Abstract
The fundamental theory of strong interaction is quantum chromodynamics (QCD), which provides dynamics of quarks and gluons. These ingredients are confined in hadrons, which are colorless particles. The original Lagrangian of QCD has the approximate chiral symmetry with very small quark masses for up and down quarks, which is spontaneously and dynamically broken to provide masses of hadronic scale to quarks and create pions as Nambu-Goldstone bosons. These fundamental physics (confinement and chiral symmetry breaking) should have a strong impact on the dynamics of hadrons and nuclei. In this chapter, the QCD Lagrangian is introduced first, and efforts to construct the QCD physics in terms of low-energy effective theory with the dual Ginzburg-Landau (DGL) Lagrangian are presented. The model studies on linear potential, glueballs, pion spectrum, etc. in association with color confinement and chiral symmetry breaking are discussed in detail using the DGL Lagrangian. Future applications of the DGL theory to construct hadrons and nuclei are described for the challenge.
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References
K. Amemiya, H. Suganuma, Off-diagonal gluon mass generation and infrared Abelian dominance in the maximally Abelian gauge in lattice QCD. Phys. Rev. D60, 114509 (1999)
N. Arasaki, S. Ejiri, S. Kitahara, Y. Matsubara, T. Suzuki, Monopole action and monopole condensation in SU(3) lattice QCD. Phys. Lett. B395, 275–282 (1997)
M. Atiyah, I. Singer, The Index of elliptic operators. I. Ann. Math. 87, 484–530 (1968)
K. Bardakci, S. Samuel, Local field theory for solitons. Phys. Rev. D18, 2849–2860 (1978)
M. Chernodub, QCD vacuum as dual superconductor: quark confinement and topology. Handbook of Nuclear Physics (2022), Springer
M.N. Chernodub, F.V. Gubarev, Instantons and monopoles in maximal Abelian projection of SU(2) gluodynamics. JETP Lett. 62, 100–104 (1995)
D.I. Diakonov, Y. Petrov, P.V. Pobylitsa, M.V. Polyakov, C. Weiss, Unpolarized and polarized quark distributions in the large-Nc limit. Nucl. Phys. D56, 4069–4083 (1997)
P.A.M. Dirac, The theory of magnetic poles. Phys. Rev. 74, 817–830 (1948)
M. Fukushima, S. Sasaki, H. Suganuma, A. Tanaka, H. Toki, D. Diakonov, Clustering of monopoles in the instanton vacuum. Phys. Lett. B399, 141–147 (1997)
D.J. Gross, F. Wilzcek, Ultraviolet behavior of non-Abelian gauge theories. Phys. Rev. Lett. 30, 1343–1346 (1973)
M.Y. Han, Y. Nambu, Three triplet model with double SU(3) symmetry. Phys. Rev. 139(B), 1006–B1010 (1965)
G. ’t Hooft, Topology of the gauge condition and new confinement phases in non-Abelian gauge theories. Nucl. Phys. B190, 455–478 (1981)
H. Ichie, H. Suganuma, H. Toki, QCD phase transition at finite temperature in the dual Ginzburg-Landau theory. Phys. Rev. D52, 2944–2950 (1995)
Y. Koma, H. Suganuma, H. Toki, Flux-tube ring and glueball properties in the dual Ginzburg-Landau theory. Phys. Rev. 60, 074024 (1999)
K. Kusaka, T. Sakai, H. Toki, Bethe-Salpeter approach for mesons in the pion channel within the Dual Ginzburg-Landau theory. Prog. Theor. Phys. 101, 722–747 (1999)
S. Maedan, T. Suzuki, An infrared effective theory of quark confinement based on monopole condensation. Prog. Theor. Phys. 81, 229–240 (1989)
S. Mandelstam, Charge-monopole duality and the phases of non-Abelian gauge theories. Phys. Rev. D19, 2391–2409 (1979)
Y. Nambu, Strings, monopoles, and gauge fields. Phys. Rev. D10, 4262–4268 (1974)
Y. Nambu, G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. Phys. Rev. 122(1), 345–358 (1961)
H.B. Nielsen, P. Olesen, Vortex-line models for dual strings. Nucl. Phys. B61, 45–61 (1973)
H.D. Politzer, Reliable perturbative results for strong interactions? Phys. Rev. Lett. 30, 1346–1349 (1973)
H. Suganuma, Quantum chromodynamics, quark confinement and chiral symmetry breaking. Handbook of Nuclear Physics (2022), Springer
H. Suganuma, S. Sasaki, H. Toki, Color confinement, quark pair creation and dynamical chiral-symmetry breaking in the dual Ginzburg-Landau theory. Nucl. Phys. B435, 207–240 (1995a)
H. Suganuma, K. Itakura, H. Toki, O. Miyamura, Correlation between instantons and QCD-monopoles in the Abelian gauge, in International Workshop on Non-Perturbative Approaches to Quantum Chromodynamics (PNPI Press, 1995b), pp.224–238. arXiv:hep-ph/9512347 [hep-ph]
T. Suzuki, A Ginzburg-Landau type theory of quark confinement. Prog. Theor. Phys. 80, 929–934 (1988)
K.G. Wilson, Confinement of quarks. Phys. Rev. D10, 2445–2459 (1974)
D. Zwanziger, Local-Lagrangian quantum field theory of electric and magnetic charges. Phys. Rev. D3, 880–891 (1971)
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Toki, H. (2023). Quark Nuclear Physics for Hadrons and Nuclei in the Dual Ginzburg-Landau Theory. In: Tanihata, I., Toki, H., Kajino, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-15-8818-1_20-1
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