 103 116005 Google Scholar
[31]	Hou D F, Liu H, Ren H C 2012 Phys. Rev. D 86 121703 Google Scholar
[32]	Polyakov M V, Schweitzer P 2018 Int. J. Mod. Phys. A 33 1830025 Google Scholar
[33]	Chen J Y, Son D T, Stephanov M A, Yee H U, Yin Y 2014 Phys. Rev. Lett. 113 182302 Google Scholar
[34]	Hidaka Y, Pu S, Yang D L 2017 Phys. Rev. D 95 091901 Google Scholar
[35]	Dong L, Lin S 2022 Eur. Phys. J. A 58 176 Google Scholar
[36]	Hattori K, Hidaka Y, Yang D L 2019 Phys. Rev. D 100 096011 Google Scholar
[37]	Weickgenannt N, Sheng X L, Speranza E, Wang Q, Rischke D H 2019 Phys. Rev. D 100 056018 Google Scholar
[38]	Gao J H, Liang Z T 2019 Phys. Rev. D 100 056021 Google Scholar
[39]	Liu Y C, Mameda K, Huang X G 2020 Chin. Phys. C 44 094101 [erratum: 2021 Chin. Phys. C 45 089001]
[40]	Guo X 2020 Chin. Phys. C 44 104106 Google Scholar
[41]	Chou K C, Su Z B, Hao B l, Yu L 1985 Phys. Rep. 118 1 Google Scholar
[42]	Bellac M L 2011 Thermal Field Theory (Cambridge: Cambridge University Press) pp118–140
[43]	Zhang C, Fang R H, Gao J H, Hou D F 2020 Phys. Rev. D 102 056004 Google Scholar
[44]	Fang R H, Dong R D, Hou D F, Sun B D 2021 Chin. Phys. Lett. 38 091201 Google Scholar
[45]	赵新丽, 马国亮, 马余刚 2023 物理学报 Accepted Zhao X L, Ma G L, Ma Y G 2023 Acta Phys. Sin. Accepted
[46]	Gao L L, Huang X G 2022 Chin. Phys. Lett. 39 021101 Google Scholar
[47]	Abdallah M S, et al. 2023 Nature 614 7947 Google Scholar
[48]	Wang X N 2023 Nucl. Sci. Tech. 34 15 Google Scholar

Cited By

图 1 包含引力子-光子-费米子顶点的辐射修正图, 箭头方向表示动量方向. 类似的两幅光子传播子连接到另一外线的图未画出

Figure 1. Radiative correction diagrams containing graviton-photon-fermion vertex, with arrows indicating direction of momenta. Two similar diagrams with photon propagator connecting to the other external leg not shown

DownLoad: Full-Size Img PowerPoint

图 3 包含引力子-光子顶点的辐射修正图, 箭头方向表示动量方向

Figure 3. Radiative correction diagrams containing graviton-photon vertex, with arrows indicating direction of momenta

DownLoad: Full-Size Img PowerPoint

图 2 包含引力子-费米子顶点的辐射修正图, 箭头方向表示动量方向

Figure 2. Radiative correction diagrams containing graviton-fermion vertex, with arrows indicating direction of momenta

DownLoad: Full-Size Img PowerPoint

图 4 费米子外线的辐射修正图, 箭头方向表示动量方向. 类似的两幅另一条外线的修正图未画出.

Figure 4. Diagrams for radiative correction to external fermion leg, with arrows indicating direction of momenta. Similar diagrams for correction to the other external leg not shown.

