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Quantum Chromodynamics, Quark Confinement, and Chiral Symmetry Breaking: A Bridge Between Elementary Particle Physics and Nuclear Physics

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Handbook of Nuclear Physics

Abstract

Quantum chromodynamics (QCD) is the fundamental theory of the strong interaction, and it is described as an SU(Nc) gauge theory of quarks and gluons. In spite of the simple form of QCD action, QCD alone creates various interesting physical phenomena and thousands of different hadrons. In this chapter, after a brief overview of QCD physics, two important properties of nonperturbative QCD, that is, color confinement and spontaneous chiral symmetry breaking, are reviewed, including both the basics and recent progress. Quark confinement in various hadrons is investigated in terms of inter-quark potentials, using lattice QCD, the first-principles calculation of the strong interaction. As a result, the flux-tube (or string) picture is found to be widely applicable to quark confinement in mesons, baryons, and multi-quark hadrons in QCD. This chapter also deals with related interesting topics, such as a possible connection between QCD and the quark model, the dual superconductor picture for the confinement mechanism, and the relation between quark confinement and chiral symmetry breaking.

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References

  • S.L. Adler, Phys. Rev. 177, 2426 (1969); J.S. Bell, R. Jackiw, Nuovo Cim. A. 60, 47 (1969)

    Google Scholar 

  • K. Amemiya, H. Suganuma, Phys. Rev. D 60, 114509 (1999); S. Gongyo, T. Iritani, H. Suganuma, Phys. Rev. D 86, 094018 (2012); S. Gongyo, H. Suganuma, Phys. Rev. D 87, 074506 (2013)

    Google Scholar 

  • M.F. Atiyah, I.M. Singer, Ann. Math. 87, 484 (1968)

    Article  Google Scholar 

  • G.S. Bali, V. Bornyakov, M. Muller-Preussker, K. Schilling, Phys. Rev. D 54, 2863 (1996)

    Article  ADS  Google Scholar 

  • G.S. Bali, Phys. Rep. 343, 1 (2001); S. Necco, R. Sommer, Nucl. Phys. B 622, 328 (2002); JLQCD Collaboration (S. Aoki et al.), Phys. Rev. D 68, 054502 (2003)

    Google Scholar 

  • T. Banks, R. Myerson, J.B. Kogut, Nucl. Phys. B 129, 493 (1977); T.A. DeGrand, D. Toussaint, Phys. Rev. D 22, 2478 (1980)

    Google Scholar 

  • T. Banks, A. Casher, Nucl. Phys. B 169, 103 (1980)

    Article  ADS  Google Scholar 

  • V.G. Bornyakov, M.N. Chernodub, F.V. Gubarev, S.M. Morozov, M.I. Polikarpov, Phys. Lett. B 559, 214 (2003) 214

    Google Scholar 

  • V.V. Braguta, E.-M. Ilgenfritz, A.Y. Kotov, A.V. Molochkov, A.A. Nikolaev, Phys. Rev. D 94, 114510 (2016)

    Article  ADS  Google Scholar 

  • N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C.-P. Shen, C.E. Thomas, A. Vairo, C.-Z. Yuang, Phys. Rep. 873, 1 (2020) and its references

    Google Scholar 

  • N. Cardoso, M. Cardoso, P. Bicudo, Phys. Rev. D 84, 054508 (2011); N. Cardoso, P. Bicudo, Phys. Rev. D 87, 034504 (2013)

    Google Scholar 

  • A. Chodos, R.L. Jaffe, K. Johnson, C.B. Thorn, V.F. Weisskopf, Phys. Rev. D 9, 3471 (1974)

    Article  ADS  Google Scholar 

  • J.C. Collins, A. Duncan, S.D. Joglekar Phys. Rev. D 16, 438 (1977); N.K. Nielsen, Nucl. Phys. B 120, 212 (1977)

    Article  Google Scholar 

  • J.M. Cornwall, Phys. Rev. D 26, 1453 (1982)

