リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

大学・研究所にある論文を検索できる 「Center vortex and confinement in Yang–Mills theory and QCD with anomaly-preserving compactifications」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。
リケラボ

コピーが完了しました

URLをコピーしました

論文の公開元へ論文の公開元へ
書き出し

Center vortex and confinement in Yang–Mills theory and QCD with anomaly-preserving compactifications

Tanizaki, Yuya Ünsal, Mithat 京都大学 DOI:10.1093/ptep/ptac042

2022.04

概要

We construct an anomaly-preserving compactification of 4D gauge theories, including SU(N) Yang–Mills theory, N=1 supersymmetric Yang–Mills theory, and quantum chromodynamics (QCD), down to 2D by turning on the ’t Hooft flux through T2. This provides a new framework to analytically calculate nonperturbative properties such as confinement, chiral symmetry breaking, and the multi-branch structure of vacua. We give a semiclassical description of these phenomena based on the center vortex and show that it enjoys the same anomaly-matching condition as the original 4D gauge theory. We conjecture that the weak-coupling vacuum structure on small T²×ℝ² is adiabatically connected to the strong-coupling regime on ℝ⁴ without any phase transitions. In QCD with fundamental quarks as well, we can turn on the ’t Hooft flux either by activating the SU(Nf)V symmetry twist for Nf = N flavors or by introducing a magnetic flux of baryon number U(1)B for arbitrary Nf flavors. In both cases, the weak-coupling center-vortex theory gives a prediction consistent with the chiral Lagrangian of 4D QCD.

論文の公開元へ

この論文で使われている画像

関連論文

関連論文をもっと見る

参考文献

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

K. G. Wilson, Phys. Rev. D 10, 2445 (1974).

Y. Nambu, Phys. Rev. D 10, 4262 (1974).

S. Mandelstam, Phys. Rep. 23, 245 (1976).

A. M. Polyakov, Phys. Lett. B 59, 82 (1975).

G. ’t Hooft, Nucl. Phys. B 138, 1 (1978).

J. M. Cornwall, Nucl. Phys. B 157, 392 (1979).

H. B. Nielsen and P. Olesen, Nucl. Phys. B 160, 380 (1979).

J. Ambjorn and P. Olesen, Nucl. Phys. B 170, 265 (1980).

T. Banks, R. Myerson, and J. B. Kogut, Nucl. Phys. B 129, 493 (1977).

R. Savit, Phys. Rev. Lett. 39, 55 (1977).

M. Creutz, L. Jacobs, and C. Rebbi, Phys. Rev. Lett. 42, 1390 (1979).

M. Creutz, L. Jacobs, and C. Rebbi, Phys. Rev. D 20, 1915 (1979).

N. Seiberg and E. Witten, Nucl. Phys. B 426, 19 (1994) [arXiv:hep-th/9407087] [Search inSPIRE].

M. Unsal, Phys. Rev. Lett. 100, 032005 (2008) [arXiv:0708.1772 [hep-th]] [Search inSPIRE].

M. Unsal, Phys. Rev. D 80, 065001 (2009) [arXiv:0709.3269 [hep-th]] [Search inSPIRE].

M. Unsal and L. G. Yaffe, Phys. Rev. D 78, 065035 (2008) [arXiv:0803.0344 [hep-th]] [Search in

SPIRE].

M. Shifman and M. Unsal, Phys. Rev. D 78, 065004 (2008) [arXiv:0802.1232 [hep-th]] [Search in

SPIRE].

N. M. Davies, T. J. Hollowood, and V. V. Khoze, J. Math. Phys. 44, 3640 (2003) [arXiv:hepth/0006011 ] [Search inSPIRE].

G. ’t Hooft, Nucl. Phys. B 153, 141 (1979).

G. ’t Hooft, Phys. Scr. 24, 841 (1981).

44/47

Downloaded from https://academic.oup.com/ptep/article/2022/4/04A108/6553859 by KYOTO UNIVERSITY Medical Library user on 07 July 2022

= (p1 ei N + p1 e−i N + p2 ei N + p2 e−i N )N

θ N

A

θ + 2π |R|

− cos

= 1+

cos

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

PTEP 2022, 04A108

Y. Tanizaki and M. Ünsal

45/47

Downloaded from https://academic.oup.com/ptep/article/2022/4/04A108/6553859 by KYOTO UNIVERSITY Medical Library user on 07 July 2022

[21] Y. Tanizaki, T. Misumi, and N. Sakai, J. High Energy Phys. 1712, 056 (2017) [arXiv:1710.08923

[hep-th]] [Search inSPIRE].

