請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/53771完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 賀培銘(Pei-Ming Ho) | |
| dc.contributor.author | Wei-Ming Chen | en |
| dc.contributor.author | 陳韋名 | zh_TW |
| dc.date.accessioned | 2021-06-16T02:29:21Z | - |
| dc.date.available | 2015-08-11 | |
| dc.date.copyright | 2015-08-11 | |
| dc.date.issued | 2015 | |
| dc.date.submitted | 2015-07-31 | |
| dc.identifier.citation | [1] W. M. Chen and Y. t. Huang, JHEP 1111, 057 (2011) [arXiv:1107.2710 [hep-th]].
[2] W. M. Chen, Y. t. Huang and D. A. McGady, arXiv:1402.7062 [hep-th]. [3] W. M. Chen, Y. t. Huang and C. Wen, Phys. Rev. Lett. 115, no. 2, 021603 (2015) [arXiv:1412.1809 [hep-th]]. [4] W. M. Chen, Y. t. Huang and C. Wen, JHEP 1503, 150 (2015) [arXiv:1412.1811 [hep-th]]. [5] H. Elvang and Y. t. Huang, arXiv:1308.1697 [hep-th]. [6] R. Britto, F. Cachazo and B. Feng, Nucl. Phys. B 715, 499 (2005) [hep- th/0412308]; R. Britto, F. Cachazo, B. Feng and E. Witten, Phys. Rev. Lett. 94, 181602 (2005) [hep-th/0501052]. [7] Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Nucl. Phys. B 425, 217 (1994) [hep-ph/9403226]; [8] Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “Fusing gauge the- ory tree amplitudes into loop amplitudes,” Nucl. Phys. B 435, 59 (1995) [hep- ph/9409265]. [9] Z. Bern, L. J. Dixon and D. A. Kosower, Ann. Rev. Nucl. Part. Sci. 46, 109 (1996) [hep-ph/9602280]; JHEP 0408, 012 (2004) [arXiv:hep-ph/0404293]. [10] Z. Bern, Y. -t. Huang, [arXiv:1103.1869 [hep-th]]. [11] J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Nucl. Phys. B 828, 317 (2010) [arXiv:0807.1095 [hep-th]]; [12] J. M. Drummond, J. Henn, V. A. Smirnov and E. Sokatchev, JHEP 0701, 064 (2007) [hep-th/0607160]; J. M. Drummond, J. M. Henn and J. Plefka, JHEP 0905, 046 (2009) [arXiv:0902.2987 [hep-th]]. [13] Y. -t. Huang, A. E. Lipstein, JHEP 1011, 076 (2010). [arXiv:1008.0041 [hep- th]]. 113 [14] D. Gang, Y. -t. Huang, E. Koh, S. Lee, A. E. Lipstein, JHEP 1103, 116 (2011). [arXiv:1012.5032 [hep-th]]. [15] O. Aharony, O. Bergman, D. L. Jaeris and J. Maldacena, JHEP 0810, 091 (2008) [arXiv:0806.1218 [hep-th]]. [16] A. Gustavsson, Nucl. Phys. B 811, 66 (2009) [arXiv:0709.1260 [hep-th]]; J. Bagger and N. Lambert, Phys. Rev. D 77, 065008 (2008) [arXiv:0711.0955 [hep-th]]. [17] T. Bargheer, F. Loebbert and C. Meneghelli, Phys. Rev. D 82, 045016 (2010) [arXiv:1003.6120 [hep-th]]. [18] S. Lee, Phys. Rev. Lett. 105, 151603 (2010). [arXiv:1007.4772 [hep-th]]. [19] N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, JHEP 1003, 110 (2010) [arXiv:0903.2110 [hep-th]]. [20] N. Berkovits and J. Maldacena, JHEP 0809, 062 (2008) [arXiv:0807.3196 [hep- th]]; N. Beisert, R. Ricci, A. A. Tseytlin and M. Wolf, Phys. Rev. D 78, 126004 (2008) [arXiv:0807.3228 [hep-th]]. [21] T. Dennen, Y. -t. Huang, JHEP 1101, 140 (2011). [arXiv:1010.5874 [hep-th]]. [22] S. Caron-Huot, D. O’Connell, [arXiv:1010.5487 [hep-th]]. [23] I. Adam, A. Dekel, Y. Oz, JHEP 0904, 120 (2009). [arXiv:0902.3805 [hep-th]], JHEP 