    Article  ADS  Google Scholar 

  • CP-PACS Collaboration (S. Aoki et al.), Phys. Rev. Lett. 84, 238 (2000)

    Google Scholar 

  • M. Creutz, Phys. Rev. Lett. 43, 553 (1979); erratum: ibid.43, 890 (1979); Phys. Rev. D 21, 2308 (1980)

    Article  ADS  Google Scholar 

  • L. Del Debbio, M. Faber, J. Greensite, Å . Olejník, Phys. Rev. D 55, 2298 (1997); L. Del Debbio, M. Faber, J. Giedt, J. Greensite, Å . Olejník, Phys. Rev. D 58, 094501 (1998)

    ADS  Google Scholar 

  • A. De Rújula, H. Georgi, S.L. Glashow, Phys. Rev. D 12, 147 (1975)

    Article  ADS  Google Scholar 

  • C.E. Detar, J.B. Kogut, Phys. Rev. D 36, 2828 (1987)

    Article  ADS  Google Scholar 

  • D. Diakonov, V.Y. Petrov, Nucl. Phys. B 245, 259 (1984); Nucl. Phys. B 272, 457 (1986); M. Fukushima, S. Sasaki, H. Suganuma, A. Tanaka, H. Toki, Phys. Lett. B 399, 141 (1997)

    ADS  Google Scholar 

  • P.A.M. Dirac, Proc. Roy. Soc. (London) A 133, 60 (1931)

    ADS  Google Scholar 

  • T.M. Doi, H. Suganuma, T. Iritani, Phys. Rev. D 90, 094505 (2014); H. Suganuma, T.M. Doi, K. Redlich, C. Sasaki, J. Phys. G 44, 124001 (2017)

    Article  ADS  Google Scholar 

  • E. Eichten, K. Gottfried, T. Kinoshita, J.B. Kogut, K.D. Lane, T.M. Yan, Phys. Rev. Lett. 34, 369 (1975)

    Article  ADS  Google Scholar 

  • Z.F. Ezawa, A. Iwazaki, Phys. Rev. D 25, 2681 (1982); Phys. Rev. D 26, 632 (1982)

    Article  ADS  Google Scholar 

  • R.P. Feynman, Proceeding of High Energy Collision of Hadrons (Stony Brook, New York, 1969); J.D. Bjorken, E.A. Paschos, Phys. Rev. 185, 1975 (1969)

    Google Scholar 

  • K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979); Phys. Rev. D 21, 2848 (1980); erratum: ibid.22, 1499 (1980)

    Article  ADS  Google Scholar 

  • M. Gell-Mann, Phys. Lett. 8, 214 (1964); G. Zweig, CERN-TH-401 & CERN-TH-412 (1964)

    Article  ADS  Google Scholar 

  • M. Gell-Mann, R.J. Oakes, B. Renner, Phys. Rev. 175, 2195 (1968)

    Article  ADS  Google Scholar 

  • J. Goldstone, Nuovo Cim. 19, 154 (1961)

    Article  ADS  Google Scholar 

  • W. Greiner, S. Schramm, E. Stein, Quantum Chromodynamics, 3rd edn. (Springer, New York, 2007) and its reference

    Google Scholar 

  • V.N. Gribov, Nucl. Phys. B 139, 1 (1978)

    Article  ADS  Google Scholar 

  • D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973); H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973)

    Article  ADS  Google Scholar 

  • R. Hagedorn, Nuovo Cim. Suppl. 3, 147 (1965)

    Google Scholar 

  • M.Y. Han, Y.Nambu, Phys. Rev. 139, B1006 (1965)

    Article  ADS  Google Scholar 

  • T. Hatsuda, T. Kunihiro, Phys. Rep. 247, 221 (1994) and its references

    Google Scholar 

  • K. Higashijima, Phys. Rev. D29 1228, (1984); Prog. Theor. Phys. Suppl. 104, 1 (1991); V.A. Miransky, Dynamical Symmetry Breaking in Quantum Field Theories (World Scientific, 1995) and its references