[22] M. Yamazaki, J. High Energy Phys. 1810, 172 (2018) [arXiv:1711.04360 [hep-th]] [Search inSP

IRE].

[23] D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, J. High Energy Phys. 1502, 172 (2015)

[arXiv:1412.5148 [hep-th]] [Search inSPIRE].

[24] A. Gonzalez-Arroyo and A. Montero, Phys. Lett. B 442, 273 (1998) [arXiv:hep-th/9809037 ] [Se

arch inSPIRE].

[25] A. Montero, Phys. Lett. B 467, 106 (1999) [arXiv:hep-lat/9906010 ] [Search inSPIRE].

[26] A. Montero, Phys. Lett. B 483, 309 (2000) [arXiv:hep-lat/0004002 ] [Search inSPIRE].

[27] E. Witten, Ann. Phys. 128, 363 (1980).

[28] P. Di Vecchia and G. Veneziano, Nucl. Phys. B 171, 253 (1980).

[29] E. Witten, Phys. Rev. Lett. 81, 2862 (1998) [arXiv:hep-th/9807109 ] [Search inSPIRE].

[30] D. Gaiotto, A. Kapustin, Z. Komargodski, and N. Seiberg, J. High Energy Phys. 1705, 091 (2017)

[arXiv:1703.00501 [hep-th]] [Search inSPIRE].

[31] D. Gaiotto, Z. Komargodski, and N. Seiberg, J. High Energy Phys. 1801, 110 (2018)

[arXiv:1708.06806 [hep-th]] [Search inSPIRE].

[32] E. Witten, Nucl. Phys. B 202, 253 (1982).

[33] Y. Tanizaki, J. High Energy Phys. 1808, 171 (2018) [arXiv:1807.07666 [hep-th]] [Search inSPIRE].

[34] D. J. Gross, R. D. Pisarski, and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981).

[35] M. Luscher, Nucl. Phys. B 219, 233 (1983).

[36] P. van Baal and J. Koller, Ann. Phys. 174, 299 (1987).

[37] M. Unsal and L. G. Yaffe, J. High Energy Phys. 1008, 030 (2010) [arXiv:1006.2101 [hep-th]]

[Search inSPIRE].

[38] T. Eguchi and H. Kawai, Phys. Rev. Lett. 48, 1063 (1982).

[39] A. Gonzalez-Arroyo and M. Okawa, Phys. Rev. D 27, 2397 (1983).

[40] W. Bietenholz, J. Nishimura, Y. Susaki, and J. Volkholz, J. High Energy Phys. 0610, 042 (2006)

[arXiv:hep-th/0608072 ] [Search inSPIRE].

[41] M. Teper and H. Vairinhos, Phys. Lett. B 652, 359 (2007) [arXiv:hep-th/0612097 ] [Search inSP

IRE].

[42] T. Azeyanagi, M. Hanada, T. Hirata, and T. Ishikawa, J. High Energy Phys. 0801, 025 (2008)

[arXiv:0711.1925 [hep-lat]] [Search inSPIRE].

[43] A. Gonzalez-Arroyo and M. Okawa, J. High Energy Phys. 1007, 043 (2010) [arXiv:1005.1981

[hep-th]] [Search inSPIRE].

[44] T. Azeyanagi, M. Hanada, M. Unsal, and R. Yacoby, Phys. Rev. D 82, 125013 (2010)

[arXiv:1006.0717 [hep-th]] [Search inSPIRE].

[45] L. Del Debbio, M. Faber, J. Greensite, and S. Olejnik, Phys. Rev. D 55, 2298 (1997) [arXiv:heplat/9610005 ] [Search inSPIRE].

[46] M. Faber, J. Greensite, and S. Olejnik, Phys. Rev. D 57, 2603 (1998) [arXiv:hep-lat/9710039 ]

[Search inSPIRE].