1010, 110 (2010) [arXiv:1008.0649 [hep-th]]; P. A. Grassi, D. Sorokin, L. Wul, JHEP 0908, 060 (2009). [arXiv:0903.5407 [hep-th]]. I. Bakhmatov, arXiv:1011.0985 [hep-th]. [24] L. F. Alday and J. M. Maldacena, JHEP 0706, 064 (2007) [arXiv:0705.0303 [hep-th]]. [25] G. P. Korchemsky, J. M. Drummond and E. Sokatchev, Nucl. Phys. B 795, 385 (2008) [arXiv:0707.0243 [hep-th]]; [26] J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Nucl. Phys. B 795, 52 (2008) [arXiv:0709.2368 [hep-th]]. [27] J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Nucl. Phys. B 826, 337 (2010) [arXiv:0712.1223 [hep-th]],Phys. Lett. B 662, 456 (2008) [arXiv:0712.4138 [hep-th]],Nucl. Phys. B 815, 142 (2009) [arXiv:0803.1466 [hep- th]]. [28] A. Brandhuber, P. Heslop and G. Travaglini, Nucl. Phys. B 794, 231 (2008) [arXiv:0707.1153 [hep-th]]. 114 [29] L. J. Mason and D. Skinner, JHEP 1012, 018 (2010) [arXiv:1009.2225 [hep-th]]. [30] S. Caron-Huot, arXiv:1010.1167 [hep-th]. [31] L. F. Alday, B. Eden, G. P. Korchemsky, J. Maldacena, E. Sokatchev, [arXiv:1007.3243 [hep-th]].; B. Eden, G. P. Korchemsky, E. Sokatchev, [arXiv:1007.3246 [hep-th]], [arXiv:1009.2488 [hep-th]]; B. Eden, P. Heslop, G. P. Korchemsky, E. Sokatchev, [arXiv:1103.3714 [hep-th]] . [32] T. Adamo, M. Bullimore, L. Mason and D. Skinner, arXiv:1103.4119 [hep- th],arXiv:1103.4353 [hep-th] [33] A. Agarwal, N. Beisert and T. McLoughlin, JHEP 0906, 045 (2009) [arXiv:0812.3367 [hep-th]]. [34] N. Drukker, J. Plefka and D. Young, JHEP 0811, 019 (2008) [arXiv:0809.2787 [hep-th]]; B. Chen and J. B. Wu, Nucl. Phys. B 825, 38 (2010) [arXiv:0809.2863 [hep-th]]; S. J. Rey, T. Suyama and S. Yamaguchi, JHEP 0903, 127 (2009) [arXiv:0809.3786 [hep-th]]. [35] J. M. Henn, J. Plefka, K. Wiegandt, JHEP 1008, 032 (2010) [arXiv:1004.0226 [hep-th]]. [36] M. S. Bianchi, M. Leoni, A. Mauri, S. Penati, C. Ratti and A. Santambrogio, arXiv:1103.3675 [hep-th]. [37] W. Chen, G. W. Semeno and Y. S. Wu, Phys. Rev. D 46, 5521 (1992) [arXiv:hep-th/9209005]. [38] M. S. Bianchi, M. Leoni, A. Mauri, S. Penati and A. Santambrogio, arXiv:1107.3139 [hep-th]. [39] M. B. Green, J. H. Schwarz and L. Brink, Nucl. Phys. B 198, 474 (1982). [40] A. Brandhuber, P. Heslop and G. Travaglini, JHEP 0908, 095 (2009) [arXiv:0905.4377 [hep-th]], JHEP 0910, 063 (2009) [arXiv:0906.3552 [hep-th]]. [41] Z. Bern, L. J. Dixon and V. A. Smirnov, Phys. Rev. D 72, 085001 (2005) [arXiv:hep-th/0505205]. [42] S. R. Coleman and B. Grossman, Nucl. Phys. B 203, 205 (1982). [43] A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, JHEP 0610, 014 (2006) [hep-th/0602178]. 