DownLoad: Full-Size Img PowerPoint

[1]	Adamczyk L, et al. 2017 Nature 548 62
[2]	Liang Z T, Wang X N 2005 Phys. Rev. Lett. 94 102301 [erratum: 2006 Phys. Rev. Lett. 96 039901]
[3]	Liang Z T, Wang X N 2005 Phys. Lett. B 629 20 Google Scholar
[4]	Gao J H, Chen S W, Deng W T, Liang Z T, Wang Q, Wang X N 2008 Phys. Rev. C 77 044902 Google Scholar
[5]	Huang X G, Huovinen P, Wang X N 2011 Phys. Rev. C 84 054910 Google Scholar
[6]	Jiang Y, Lin Z W, Liao J 2016 Phys. Rev. C 94 044910 [erratum: 2017 Phys. Rev. C 95 049904]
[7]	Gao J H, Ma G L, Pu S, Wang Q 2020 Nucl. Sci. Tech. 31 90 Google Scholar
[8]	Liu Y C, Huang X G 2020 Nucl. Sci. Tech. 31 56 Google Scholar
[9]	Becattini F, Lisa M A 2020 Ann. Rev. Nucl. Part. Sci. 70 395 Google Scholar
[10]	孙旭, 周晨升, 陈金辉, 陈震宇, 马余刚, 唐爱洪, 徐庆华 2023 物理学报 72 072401 Google Scholar Sun X, Zhou C S, Chen J H, Chen Z Y, Ma Y G, Tang A H, Xu Q H 2023 Acta Phys. Sin. 72 072401 Google Scholar
[11]	高建华, 黄旭光, 梁作堂, 王群, 王新年 2023 物理学报 72 072501 Google Scholar Gao J H, Huang X G, Liang Z T, Wang Q, Wang X N 2023 Acta Phys. Sin. 72 072501 Google Scholar
[12]	Becattini F, Karpenko I 2018 Phys. Rev. Lett. 120 012302 Google Scholar
[13]	Wei D X, Deng W T, Huang X G 2019 Phys. Rev. C 99 014905 Google Scholar
[14]	Fu B, Xu K, Huang X G, Song H 2021 Phys. Rev. C 103 024903 Google Scholar
[15]	Adam J, et al. 2019 Phys. Rev. Lett. 123 132301 Google Scholar
[16]	Liu S Y F, Yin Y 2021 JHEP 07 188 Google Scholar
[17]	Becattini F, Buzzegoli M, Palermo A 2021 Phys. Lett. B 820 136519 Google Scholar
[18]	Hidaka Y, Pu S, Yang D L 2018 Phys. Rev. D 97 016004 Google Scholar
[19]	Fu B, Liu S Y F, Pang L, Song H, Yin Y 2021 Phys. Rev. Lett. 127 142301 Google Scholar
[20]	Becattini F, Buzzegoli M, Inghirami G, Karpenko I, Palermo A 2021 Phys. Rev. Lett. 127 272302 Google Scholar
[21]	Yi C, Pu S, Yang D L 2021 Phys. Rev. C 104 064901 Google Scholar
[22]	Fu B, Pang L, Song H, Yin Y 2022 arXiv: 2201.12970 [hep-ph]
