Exact multi-instanton solutions to self-dual Yang–Mills equation on curved spaces

Nian, Jun; Qian, Yachao

doi:10.1142/s0217751x21501323

Exact multi-instanton solutions to self-dual Yang–Mills equation on curved spaces

Journal Article · Tue Jun 15 04:00:00 EDT 2021 · International Journal of Modern Physics A

DOI:https://doi.org/10.1142/s0217751x21501323· OSTI ID:1851017

^[1]; Qian, Yachao ^[2]

Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109, USA; OSTI
Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794-3800, USA

We find exact multi-instanton solutions to the self-dual Yang–Mills equation on a large class of curved spaces with [Formula: see text] isometry, generalizing the results previously found on [Formula: see text]. The solutions are featured with explicit multi-centered expressions and topological properties. As examples, we demonstrate the approach on several different curved spaces, including the Einstein static universe and [Formula: see text], and show that the exact multi-instanton solutions exist on these curved backgrounds.

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0007859

OSTI ID:: 1851017

Journal Information:: International Journal of Modern Physics A, Journal Name: International Journal of Modern Physics A Journal Issue: 17 Vol. 36; ISSN 0217-751X

Publisher:: World Scientific

Country of Publication:: United States

Language:: English

References (31)

Yang-Mills solutions on de Sitter space of any dimension Lechtenfeld, Olaf; Ünal, Gönül Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.085008	journal	October 2018
Classical solutions of SU ( 2 ) Yang—Mills theories Actor, Alfred Reviews of Modern Physics, Vol. 51, Issue 3 https://doi.org/10.1103/RevModPhys.51.461	journal	July 1979
Higgs branch localization in three dimensions Benini, Francesco; Peelaers, Wolfger Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)030	journal	May 2014
Octonionic superstring solitons Harvey, Jeffrey A.; Strominger, Andrew Physical Review Letters, Vol. 66, Issue 5 https://doi.org/10.1103/PhysRevLett.66.549	journal	February 1991
Yang-Mills instantons in closed Friedmann universes Verbin, Y. Physics Letters B, Vol. 223, Issue 3-4 https://doi.org/10.1016/0370-2693(89)91605-5	journal	June 1989
Seiberg-Witten Prepotential from Instanton Counting Nekrasov, Nikita A. Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5 https://doi.org/10.4310/ATMP.2003.v7.n5.a4	journal	January 2003
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops Pestun, Vasily Communications in Mathematical Physics, Vol. 313, Issue 1 https://doi.org/10.1007/s00220-012-1485-0	journal	May 2012
Thermal corrections to Rényi entropies for conformal field theories Herzog, Christopher P.; Nian, Jun Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)009	journal	June 2015
Gauge field configurations in curved space-times. IV. Self-dual SU(2) fields in multicenter spaces Boutaleb-Joutei, H.; Chakrabarti, A.; Comtet, A. Physical Review D, Vol. 21, Issue 8 https://doi.org/10.1103/PhysRevD.21.2280	journal	April 1980
Pseudoparticle solutions of the Yang-Mills equations Belavin, A. A.; Polyakov, A. M.; Schwartz, A. S. Physics Letters B, Vol. 59, Issue 1 https://doi.org/10.1016/0370-2693(75)90163-X	journal	October 1975
Spherically symmetric solutions of gauge theories in eight dimensions Fairlie, D. B.; Nuyts, J. Journal of Physics A: Mathematical and General, Vol. 17, Issue 14 https://doi.org/10.1088/0305-4470/17/14/030	journal	October 1984
Field theories on conformally related space-times: Some global considerations Candelas, P.; Dowker, J. S. Physical Review D, Vol. 19, Issue 10 https://doi.org/10.1103/PhysRevD.19.2902	journal	May 1979
Bogomolny-type equations in curved spacetime Comtet, A.; Forgács, P.; Horváthy, P. A. Physical Review D, Vol. 30, Issue 2 https://doi.org/10.1103/PhysRevD.30.468	journal	July 1984
Exact results in D = 2 supersymmetric gauge theories Doroud, Nima; Gomis, Jaume; Le Floch, Bruno Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)093	journal	May 2013