115 [44] Z. Bern and A. G. Morgan, Nucl. Phys. B 467, 479 (1996) [hep-ph/9511336]; Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Phys. Lett. B 394, 105 (1997) [hep-th/9611127]; [45] R. Britto, B. Feng and P. Mastrolia, “The Cut-constructible part of QCD am- plitudes,” Phys. Rev. D 73, 105004 (2006) [hep-ph/0602178]. [46] C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, Phys. Lett. B 645, 213 (2007) [hep-ph/0609191]; C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, JHEP 0703, 111 (2007) [hep-ph/0612277]; P. Draggiotis, M. V. Garzelli, C. G. Papadopoulos and R. Pittau, JHEP 0904, 072 (2009) [arXiv:0903.0356 [hep-ph]]. [47] Z. Bern, L. J. Dixon and D. A. Kosower, Annals Phys. 322, 1587 (2007) [arXiv:0704.2798 [hep-ph]]. [48] Y. t. Huang and D. McGady, Phys. Rev. Lett. 112, no. 24, 241601 (2014) [arXiv:1307.4065 [hep-th]]. [49] M. B. Green and J. H. Schwarz, Phys. Lett. B 149, 117 (1984) [50] M. B. Green, J. H. Schwarz and P. C. West, Nucl. Phys. B 254, 327 (1985). [51] L. Alvarez-Gaume and E. Witten, Nucl. Phys. B 234, 269 (1984). [52] S. Weinberg, Phys. Rev. 140, B516 (1965). [53] F. E. Low, Phys. Rev. 110, 974 (1958). [54] D. J. Gross and R. Jackiw, Phys. Rev. 166, 1287 (1968); R. Jackiw, Phys. Rev. 168, 1623 (1968). [55] Z. Bern, S. Davies, P. Di Vecchia and J. Nohle, Phys. Rev. D 90, no. 8, 084035 (2014) [arXiv:1406.6987 [hep-th]]. [56] A. Strominger, JHEP 1407, 152 (2014) [arXiv:1312.2229 [hep-th]]. T. He, V. Lysov, P. Mitra and A. Strominger, arXiv:1401.7026 [hep-th]. F. Cachazo and A. Strominger, arXiv:1404.4091 [hep-th]. [57] A. J. Larkoski, Phys. Rev. D 90, 087701 (2014) [arXiv:1405.2346 [hep-th]]; J. Broedel, M. de Leeuw, J. Plefka and M. Rosso, Phys. Rev. D 90, 065024 (2014) [arXiv:1406.6574 [hep-th]]. J. Broedel, M. de Leeuw, J. Plefka and M. Rosso, arXiv:1411.2230 [hep-th]. [58] S. L. Adler, Phys. Rev. 137, B1022 (1965). [59] S. Weinberg, Phys. Rev. Lett. 17, 616 (1966). 116 [60] N. Arkani-Hamed, F. Cachazo and J. Kaplan, JHEP 1009, 016 (2010) [arXiv:0808.1446 [hep-th]]. [61] N. Marcus and J. H. Schwarz, Nucl. Phys. B 228, 145 (1983). [62] Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower and R. Roiban, Phys. Rev. Lett. 98, 161303 (2007) [hep-th/0702112]; Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, Phys. Rev. Lett. 103, 081301 (2009) [arXiv:0905.2326 [hep-th]]. [63] Z. Bern, S. Davies, T. Dennen and Y. t. Huang, Phys. Rev. Lett. 108, 201301 (2012) [arXiv:1202.3423 [hep-th]]. [64] Z. Bern, S. Davies and T. Dennen, Phys. Rev. D 90, no. 10, 105011 (2014) [arXiv:1409.3089 [hep-th]]. [65] H. Elvang and M. Kiermaier, JHEP 1010, 108 (2010) [arXiv:1007.4813 [hep- th]]. [66] N. Beisert, H. Elvang, D. Z. Freedman, M. Kiermaier, A. Morales and S. Stieberger, Phys. Lett. B 694, 265 (2010) [arXiv:1009.1643 [hep-th]]. [67] Z. Bern, S. Davies, T. Dennen, Y. t. Huang and J. Nohle, arXiv:1303.6605 [hep-th]. [68] D. V. Volkov and V. P. Akulov, JETP Lett. 16, 438 (1972) [Pisma Zh. Eksp. Teor. Fiz. 16, 621 (1972)]. [69] K. G. Chetyrkin, F. V. Tkachov, Nucl. Phys. B192, 159-204 (1981). [70] V. A. Smirnov, Berlin, Germany: Springer (2006) 283 p [71] Y. -t. Huang and A. E. Lipstein, JHEP 1010, 007 (2010) [arXiv:1004.4735 [hep-th]]. [72] A. Agarwal and D. Young, JHEP 1105, 100 (2011) [arXiv:1103.0786 [hep-th]]. [73] M. Benna, I. Klebanov, T. Klose and M. Smedback, JHEP 0809, 072 (2008) [arXiv:0806.1519 [hep-th]]; K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, JHEP 0809, 002 (2008) [arXiv:0806.4977 [hep-th]]. [74] D. Gang, Y. -t. Huang, E. Koh, S. Lee, A. E. Lipstein, work in progress [75] L. Mason and D. Skinner, J. Phys. A 44, 135401 (2011) [arXiv:1004.3498 [hep- th]]. [76] S. Caron-Huot, arXiv:1105.5606 [hep-th]. [77] M. Czakon, Comput. Phys. Commun. 