[47] L. Del Debbio, M. Faber, J. Giedt, J. Greensite, and S. Olejnik, Phys. Rev. D 58, 094501 (1998)

[arXiv:hep-lat/9801027 ] [Search inSPIRE].

[48] K. Langfeld, O. Tennert, M. Engelhardt, and H. Reinhardt, Phys. Lett. B 452, 301 (1999)

[arXiv:hep-lat/9805002 ] [Search inSPIRE].

[49] T. G. Kovacs and E. T. Tomboulis, Phys. Rev. D 57, 4054 (1998) [arXiv:hep-lat/9711009 ] [Search

inSPIRE].

[50] M. Engelhardt, K. Langfeld, H. Reinhardt, and O. Tennert, Phys. Rev. D 61, 054504 (2000)

[arXiv:hep-lat/9904004 ] [Search inSPIRE].

[51] P. de Forcrand and M. D’Elia, Phys. Rev. Lett. 82, 4582 (1999) [arXiv:hep-lat/9901020 ] [Search

inSPIRE].

[52] J. Greensite, Prog. Part. Nucl. Phys. 51, 1 (2003) [arXiv:hep-lat/0301023 ] [Search inSPIRE].

[53] A. Kapustin and N. Seiberg, J. High Energy Phys. 1404, 001 (2014) [arXiv:1401.0740 [hep-th]]

[Search inSPIRE].

[54] A. Kapustin and R. Thorngren, Adv. Theor. Math. Phys. 18, 1233 (2014) [arXiv:1308.2926 [hepth]] [Search inSPIRE].

[55] P. van Baal, Commun. Math. Phys. 85, 529 (1982).

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

PTEP 2022, 04A108

[56]

[57]

[58]

[59]

[60]

[62]

[63]

[64]

[65]

[66]

[67]

[68]

[69]

[70]

[71]

[72]

[73]

[74]

[75]

[76]

[77]

[78]

[79]

[80]

[81]

[82]

[83]

[84]

[85]

[86]

E. B. Bogomolny, Sov. J. Nucl. Phys. 24, 449 (1976) [Yad. Fiz. 24, 861 (1976)].

M. K. Prasad and C. M. Sommerfield, Phys. Rev. Lett. 35, 760 (1975).

G. ’t Hooft, Commun. Math. Phys. 81, 267 (1981).

M. Garcia Perez, A. Gonzalez-Arroyo, and B. Soderberg, Phys. Lett. B 235, 117 (1990).

M. R. Douglas and S. H. Shenker, Nucl. Phys. B 447, 271 (1995) [arXiv:hep-th/9503163 ] [Search

inSPIRE].

T. C. Kraan and P. van Baal, Phys. Lett. B 428, 268 (1998) [arXiv:hep-th/9802049 ] [Search inSP

IRE].

T. C. Kraan and P. van Baal, Phys. Lett. B 435, 389 (1998) [arXiv:hep-th/9806034 ] [Search inSP

IRE].

K.-M. Lee and C.-H. Lu, Phys. Rev. D 58, 025011 (1998) [arXiv:hep-th/9802108 ] [Search inSP

IRE].

K.-M. Lee and P. Yi, Phys. Rev. D 56, 3711 (1997) [arXiv:hep-th/9702107 ] [Search inSPIRE].

E. PoppitzM. E. Shalchian T.,J. High Energy Phys. 1801, 029 (2018) [arXiv:1708.08821 [hep-th]]

[Search inSPIRE].

Y. Kikuchi and Y. Tanizaki, Prog. Theor. Exp. Phys. 2017, 113B05 (2017) [arXiv:1708.01962 [hepth]] [Search inSPIRE].

Y. Tanizaki and Y. Kikuchi, J. High Energy Phys. 1706, 102 (2017) [arXiv:1705.01949 [hep-th]]

[Search inSPIRE].

A. Karasik and Z. Komargodski, J. High Energy Phys. 1905, 144 (2019) [arXiv:1904.09551 [hepth]] [Search inSPIRE].

Y. Tanizaki and T. Sulejmanpasic, Phys. Rev. B 98, 115126 (2018) [arXiv:1805.11423 [condmat.str-el]] [Search inSPIRE].

C. Cordova, D. S. Freed, H. T. Lam, and N. Seiberg, SciPost Phys. 8, 001 (2020) [arXiv:1905.09315

[hep-th]] [Search inSPIRE].