    ADS  Google Scholar 

  • H. Ichie, H. Suganuma, Nucl. Phys. B 548, 365 (1999); Nucl. Phys. B 574, 70 (2000); Phys. Rev. D 60, 077501 (1999)

    Article  ADS  Google Scholar 

  • H. Ichie, V. Bornyakov, T. Streuer, G. Schierholz, Nucl. Phys. A721, 899 (2003)

    Article  ADS  Google Scholar 

  • T. Iritani, H. Suganuma, H. Iida, Phys. Rev. D 80, 114505 (2009)

    Article  ADS  Google Scholar 

  • JLQCD Collaboration (H. Fukaya et al.), Phys. Rev. Lett. 98, 172001 (2007)

    Google Scholar 

  • K.J. Juge, J. Kuti, C. Morningstar, Phys. Rev. Lett. 90, 161601 (2003)

    Article  ADS  Google Scholar 

  • F. Karsch, Lect. Notes Phys. 583, 209 (2002) and its references; HotQCD Collaboration (A. Bazavov et al.), Phys. Rev. D 85, 054503 (2012)

    Google Scholar 

  • F. Karsch, M. Lutgemeier, Nucl. Phys. B 550, 449 (1999)

    Article  ADS  Google Scholar 

  • K.-I. Kondo, S. Kato, A. Shibata, T. Shinohara, Phys. Rep. 579, 1 (2015) and it references

    Google Scholar 

  • A.S. Kronfeld, G. Schierholz, U.-J. Wiese, Nucl. Phys. B293, 461 (1987); A.S. Kronfeld, M.L. Laursen, G. Schierholz, U.-J. Wiese, Phys. Lett. B 198, 516 (1987)

    Article  ADS  Google Scholar 

  • T. Kugo, I. Ojima, Prog. Theor. Phys. Suppl. 66, 1 (1979)

    Article  ADS  Google Scholar 

  • S. Maedan, T. Suzuki, Prog. Theor. Phys. 81, 229 (1989); S. Maedan, Y. Matsubara, T. Suzuki, Prog. Theor. Phys. 84, 130 (1990)

    Article  ADS  Google Scholar 

  • J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)

    Article  ADS  Google Scholar 

  • O. Miyamura, Phys. Lett. B 353, 91 (1995); R.M. Woloshyn, Phys. Rev. D 51, 6411 (1995); F.X. Lee, R. Woloshyn, H.D. Trottier, Phys. Rev. D 53, 1532 (1996)

    Article  ADS  Google Scholar 

  • Y. Nambu, in Preludes Theoretical Physics, in honor of V.F. Weisskopf (North-Holland, 1966)

    Google Scholar 

  • Y. Nambu, in Symmetries and Quark Models (Wayne State University, 1969); Lecture Notes at the Copenhagen Symposium (1970); T. Goto, Prog. Theor. Phys. 46, 1560 (1971)

    Google Scholar 

  • Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); Phys. Rev. 124, 246 (1961)

    Article  ADS  Google Scholar 

  • Y. Nambu, Phys. Rev. D 10, 4262 (1974); G. ’t Hooft, in High Energy Physics (Editorice Compositori, Bologna, 1975); S. Mandelstam, Phys. Rep. 23, 245 (1976)

    Article  ADS  Google Scholar 

  • K. Nawa, H. Suganuma, T. Kojo, Phys. Rev. D 75, 086003 (2007); Phys. Rev. D 79, 026005 (2009)

    Article  ADS  Google Scholar 

  • H.B. Nielsen, M. Ninomiya, Nucl. Phys. B 185, 20 (1981); erratum: ibid.195, 541 (1981); Nucl. Phys. B 193, 173 (1981)

    Article  ADS  Google Scholar 

  • H.B. Nielsen, P. Olesen, Nucl. Phys. B 61, 45 (1973)

