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研究生:林宏驊
研究生(外文):Hung-Hwa Lin
論文名稱:多點與高階之弱動量定理其對稱性根基之探討
論文名稱(外文):On the Symmetry Foundation of Higher Point and Higher OrderSoft Theorems
指導教授:黃宇廷黃宇廷引用關係
指導教授(外文):Yu-tin Huang
口試委員:賀培銘林及仁
口試委員(外文):Pei-Ming HoChi-Jen Lin
口試日期:2018-07-10
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:物理學研究所
學門:自然科學學門
學類:物理學類
論文種類:學術論文
論文出版年:2017
畢業學年度:106
語文別:英文
論文頁數:89
中文關鍵詞:散射幅度弱動量定理自發性對稱破缺規範對稱么正性共形對稱
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本篇論文討論弱動量定理的兩個延伸:將規範對稱性所蘊含的弱動 量定理推展到無限階的弱動量展開,以及將自發性對稱性破缺所隱含 的定理推廣到多動量的弱動量定理。其目的為探討近年新發現的兩組 弱動量定理,是否蘊含比原本的弱動量定理更多的資訊: 由殘餘規範對 稱性推導出的無限階弱動量定理,以及在以 CHY 代表式所推導出在具 有自發性對稱破缺之理論所發現的雙點弱動量定理。前者的部分,藉 由將發散與為發散的費曼圖關聯起來,我們可以證明一般的規範對稱 即可得到前述的無限階弱動量定理。因此殘餘規範對稱在散射幅度上 並未提供多餘的資訊,但有可能暗示散射幅度的自由度在質量為零時 可能需要進一部探討。後者的部分,我們發展出一套能夠系統性推導 雙點弱動量定理的方法,並據此得出前述的雙點弱動量定理,以及其 是否蘊含比單點弱動量定理更多的資訊。我們同時探討此兩者在環圖 位階以及高階運算符時受修正的形式。
In this thesis, we discuss the derivation of extending existing soft theorems in two aspect: pushing single soft theorems from on-shell gauge invariance into infinite order, and deriving, for general theories, double soft theorems from single soft theorems. The motivation is to investigate whether new information can be extracted from two sets of new soft theorems: infinite order single soft theorems for gauge bosons derived from large gauge transformations, and double soft theorems for several theories of Goldstone bosons from CHY representations of tree level amplitudes. In the former case, we show that on-shell gauge invariance reproduce those infinite soft theorems. This indicates that the residual gauge symmetries produces no new constraint on amplitudes, although they might hint the usual choice of asymptotic states for S-matrices might need modification. For the latter case, we developed a general scheme to derive double soft theorems from single soft theorems, adding the information of four-point vertex, where some difficulties in existing methods has been solved. This allows us to reproduce the new double soft theorems, and what additional information is contained compared with single soft theorems. In both scenarios, we also discuss how loop correction or effective operators will modify the soft theorems.
1 Introduction 1
2 Overview of Soft Theorems 7
3 Infinite Soft Theorems From Gauge Symmetry 22
4 Double Soft Theorems from Single Soft Theorems 35
5 Fixing amplitudes by soft theorems 62
6 Conclusion 72
A Type A and Type B Expansions for Pole Diagrams 77
Bibliography 86
[1] S. Weinberg, Infrared photons and gravitons, Phys. Rev. 140 (1965) B516–B524.
[2] S. L. Adler, Consistency conditions on the strong interactions implied by a partially conserved axial vector current, Phys. Rev. 137 (1965) B1022–B1033.
[3] F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions, Phys. Rev. 110(1958) 974-977.
[4] T. H. Burnett and N. M. Kroll, Extension of the Low soft photon theorem, Phys. Rev. Lett. 20(1968) 86.
[5] V. Del Duca, High-energy Bremsstrahlung theorems for soft photons, Nucl. Phys. B345(1990) 369-388.
[6] D. J. Gross and R. Jackiw, Low-energy theorem for graviton scattering, Phys. Rev. 166(1968) 1287-1292.
[7] R. Jackiw, Low-energy theorems for massless bosons: photons and gravitons, Phys. Rev. 168(1968) 1623-1633.
[8] C. D. White, Factorization Properties of Soft Graviton Amplitudes, JHEP 1105(2011) 060, [arXiv:1103.2981].
[9] F. Cachazo and A. Strominger, Evidence for a New Soft Graviton Theorem, [1404.4091].
[10] E. Casali, Soft sub-leading divergences in Yang-Mills amplitudes, JHEP 08(2014) 077, 1404.5551. 86
[11] F. Cachazo, S. He and E. Y. Yuan, New Double Soft Emission Theorems, Phys. Rev. D93 (2016) 0450321503.04816.
