Abstract
The dyonic field-effective Lagrangian in the Abelian projection of quantum chromodynamics has been constructed using an Abelian Higgs model with confinement and dual superconductivity. It has been shown that Abelian dyons are formed by the non-Abelian dyons in the process of Abelianization. Euclidean space–time’s partition function has also been calculated using this approach. It has been further demonstrated that massive scalar mode controls the rate of condensation of the perturbation vacuum surrounding a colored source and other massive vector mode controls the colored flux’s penetration length, both for dyonically condensed vacuum state. The boundary condition between type I and type II superconductors is determined. Furthermore, it has been shown that superconductivity becomes the actual confinement method brought out by the dyonic condensation.
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References
B S Rajput, S Kumar, R Swarup and B Singh Int. J. Theor. Phys. 48 1766 (2009)
B. S. Rajput, S. Kumar, Adv. High Energy Phys. 2010, Id713659 (2010)
B.S. Raiput, S. Kumar, Adv. High Energy Phys. 2010, Id 768054 (2011)
S Kumar Int. J. Theor. Phys. 49 512 (2010)
Y. Nambu, Phys. Rev. D10, 512 (1974); Y. Nambu Phys. Rep. C 23, 1250 (1976)
V.V. Braguta, P.V. Buividovich, M. N Chernodub, Proc. of Science, Lattice, 362 (2013)
G. t’ Hooft, Nucl. Phys. B 138, 1 (1978)
B. S. Rajput, J.M.S Rana, H.C. Chandola, Prog. Theor. Phys. 82, 153 (1989)
J. Garaud, M.N Chernodub, D. E. Kharzev, Phys, Rev. B102 (2020) 184516; J Garaud, M.N. Chernodub, D. E. Kharzev, Universe 8 (12), 657 (2022)
Z. F. Izawa, A. Iwazaki, Phys. Rev. D 23, 3026 (1981); Z. F. Izawa, A. Iwazaki, Phys. Rev. D 2464, 2264 (1981); Z. F. Izawa, A. Iwazaki, Phys. Rev. D 25, 2681 (1982); Z. F. Izawa, A. Iwazaki, Phys. Rev. D 26, 631 (1982)
A Di Giacomo J. High Energy Phys. 208 2021 (2021)
S. M. Chester, L.V Iliesiu. M. Mezei, Silviu S. Pufu, J. High Energy Phys. 157, 2018 (2018)
A Benfenati, A Samoilenka and E Babaev Phys. Rev B 103 144512 (2021)
M Barkman, A Samoilenka, A Benfenti and E Babaev Phys. Rev. B 105 224518 (2022)
Y M Cho Int. J. Mod. Phys A 29 145013 (2014)
B.S Rajput, S. Kumar, Il Nuovo Cim. 125B ,1499 (2010); B.S Rajput, S. Kumar, Eur. Phys. J. Plus 126, 22 (2011); B.S Rajput, S. Kumar, Int. Journ. Theor. Phys. 50, 2347 (2011)
M C Diamantini, C A Tmgenberger and V M Vonokur Comm. Phys. 4 25 (2021)
M. Chernodub, Handbook of Nuclear Phys., Springer Nature, Singapore, pp1–42 (2022)
B S Rajput Int. J. Theor. Phys. 56 1007 (2017)
B S Rajput J. Phys. 1 54 (2017)
S M Chester J. High. Energy Phys. 34 2021 (2021)
t’Hooft, G.: Nucl. Phys., B 190, 455 (1981)
Yu Simonov Phys. Usp. 39 313 (1996)
Alessandro, A. D’. Elia, M. D’.Tagliacozzo, L.:Nucl. Phys. B 774, 168 (2007)
Boyko, P. Yu. Barnyakov, V.G. Ilgenfritz, E. M. Kovalenko, A.V. Martemyano, B.V., M Muller-Preussker, M I Polikarpov and I Veselov Nucl. Phys. B 756 71 (2006)
Bali, G. S. Bornyakov, V. Muller-Preussker, M. Schilling, K.;Phys. Rev. D 54, 2863 (1996)
T Suzuki and T Yotsuyanagi Phys. Rev. D 42 4257 (1990)
T Suzuki Nucl. Phys. B 30 176 (1993)
V Bornyakov and G Schierholz Phys. Lett. B 384 190 (1996)
A Achucarro and T Vachaspati Phys. Rep. 327 427 (2000)
P Forgacs, S Reullion and M S Volkov Nucl. Phys. B 751 390 (2006)
T Sekido, K I Shiguro, Y Koma, Y Mori and T Suzuki Phys. Rev. D 76 031501 (2007)
D Diakonov and V Petrov Phys. Rev. D 76 056001 (2007)
B Julia and A Zee Phys. Rev. D 11 2227 (1975)
M K Prasad and C M Sommerfield Phys. Rev. Lett. 35 760 (1975)
P Goddard and D I Olive Rep. Prog. Phys. 41 1357 (1978)
M N Chernodub, V A Goy and A V Molochkov Phys. Rev. Lett. 130 11802 (2023)
M Hasegawa European Phys. Journ. C 82 1040 (2022)
B S Rajput and H C Chandola Nuovo Cim 106 509 (1993)
Acknowledgements
Preeti and N.M. would like to thank the Principal, GGDSD College, Chandigarh, for providing facilities to work. Preeti would like to thank CSIR, Govt. of India, for her financial support.
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Preeti, Singh, B. & Mahajan, N. Superconductivity due to condensation of dyons. Indian J Phys 98, 1849–1855 (2024). https://doi.org/10.1007/s12648-023-02910-w
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DOI: https://doi.org/10.1007/s12648-023-02910-w