C. Cordova, D. S. Freed, H. T. Lam, and N. Seiberg, SciPost Phys. 8, 002 (2020) [arXiv:1905.13361

[hep-th]] [Search inSPIRE].

Y. Tanizaki, Y. Kikuchi, T. Misumi, and N. Sakai, Phys. Rev. D 97, 054012 (2018)

[arXiv:1711.10487 [hep-th]] [Search inSPIRE].

G. V. Dunne, Y. Tanizaki, and M. Ünsal, J. High Energy Phys. 1808, 068 (2018) [arXiv:1803.02430

[hep-th]] [Search inSPIRE].

T. Furusawa, Y. Tanizaki, and E. Itou, Phys. Rev. Res. 2, 033253 (2020) [arXiv:2005.13822 [hepth]] [Search inSPIRE].

M. Yamazaki and K. Yonekura, J. High Energy Phys. 1707, 088 (2017) [arXiv:1704.05852 [hepth]] [Search inSPIRE].

M. Garcia Perez and A. Gonzalez-Arroyo, J. Phys. A 26, 2667 (1993) [arXiv:hep-lat/9206016 ]

[Search inSPIRE].

E. Itou, J. High Energy Phys. 1905, 093 (2019) [arXiv:1811.05708 [hep-th]] [Search inSPIRE].

A. A. Cox, E. Poppitz, and F. D. Wandler, J. High Energy Phys. 2110, 069 (2021)

[arXiv:2106.11442 [hep-th]] [Search inSPIRE].

G. V. Dunne and M. Unsal, J. High Energy Phys. 1211, 170 (2012) [arXiv:1210.2423 [hep-th]]

[Search inSPIRE].

G. V. Dunne and M. Unsal, Phys. Rev. D 87, 025015 (2013) [arXiv:1210.3646 [hep-th]] [Search

inSPIRE].

T. Misumi, M. Nitta, and N. Sakai, J. High Energy Phys. 1406, 164 (2014) [arXiv:1404.7225 [hepth]] [Search inSPIRE].

T. Misumi, M. Nitta, and N. Sakai, J. High Energy Phys. 1605, 057 (2016) [arXiv:1604.00839

[hep-th]] [Search inSPIRE].

H. Shimizu and K. Yonekura, Phys. Rev. D 97, 105011 (2018) [arXiv:1706.06104 [hep-th]] [Sear

ch inSPIRE].

Z. Komargodski, T. Sulejmanpasic, and M. Unsal, Phys. Rev. B 97, 054418 (2018)

[arXiv:1706.05731 [cond-mat.str-el]] [Search inSPIRE].

M. M. Anber and E. Poppitz, J. High Energy Phys. 1809, 076 (2018) [arXiv:1807.00093 [hep-th]]

[Search inSPIRE].

M. M. Anber and E. Poppitz, JHEP 05, 151 (2019) [arXiv:1811.10642] [hep-th] [Search inSPIRE].

46/47

Downloaded from https://academic.oup.com/ptep/article/2022/4/04A108/6553859 by KYOTO UNIVERSITY Medical Library user on 07 July 2022

[61]

Y. Tanizaki and M. Ünsal

A Self-archived copy in

Kyoto University Research Information Repository

https://repository.kulib.kyoto-u.ac.jp

PTEP 2022, 04A108

Y. Tanizaki and M. Ünsal

47/47

Downloaded from https://academic.oup.com/ptep/article/2022/4/04A108/6553859 by KYOTO UNIVERSITY Medical Library user on 07 July 2022

[87] A. Armoni and S. Sugimoto, J. High Energy Phys. 1903, 175 (2019) [arXiv:1812.10064 [hep-th]]

[Search inSPIRE].

[88] T. Misumi, Y. Tanizaki, and M. Ünsal, J. High Energy Phys. 1907, 018 (2019) [arXiv:1905.05781

[hep-th]] [Search inSPIRE].

[89] M. Honda, E. Itou, Y. Kikuchi, and Y. Tanizaki, Prog Theor Exp Phys. 2022, 033B01 (2022)

[arXiv:2110.14105] [hep-th] [Search inSPIRE].

[90] E. Cohen and C. Gomez, Phys. Rev. Lett. 52, 237 (1984).