[12] A. L. Guerrieri, Y.-t. Huang, Z. Li, C. Wen, On the Exactness of Soft Theorems, [1705.10078].
[13] I. Low, Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models, Phys. Rev. D93 (2016) 045032, [1512.01232].
[14] C. Cheung, K. Kampf, J. Novotny, C.-H. Shen and J. Trnka, A Periodic Table of Effective Field Theories, JHEP 02 (2017) 020, [1611.03137].
[15] L. Rodina, Uniqueness from gauge invariance and the Adler zero, 1612.06342.
[16] P. Di Vecchia, R. Marotta, M. Mojaza and J. Nohle, New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order, Phys. Rev. D93 (2016) 085015, [1512.03316].
[17] M. Bianchi, A. L. Guerrieri, Y.-t. Huang, C.-J. Lee and C. Wen, Exploring soft constraints on effective actions, JHEP 10 (2016) 036, [1605.08697].
[18] I. Low and A. V. Manohar, Spontaneously broken space-time symmetries and Goldstone’s theorem, Phys. Rev. Lett. 88 (2002) 101602, [hep-th/0110285].
[19] Y. Hamada et al., arxiv:1801.05528 , (2018).
[20] R. H. Boels and W. Wormsbecher, Spontaneously broken conformal invariance in observables, 1507.08162.
[21] Y.-t. Huang and C. Wen, Soft theorems from anomalous symmetries, JHEP 12 (2015) 143, [1509.07840].
[22] ] P. Di Vecchia, R. Marotta, M. Mojaza and J. Nohle, New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order, Phys. Rev. D93 (2016) 085015, [1512.03316]. 87
[23] I. Low and A. V. Manohar, Spontaneously broken space-time symmetries and Goldstone’s theorem, Phys. Rev. Lett. 88 (2002) 101602, [hep-th/0110285].
[24] C. Cheung, K. Kampf, J. Novotny and J. Trnka, Effective Field Theories from Soft Limits of Scattering Amplitudes, Phys. Rev. Lett. 114 (2015) 221602, [1412.4095].
[25] K. Hinterbichler and A. Joyce, Hidden symmetry of the Galileon, Phys. Rev. D92 (2015) 023503, [1501.07600].
[26] H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Proc. Roy. Soc. Lond. A 269, 21 (1962); R. K. Sachs, Proc. Roy. Soc. Lond. A 270, 103 (1962).
[27] G. Barnich and C. Troessaert, Phys. Rev. Lett. 105, 111103 (2010) [arXiv:0909.2617 [gr-qc]]; G. Barnich and C. Troessaert, JHEP 1112, 105 (2011) [arXiv:1106.0213 [hep-th]]; G. Barnich and C. Troessaert, JHEP 1311, 003 (2013) [arXiv:1309.0794 [hep-th]].
[28] A. Strominger, arXiv:1312.2229 [hep-th]; T. He, V. Lysov, P. Mitra and A. Strominger, arXiv:1401.7026 [hep-th]; D. Kapec, V. Lysov, S. Pasterski and A. Strominger, arXiv:1406.3312 [hep-th].
[29] F. Cachazo and A. Strominger, arXiv:1404.4091 [hep-th].
[30] D. Kapec, M. Perry, A. M. Raclariu and A. Strominger, Phys. Rev. D 96, no. 8, 085002 (2017) doi:10.1103/PhysRevD.96.085002 [arXiv:1705.04311 [hep-th]].
[31] Z. Z. Li, H. H. Lin, and S. Q. Zhang, JHEP, (2017) 2017: 32. JHEP 1712, 032 (2017) doi:10.1007/JHEP12(2017)032 [arXiv:1710.00480 [hep-th]].
[32] I.~Low and Z.~Yin, Ward Identity and Scattering Amplitudes in Nonlinear Sigma Models, [1709.08639].
[33] F.~Cachazo, P.~Cha, and S.~Mizera, Extensions of Theories from Soft Limits, JHEP 06, 170 (2016), [1604.03893] 88
[34] Z. Bern, S. Davies, P. Di Vecchia, and J. Nohle, “Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance,” Phys. Rev. D90 no. 8, (2014) 084035, arXiv: 1406.6987 [hep-th].
[35] H. Elvang, C. R. T. Jones and S. G. Naculich, Phys. Rev. Lett. 118, no. 23, 231601 (2017) doi:10.1103/PhysRevLett.118.231601 [arXiv:1611.07534 [hep-th]].
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