175, 559 (2006) [arXiv:hep-ph/0511200]. 117 [78] L. J. Dixon, In *Boulder 1995, QCD and beyond* 539-582 [hep-ph/9601359]. [79] D. Forde, Phys. Rev. D 75, 125019 (2007) [arXiv:0704.1835 [hep-ph]]. [80] Y. -t. Huang, D. A. McGady and C. Peng, Phys. Rev. D 87, no. 8, 085028 (2013) [arXiv:1205.5606 [hep-th]]. [81] Z. Bern, L. J. Dixon and D. A. Kosower, Nucl. Phys. B 437, 259 (1995) [hep- ph/9409393]. [82] C. F. Berger, Z. Bern, L. J. Dixon, F. Febres Cordero, D. Forde, H. Ita, D. A. Kosower and D. Maitre, Phys. Rev. D 78, 036003 (2008) [arXiv:0803.4180 [hep-ph]]. [83] Z. Bern, L. J. Dixon and D. A. Kosower, Phys. Rev. D 71, 105013 (2005) [hep- th/0501240]; Z. Bern, L. J. Dixon and D. A. Kosower, Phys. Rev. D 73, 065013 (2006) [hep- ph/0507005]; D. Forde and D. A. Kosower, Phys. Rev. D 73, 065007 (2006) [hep-th/0507292]; D. Forde and D. A. Kosower, Phys. Rev. D 73, 061701 (2006) [hep-ph/0509358]; C. F. Berger, Z. Bern, L. J. Dixon, D. Forde and D. A. Kosower, Phys. Rev. D 75, 016006 (2007) [hep-ph/0607014]. [84] Z. Bern, L. J. Dixon, D. A. Kosower, Phys. Rev. D 72, 125003 (2005). [hep- ph/0505055]. [85] D. A. McGady and L. Rodina, Phys. Rev. D 90, no. 8, 084048 (2014) [arXiv:1311.2938 [hep-th]]. [86] C. Cheung and D. O’Connell, JHEP 0907, 075 (2009) [arXiv:0902.0981 [hep- th]]. [87] Z. Bern, J. J. Carrasco, T. Dennen, Y. -t. Huang and H. Ita, Phys. Rev. D 83, 085022 (2011) [arXiv:1010.0494 [hep-th]]. [88] S. Davies, Phys. Rev. D 84, 094016 (2011) [arXiv:1108.0398 [hep-ph]]. [89] B. Czech, Y. -t. Huang and M. Rozali, JHEP 1210, 143 (2012) [arXiv:1110.2791 [hep-th]]. [90] B. Zumino, Y. -S. Wu and A. Zee, Nucl. Phys. B 239, 477 (1984). [91] J. M. Henn, Phys. Rev. Lett. 110, no. 25, 251601 (2013) [arXiv:1304.1806 [hep- th]]. [92] H. Elvang, Y. t. Huang and C. Peng, JHEP 1109, 031 (2011) [arXiv:1102.4843 [hep-th]]. [93] S. He, Y. t. Huang and C. Wen, arXiv:1405.1410 [hep-th]. 118 [94] D. A. McGady and L. Rodina, arXiv:1408.5125 [hep-th]. [95] T. Bargheer, S. He and T. McLoughlin, Phys. Rev. Lett. 108, 231601 (2012) [arXiv:1203.0562 [hep-th]]. [96] T. Bargheer, N. Beisert, F. Loebbert and T. McLoughlin, J. Phys. A 45, 475402 (2012) [arXiv:1204.4406 [hep-th]]. A. Brandhuber, G. Travaglini and C. Wen, JHEP 1207, 160 (2012) [arXiv:1205.6705 [hep-th]]. A. Brandhuber, G. Travaglini and C. Wen, JHEP 1210, 145 (2012) [arXiv:1207.6908 [hep-th]]. S. Caron-Huot and Y. t. Huang, JHEP 1303, 075 (2013) [arXiv:1210.4226 [hep-th]]. [97] A. Brandhuber, G. Travaglini and C. Wen, work in progress. [98] J. Broedel and L. J. Dixon, JHEP 1005, 003 (2010) [arXiv:0911.5704 [hep-th]]. [99] H. Elvang, D. Z. Freedman and M. Kiermaier, JHEP 1011, 016 (2010) [arXiv:1003.5018 [hep-th]]. [100] M. T. Grisaru, H. N. Pendleton