    Article  ADS  Google Scholar 

  • H. Ohata, H. Suganuma, Phys. Rev. D 103, 054505 (2021); H. Suganuma, H. Ohata, Universe 2021, 318 (2021)

    Article  ADS  Google Scholar 

  • M. Oka, K. Yazaki, Prog. Theor. Phys. 66, 556 (1981); Prog. Theor. Phys. 66, 572 (1981); S. Capstick, N. Isgur, Phys. Rev. D34, 2809 (1986)

    Article  ADS  Google Scholar 

  • F. Okiharu, H. Suganuma, T.T. Takahashi, Phys. Rev. Lett. 94, 192001 (2005); Phys. Rev. D 72, 014505 (2005)

    Article  ADS  Google Scholar 

  • Particle Data Group (R.L. Workman et al.), Prog. Theor. Exp. Phys. 2022, 083C01 (2022)

    Google Scholar 

  • A.M. Polyakov, Phys. Lett. B 59, 82 (1978)

    Article  ADS  Google Scholar 

  • T. Regge, Nuovo Cim. 14, 951 (1959)

    Article  ADS  Google Scholar 

  • J.L. Richardson, Phys. Lett. B 82, 272 (1979)

    Article  ADS  Google Scholar 

  • H.J. Rothe, Lattice Gauge Theories, 4th edn. (World Scientific, 2012) and its references

    Google Scholar 

  • T. Sakai, S. Sugimoto, Prog. Theor. Phys. 113, 843(2005); Prog. Theor. Phys. 114, 1083 (2005)

    Article  ADS  Google Scholar 

  • N. Sakumichi, H. Suganuma, Phys. Rev. D 90, 111501 (2014); Phys. Rev. D 92, 034511 (2015)

    Article  ADS  Google Scholar 

  • J.J. Sakurai, Ann. Phys. 11, 1 (1960)

    Article  ADS  Google Scholar 

  • N. Seiberg, Phys. Rev. D 49, 6857 (1994); Nucl. Phys. B 435, 129 (1995)

    Article  ADS  Google Scholar 

  • N. Seiberg, E. Witten, Nucl. Phys. B426, 19 (1994); Nucl. Phys. B431, 484 (1994)

    Article  ADS  Google Scholar 

  • M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979); Nucl. Phys. B 147, 448 (1979)

    Article  ADS  Google Scholar 

  • T.H.R. Skyrme, Proc. R. Soc. Lond. A 260, 127 (1961); Nucl. Phys. 31, 556 (1962)

    ADS  Google Scholar 

  • J.D. Stack, S.D. Neiman, R.J. Wensley, Phys. Rev. D 50, 3399 (1994); J.D. Stack, W.W. Tucker, R.J. Wensley, Nucl. Phys. B 639, 203 (2002)

    Article  ADS  Google Scholar 

  • H. Suganuma, T. Tatsumi, Prog. Theor. Phys. 90, 379 (1993); Phys. Lett. B 269, 371 (1991)

    Article  ADS  Google Scholar 

  • H. Suganuma, T. Tatsumi, Ann. Phys. 208, 470 (1991); S.P. Klevansky, Rev. Mod. Phys. 64, 649 (1992); V.A. Miransky, I.A. Shovkovy, Phys. Rep. 576, 1 (2015) and references therein

    Article  ADS  Google Scholar 

  • H. Suganuma, S. Sasaki, H. Toki, Nucl. Phys. B 435, 207 (1995), hep-ph/9312350 [hep-ph]; H. Toki, H. Suganuma, S. Sasaki, Nucl. Phys. A 577, 353 (1994); S. Sasaki, H. Suganuma, H. Toki, Prog. Theor. Phys. 94, 373 (1995)

    Article  ADS  Google Scholar 

  • H. Suganuma, A. Tanaka, S. Sasaki, O. Miyamura, Nucl. Phys. Proc. Suppl. 47, 302 (1996); S. Sasaki, O. Miyamura, Phys. Lett. B 443, 331 (1998); Phys. Rev. D 59, 094507 (1999)