[23]	Wu X Y, Yi C, Qin G Y, Pu S 2022 Phys. Rev. C 105 064909 Google Scholar
[24]	Lin S, Wang Z 2022 JHEP 12 030 Google Scholar
[25]	Liu Y C, Huang X G 2022 Sci. China Phys. Mech. Astron. 65 272011 Google Scholar
[26]	Kobzarev I Y, Okun L B 1962 Zh. Eksp. Teor. Fiz. 43 1904
[27]	Pagels H 1966 Phys. Rev. 144 1250 Google Scholar
[28]	Donoghue J F, Holstein B R, Robinett R W 1984 Phys. Rev. D 30 2561 Google Scholar
[29]	Donoghue J F, Holstein B R, Robinett R W 1985 Gen. Rel. Grav. 17 207 Google Scholar
[30]	Buzzegoli M, Kharzeev D E 2021 Phys. Rev. D 103 116005 Google Scholar
[31]	Hou D F, Liu H, Ren H C 2012 Phys. Rev. D 86 121703 Google Scholar
[32]	Polyakov M V, Schweitzer P 2018 Int. J. Mod. Phys. A 33 1830025 Google Scholar
[33]	Chen J Y, Son D T, Stephanov M A, Yee H U, Yin Y 2014 Phys. Rev. Lett. 113 182302 Google Scholar
[34]	Hidaka Y, Pu S, Yang D L 2017 Phys. Rev. D 95 091901 Google Scholar
[35]	Dong L, Lin S 2022 Eur. Phys. J. A 58 176 Google Scholar
[36]	Hattori K, Hidaka Y, Yang D L 2019 Phys. Rev. D 100 096011 Google Scholar
[37]	Weickgenannt N, Sheng X L, Speranza E, Wang Q, Rischke D H 2019 Phys. Rev. D 100 056018 Google Scholar
[38]	Gao J H, Liang Z T 2019 Phys. Rev. D 100 056021 Google Scholar
[39]	Liu Y C, Mameda K, Huang X G 2020 Chin. Phys. C 44 094101 [erratum: 2021 Chin. Phys. C 45 089001]
[40]	Guo X 2020 Chin. Phys. C 44 104106 Google Scholar
[41]	Chou K C, Su Z B, Hao B l, Yu L 1985 Phys. Rep. 118 1 Google Scholar
[42]	Bellac M L 2011 Thermal Field Theory (Cambridge: Cambridge University Press) pp118–140
[43]	Zhang C, Fang R H, Gao J H, Hou D F 2020 Phys. Rev. D 102 056004 Google Scholar
[44]	Fang R H, Dong R D, Hou D F, Sun B D 2021 Chin. Phys. Lett. 38 091201 Google Scholar
[45]	赵新丽, 马国亮, 马余刚 2023 物理学报 Accepted Zhao X L, Ma G L, Ma Y G 2023 Acta Phys. Sin. Accepted
[46]	Gao L L, Huang X G 2022 Chin. Phys. Lett. 39 021101 Google Scholar
[47]	Abdallah M S, et al. 2023 Nature 614 7947 Google Scholar
[48]	Wang X N 2023 Nucl. Sci. Tech. 34 15 Google Scholar