and P. van Nieuwenhuizen, Phys. Rev. D 15, 996 (1977). [101] M. Bianchi, S. He, Y. t. Huang and C. Wen, arXiv:1406.5155 [hep-th]. [102] N. Gromov and P. Vieira, JHEP 0901, 016 (2009) [arXiv:0807.0777 [hep-th]]. [103] T. McLoughlin and R. Roiban, JHEP 0812, 101 (2008) [arXiv:0807.3965 [hep- th]]. [104] L. F. Alday, G. Arutyunov and D. Bykov, JHEP 0811, 089 (2008) [arXiv:0807.4400 [hep-th]]. [105] C. Krishnan, JHEP 0809, 092 (2008) [arXiv:0807.4561 [hep-th]]. [106] T. McLoughlin, R. Roiban and A. A. Tseytlin, JHEP 0811, 069 (2008) [arXiv:0809.4038 [hep-th]]. [107] D. Gaiotto, S. Giombi and X. Yin, JHEP 0904, 066 (2009) [arXiv:0806.4589 [hep-th]]; T. Nishioka and T. Takayanagi, JHEP 0808, 001 (2008) [arXiv:0806.3391 [hep- th]]. [108] G. F. Sterman and M. E. Tejeda-Yeomans, Phys. Lett. B 552, 48 (2003) [arXiv:hep-ph/0210130]. [109] S. V. Ivanov, G. P. Korchemsky, A. V. Radyushkin, Yad. Fiz. 44, 230-240 (1986); G. P. Korchemsky, A. V. Radyushkin, Phys. Lett. B171, 459-467 (1986), Phys. Lett. B279, 359-366 (1992). [hep-ph/9203222]; G. P. Korchemsky, Mod. Phys. Lett. A4, 1257-1276 (1989); G. P. Korchemsky, G. Marchesini, Nucl. Phys. B406, 225-258 (1993). [hep- ph/9210281]. 119 [110] M. S. Bianchi and M. Leoni, JHEP 1411, 077 (2014) [arXiv:1403.3398 [hep- th]]. [111] Y. t. Huang, arXiv:1104.2021 [hep-th]. [112] F. Cachazo, P. Svrcek and E. Witten, JHEP 0409, 006 (2004) [arXiv:hep- th/0403047]. [113] J. M. Drummond and J. M. Henn, JHEP 1105, 105 (2011) [arXiv:1008.2965 [hep-th]]. [114] S. L. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969). [115] S. Caron-Huot, JHEP 1105, 080 (2011) [arXiv:1007.3224 [hep-ph]]. [116] N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, JHEP 1101, 041 (2011) [arXiv:1008.2958 [hep-th]]. [117] R. H. Boels, JHEP 1011, 113 (2010) [arXiv:1008.3101 [hep-th]]. [118] Henrik Johansson, Y-t Huang, work in progress [119] J. J. M. Carrasco, R. Kallosh, R. Roiban and A. A. Tseytlin, JHEP 1307, 029 (2013) [arXiv:1303.6219 [hep-th]]. [120] Z. Bern, S. Davies, T. Dennen, A. V. Smirnov and V. A. Smirnov, Phys. Rev. Lett. 111, 231302 (2013) [arXiv:1309.2498 [hep-th]].  | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/53771 | - |
| dc.description.abstract | 近年來，由於散射振幅上計算方法的發展，使得我們在不利用任何Lagrangian的資訊下可以得到散射振幅的結果。在這篇論文中，我們將討論關於散射振幅中不同面向的對稱性。在第一部分，我們討論三維的'陳-Simons-物質'理論中隱含的對偶保角超對稱性並利用其性質建構第一圈及第二圈四點散射振幅。在第二部分，我們討論了手徵規範理論中，一圈散射振幅中的奇宇稱有理項性質。 有理項的存在深切地關聯於局域性條件(locality)。並且我們可發現規範對稱的異常可解釋為局域性與歸一性(unitarity)條件間的相互矛盾。在最後一部分，我們證明了三維及四維超重力理論中雙純量場之弱動量定理。 然而更出乎意料地，散射振幅在雙費米子之弱動量極限之下給出了規律性的結果，此暗示著新對稱性存在的可能性。 除此之外，我們利用了弱動量定理分析可能的三維極超重力(maximal supergravity)重整抵消項(counter term)。在直接維度縮減(dimension reduction)的假設之下，我們排除了D^8R^4作為重整抵消項的可能性。 | zh_TW |