[91] E. Witten, Nucl. Phys. B 223, 422 (1983).

[92] E. Witten, Commun. Math. Phys. 92, 455 (1984). [,201(1983)].

[93] E. Witten, Nucl. Phys. B 156, 269 (1979).

[94] G. Veneziano, Nucl. Phys. B 159, 213 (1979).

[95] E. Poppitz and T. Sulejmanpasic, J. High Energy Phys. 1309, 128 (2013) [arXiv:1307.1317 [hepth]] [Search inSPIRE].

[96] T. Iritani, E. Itou, and T. Misumi, J. High Energy Phys. 1511, 159 (2015) [arXiv:1508.07132 [heplat]] [Search inSPIRE].

[97] A. Cherman, T. Schafer, and M. Unsal, Phys. Rev. Lett. 117, 081601 (2016) [arXiv:1604.06108

[hep-th]] [Search inSPIRE].

[98] A. Cherman, S. Sen, M. Unsal, M. L. Wagman, and L. G. Yaffe, Phys. Rev. Lett. 119, 222001

(2017) [arXiv:1706.05385 [hep-th]] [Search inSPIRE].

[99] H. Kouno, Y. Sakai, T. Makiyama, K. Tokunaga, T. Sasaki, and M. Yahiro, J. Phys. G 39, 085010

(2012).

[100] H. Kouno, T. Misumi, K. Kashiwa, T. Makiyama, T. Sasaki, and M. Yahiro, Phys. Rev. D 88,

016002 (2013) [arXiv:1304.3274 [hep-ph]] [Search inSPIRE].

[101] H. Kouno, K. Kashiwa, J. Takahashi, T. Misumi, and M. Yahiro, Phys. Rev. D 93, 056009 (2016)

[arXiv:1504.07585 [hep-ph]] [Search inSPIRE].

[102] M. R. Douglas and G. W. Moore, arXiv:hep-th/9603167 [Search inSPIRE].

[103] M. J. Strassler, arXiv:hep-th/0104032 [Search inSPIRE].

[104] M. Shifman and M. Unsal, Phys. Rev. D 79, 105010 (2009) [arXiv:0808.2485 [hep-th]] [Search in

SPIRE].

[105] T. Sulejmanpasic, Y. Tanizaki, and M. Ünsal, J. High Energy Phys. 2006, 173 (2020)

[arXiv:2004.10328 [hep-th]] [Search inSPIRE].

[106] A. Armoni, M. Shifman, and G. Veneziano, Nucl. Phys. B 667, 170 (2003) [arXiv:hep-th/0302163

] [Search inSPIRE].

[107] M. Unsal and L. G. Yaffe, Phys. Rev. D 74, 105019 (2006) [arXiv:hep-th/0608180 ] [Search inSP

IRE].

[108] O. Aharony, N. Seiberg, and Y. Tachikawa, J. High Energy Phys. 1308, 115 (2013)

[arXiv:1305.0318 [hep-th]] [Search inSPIRE].

[109] T. Pantev and E. Sharpe, arXiv:hep-th/0502027 [Search inSPIRE].

[110] S. Hellerman, A. Henriques, T. Pantev, E. Sharpe, and M. Ando, Adv. Theor. Math. Phys. 11,

751 (2007) [arXiv:hep-th/0606034 ] [Search inSPIRE].

[111] S. Hellerman and E. Sharpe, Adv. Theor. Math. Phys. 15, 1141 (2011) [arXiv:1012.5999 [hep-th]]

[Search inSPIRE].

[112] Y. Tanizaki and M. Unsal, J. High Energy Phys. 2003, 123 (2020) [arXiv:1912.01033 [hep-th]]

[Search inSPIRE].

[113] Z. Komargodski, K. Ohmori, K. Roumpedakis, and S. Seifnashri, JHEP 03, 103 (2021)

[arXiv:2008.07567] [hep-th] [Search inSPIRE].

[114] A. Cherman and T. Jacobson, Phys. Rev. D 103, 105012 (2021) [arXiv:2012.10555 [hep-th]] [Sear

ch inSPIRE].

...

参考文献をもっと見る

全国の大学の
卒論・修論・学位論文
を
一発検索！

この論文の関連論文を見る