[1]	Xie Zhen, Li Jing-Xing, Zheng Hua, Zhang Wen-Chao, Zhu Li-Lin, Liu Xing-Quan, Tan Zhi-Guang, Zhou Dai-Mei, Bonasera Aldo. Midrapidity average transverse momentum of identified charged particles in high-energy heavy-ion collisions. Acta Physica Sinica, 2024, 73(18): 181201. doi: 10.7498/aps.73.20240905
[2]	. Preface to the special topic: Spin and chiral effects in high energy heavy ion collisions. Acta Physica Sinica, 2023, 72(7): 070101. doi: 10.7498/aps.72.070101
[3]	Sun Xu, Zhou Chen-Sheng, Chen Jin-Hui, Chen Zhen-Yu, Ma Yu-Gang, Tang Ai-Hong, Xu Qing-Hua. Measurements of global polarization of QCD matter in heavy-ion collisions. Acta Physica Sinica, 2023, 72(7): 072401. doi: 10.7498/aps.72.20222452
[4]	Sheng Xin-Li, Liang Zuo-Tang, Wang Qun. Global spin alignment of vector mesons in heavy ion collisions. Acta Physica Sinica, 2023, 72(7): 072502. doi: 10.7498/aps.72.20230071
[5]	Zhou Yong-Xiang, Xue Xun. Electron vortices in spin-orbit coupling system. Acta Physica Sinica, 2022, 71(21): 210301. doi: 10.7498/aps.71.20220751
[6]	Gao Qi, Zhang Chuan-Fei, Zhou Lin, Li Zheng-Hong, Wu Ze-Qing, Lei Yu, Zhang Chun-Lai, Zu Xiao-Tao. Simulation of Z-pinch Al plasma radiation and correction with considering superposition effect. Acta Physica Sinica, 2014, 63(12): 125202. doi: 10.7498/aps.63.125202
[7]	Chen Xiao-Fan. Coherence parameters of partially chaotic sources in relativistic heavy-ion collisions. Acta Physica Sinica, 2012, 61(9): 092501. doi: 10.7498/aps.61.092501
[8]	Chen Xue-Wen, Fang Zhen-Yun, Zhang Jia-Wei, Zhong Tao, Tu Wei-Xing. Renormalization of two neutral mixing-loop chain propagators in standard model and its e+e-→μ+μ- cross section. Acta Physica Sinica, 2011, 60(2): 021101. doi: 10.7498/aps.60.021101
[9]	Lin Kai, Yang Shu-Zheng. Tunneling radiation and entropy correction of arbitrary spin particles in Kerr-de Sitter black hole. Acta Physica Sinica, 2010, 59(8): 5266-5270. doi: 10.7498/aps.59.5266
[10]	Liu Jian-Ye, Hao Huan-Feng, Zuo Wei, Li Xi-Guo. Medium effect of nucleon-nucleon cross section on the isoscaling parameter α. Acta Physica Sinica, 2008, 57(4): 2136-2140. doi: 10.7498/aps.57.2136
[11]	Pan Yu, Wang Kai-Jun, Fang Zhen-Yun, Wang Xian-You, Peng Qing-Jun. Accurately calculate cross section of the n+n→2π0 reaction in the n-n renormalization chain diagram. Acta Physica Sinica, 2008, 57(8): 4817-4825. doi: 10.7498/aps.57.4817
[12]	Bian Bao-An, Zhou Hong-Yu, Zhang Feng-Shou. Symmetry energy and isospin effects of threshold energy of radial flow in heavy ion collisions. Acta Physica Sinica, 2007, 56(3): 1334-1338. doi: 10.7498/aps.56.1334
[13]	Zhang Fang, Zuo Wei, Yong Gao-Chan. Probing the high density behavior of the symmetry energy by using the neutron-proton differential flow. Acta Physica Sinica, 2006, 55(11): 5769-5773. doi: 10.7498/aps.55.5769
[14]	Liu Jian-Ye, Xing Yong-Zhong, Guo Wen-Jun. Entrance channel effects on the role of isospin-dependent momentum interaction in isospin fractionation in heavy ion collisions. Acta Physica Sinica, 2006, 55(1): 91-97. doi: 10.7498/aps.55.91
[15]	Liu Jian-Ye, Guo Wen-Jun, Xing Yong-Zhong, Lee Xi-Guo, Zuo Wei. Nuclear reaction dynamics induced by halo-nuclei at intermediate energy heavy ion collisions. Acta Physica Sinica, 2006, 55(3): 1068-1076. doi: 10.7498/aps.55.1068
[16]	Yong Gao-Chan, Li Bao-An, Chen Lie-Wen, Zuo Wei. Flipped symmetry potential in heavy-ion collisions. Acta Physica Sinica, 2006, 55(10): 5166-5171. doi: 10.7498/aps.55.5166
[17]	Guo Wen-Jun, Liu Jian-Ye, Xing Yong-Zhong. The isospin effect of momentum-dependent interaction in heavy ion collisions. Acta Physica Sinica, 2005, 54(7): 3082-3086. doi: 10.7498/aps.54.3082
[18]	Jiang Zhi-Jin. The study of centrality dependence of rapidity densities of charged-multiplicity. Acta Physica Sinica, 2004, 53(4): 1020-1022. doi: 10.7498/aps.53.1020
[19]	PAN GUANG-YAN, LEI ZI-MING, YANG FENG, LU XIAO-LIN, LIU CAN-WEN, LIU JIA-RUI, SUN XIANG. VUV RADIATION IN COLLISIONS BETWEEN Ar+ AND ATOMS. Acta Physica Sinica, 1991, 40(6): 891-896. doi: 10.7498/aps.40.891
[20]	. . Acta Physica Sinica, 1965, 21(7): 1464-1468. doi: 10.7498/aps.21.1464

Catalog

Vol. 72, Issue 7 - 2023-04-05

Metrics

Abstract views: 4842
PDF Downloads: 135
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板