    Article  ADS  Google Scholar 

  • H. Suganuma, K. Amemiya, A. Tanaka, H. Ichie, Nucl. Phys. A 670, 40 (2000); H. Suganuma, H. Ichie, A. Tanaka, K. Amemiya, Prog. Theor. Phys. Suppl. 131, 559 (1998)

    Article  ADS  Google Scholar 

  • Y. Sumino, Phys. Lett. B 571, 173 (2003)

    Article  ADS  Google Scholar 

  • T. Suzuki, I. Yotsuyanagi, Phys. Rev. D 42, 4257 (1990); S. Hioki, S. Kitahara, S. Kiura, Y. Matsubara, O. Miyamura, S. Ohno, T. Suzuki, Phys. Lett. B272, 326 (1991)

    Article  ADS  Google Scholar 

  • T.T. Takahashi, H. Suganuma, Phys. Rev. Lett. 90, 182001 (2003); Phys. Rev. D 70, 074506 (2004)

    Article  ADS  Google Scholar 

  • T.T. Takahashi, H. Matsufuru, Y. Nemoto, H. Suganuma, Phys. Rev. Lett. 86, 18 (2001); T.T. Takahashi, H. Suganuma, Y. Nemoto, H. Matsufuru, Phys. Rev. D 65, 114509 (2002)

    Article  ADS  Google Scholar 

  • G. ’t Hooft, in Recent Developments in Gauge Theories (Plenum Press, New York, 1980), p. 135

    Google Scholar 

  • G. ’t Hooft, Nucl. Phys. B 72, 461 (1974); E. Witten, Nucl. Phys. B 160, 57 (1979)

    Google Scholar 

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

    Google Scholar 

  • G. ’t Hooft, Nucl. Phys. B 190, 455 (1981)

    Google Scholar 

  • G. ’t Hooft, Phys. Rev. Lett. 37, 8 (1976); Phys. Rev. D14, 3432 (1976); erratum: ibid.18, 2199 (1978)

    Google Scholar 

  • S. Thurner, M. Feurstein, H. Markum, Phys. Rev. D 56, 4039 (1997)

    Article  ADS  Google Scholar 

  • H. Toki, S. Hirenzaki, T. Yamazaki, R.S. Hayano, Nucl. Phys. A 501, 653 (1989)

    Article  ADS  Google Scholar 

  • C. Vafa, E. Witten, Nucl. Phys. B 234, 173 (1984); Phys. Rev. Lett. 53, 535 (1984)

    Article  ADS  Google Scholar 

  • G. Veneziano, Nuovo Cim. A 57, 190 (1968)

    Article  ADS  Google Scholar 

  • K.G. Wilson, Phys. Rev. D 10, 2445 (1974); J.B. Kogut, L. Susskind, Phys. Rev. D 11, 395 (1975)

    Article  ADS  Google Scholar 

  • E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998)

    Article  ADS  Google Scholar 

  • A. Yamamoto, H. Suganuma, Phys. Rev. Lett. 101, 241601 (2008); Phys. Rev. D 79, 054504 (2009)

    Article  ADS  Google Scholar 

  • H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17, 48 (1935)

    Google Scholar 

  • D. Zwanziger, Nucl. Phys. B 323, 513 (1989); Nucl. Phys. B 364, 127 (1991); Nucl. Phys. B 412, 657 (1994)

    Article  ADS  Google Scholar 

  • D. Zwanziger, Phys. Rev. D 3, 880 (1971)

    Article  ADS  Google Scholar 

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Acknowledgements

H.S. was supported in part by a Grants-in-Aid for Scientific Research [19K03869] from Japan Society for the Promotion of Science.

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Correspondence to Hideo Suganuma .

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Suganuma, H. (2023). Quantum Chromodynamics, Quark Confinement, and Chiral Symmetry Breaking: A Bridge Between Elementary Particle Physics and Nuclear Physics. In: Tanihata, I., Toki, H., Kajino, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-15-8818-1_22-1

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