| dc.description.abstract | The development of modern on-shell methods for scattering amplitudes allows us to construct scattering amplitudes without the knowledge of a Lagrangian. In this thesis, various aspects of symmetry in scattering amplitudes are studied in this content. In Part 1, we review the hidden dual superconformal symmetry in three-dimensional Chern-Simons-matter theory and utilize it to construct the amplitudes up to two-loop. In Part 2, we discuss the rational terms of the parity-odd part of one-loop amplitudes in chiral gauge theories. The presence of rational terms is connected to the requirement of locality. Anomalies are then recast as the result of a inconsistent rational term with both locality and unitarity. Finally, we establish the soft theorems for double-soft-scalar-limit in three- and four-dimensional supergravity theories. Surprisingly, the amplitudes also have a universal pattern under double-soft-fermion-limit, there exists implicitly a new symmetry. As a preliminary application of the soft theorem to three-dimensional maximal supergravity, we rule out the direct dimensional reduction of D^8R^4 out as a valid counter term. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T02:29:21Z (GMT). No. of bitstreams: 1 ntu-104-F98222026-1.pdf: 1155651 bytes, checksum: 36b604a84443c889fec3b42410c18fcd (MD5) Previous issue date: 2015 | en |
| dc.description.tableofcontents | Introduction 1
1 S-matrix of ABJM Theory 12 1.1 ABJM Tree Amplitudes and Dual Superconformal Symmetry . . . . . 12 1.2 One-Loop Four-Point Amplitude (an Exercise) . . . . . . . . . . . . 16 1.3 Two-LoopIntegrand ........................... 20 1.4 Obtaining theTwo-Loop Integral .................... 25 2 Anomalies 31 2.1 Cut constructibility and the rational terms . . . . . . . . . . . . . . 31 2.2 Anomalies as spurious poles ....................... 34 2.3 Factorization properties of the rational term . . . . . . . . . . . . . . 41 2.4 Gauge invariant rational terms from Feynman rules . . . . . . . . . . 46 2.5 D=6 Gravitational anomaly ...................... 53 3 Soft Theorem in Supergravity Theories 60 3.1 Soft-scalar limits in N8Supergravity ................ 61 3.2 Soft scalars in three-dimensional supergravity . . . . . . . . . . . . . 69 3.3 Implications for Counter Terms in N =16SUGRA. . . . . . . . . . . 79 3.4 Double-Soft-Fermion in Akulov-Volkov Theory . . . . . . . . . . . . . 84 3.5 NewDouble-SoftTheorems ....................... 85 Conclusion 89 A Conventional and Integral Results for Part 1 97 B One-Loop Scalar Integral coefficients 102 List of Figures 112 Bibliography 113 | |
| dc.language.iso | zh-TW | |
| dc.title | 散射振幅與其對稱性 | zh_TW |
| dc.title | Aspects of Symmetry in Scattering Amplitudes | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 103-2 | |
| dc.description.degree | 博士 | |
| dc.contributor.coadvisor | 黃宇廷(Yu-tin Huang) | |
| dc.contributor.oralexamcommittee | 詹傳宗(Chuan-Tsung Chan),細道和夫(Kazuo Hosomichi),陳江梅(Chiang-Mei Chen) | |
| dc.subject.keyword | 散射振幅,對稱性, | zh_TW |
| dc.subject.keyword | scattering amplitudes,symmetry, | en |
| dc.relation.page | 120 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2015-07-31 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-104-1.pdf 目前未授權公開取用 | 1.13 MB | Adobe PDF |
系統中的文件，除了特別指名其著作權條款之外，均受到著作權保護，並且保留所有的權利。