Gauge field configurations in curved space-times. III. Self-dual SU(2) fields in Eguchi-Hanson space Boutaleb-Joutei, H.; Chakrabarti, A.; Comtet, A. Physical Review D, Vol. 21, Issue 4 https://doi.org/10.1103/PhysRevD.21.979	journal	February 1980
Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory Witten, Edward Physical Review Letters, Vol. 38, Issue 3 https://doi.org/10.1103/PhysRevLett.38.121	journal	January 1977
Yang-Mills solutions on Euclidean Schwarzschild space Tekin, Bayram Physical Review D, Vol. 65, Issue 8 https://doi.org/10.1103/PhysRevD.65.084035	journal	April 2002
Form invariance, topological fluctuations and mass gap of Yang–Mills theory Qian, Yachao; Nian, Jun International Journal of Modern Physics A, Vol. 34, Issue 31 https://doi.org/10.1142/S0217751X19501884	journal	November 2019
Instantons in QCD Schäfer, T.; Shuryak, E. V. Reviews of Modern Physics, Vol. 70, Issue 2 https://doi.org/10.1103/RevModPhys.70.323	journal	April 1998
Hyperbolic Calorons, Monopoles, and Instantons Harland, Derek Communications in Mathematical Physics, Vol. 280, Issue 3 https://doi.org/10.1007/s00220-008-0471-z	journal	April 2008
Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces Ivanova, Tatiana A.; Lechtenfeld, Olaf; Popov, Alexander D. Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)017	journal	November 2017
Solutions to Yang-Mills Equations on Four-Dimensional de Sitter Space Ivanova, Tatiana A.; Lechtenfeld, Olaf; Popov, Alexander D. Physical Review Letters, Vol. 119, Issue 6 https://doi.org/10.1103/PhysRevLett.119.061601	journal	August 2017
Gravitational suppression of vacuum tunnelling in Yang-Mills theories Verbin, Y. Classical and Quantum Gravity, Vol. 7, Issue 4 https://doi.org/10.1088/0264-9381/7/4/002	journal	April 1990
Gauge field configurations in curved spacetimes. I Boutaleb-Joutei, H.; Chakrabarti, A.; Comtet, A. Physical Review D, Vol. 20, Issue 8 https://doi.org/10.1103/PhysRevD.20.1884	journal	October 1979
The octonionic instanton Fubini, S.; Nicolai, H. Physics Letters B, Vol. 155, Issue 5-6 https://doi.org/10.1016/0370-2693(85)91589-8	journal	June 1985
Self-dual solutions of Yang-Mills theory on Euclidean AdS space Sarıoğlu, Özgür; Tekin, Bayram Physical Review D, Vol. 79, Issue 10 https://doi.org/10.1103/PhysRevD.79.104024	journal	May 2009
Partition functions of 𝒩 = 1 gauge theories on S2 × ℝ𝜀2 and duality Kimura, Taro; Nian, Jun; Zhao, Peng International Journal of Modern Physics A, Vol. 35, Issue 33 https://doi.org/10.1142/S0217751X20502073	journal	November 2020
Gauge field configurations in curved space-times. V. Regularity constraints and quantized actions Boutaleb-Joutei, H.; Chakrabarti, A.; Comtet, A. Physical Review D, Vol. 21, Issue 8 https://doi.org/10.1103/PhysRevD.21.2285	journal	April 1980
A topological way of finding solutions to the Yang–Mills equation Nian, Jun; Qian, Yachao Communications in Theoretical Physics, Vol. 72, Issue 8 https://doi.org/10.1088/1572-9494/ab8a22	journal	July 2020
Partition Functions of $${\mathcal{N}=(2,2)}$$ N = ( 2 , 2 ) Gauge Theories on S 2 and Vortices Benini, Francesco; Cremonesi, Stefano Communications in Mathematical Physics, Vol. 334, Issue 3 https://doi.org/10.1007/s00220-014-2112-z	journal	July 2014
Gauge field configurations in curved spacetimes. II Boutaleb-Joutei, H.; Chakrabarti, A.; Comtet, A. Physical Review D, Vol. 20, Issue 8 https://doi.org/10.1103/PhysRevD.20.1898	journal	October 1979

Similar Records

Exact multi-instanton solutions to self-dual Yang–Mills equation on curved spaces

Journal Article · Mon Jun 14 20:00:00 EDT 2021 · International Journal of Modern Physics A · OSTI ID:1864512

Self-dual Yang-Mills fields in an Einstein universe

Journal Article · Mon Nov 30 23:00:00 EST 1992 · International Journal of Theoretical Physics; (United States) · OSTI ID:7018066

Techniques, exact and approximate, for solving the anti-self-dual Yang-Mills equations

Thesis/Dissertation · Sat Dec 31 23:00:00 EST 1988 · OSTI ID:5219322

Related Subjects

Physics

Exact multi-instanton solutions to self-dual Yang–Mills equation on curved spaces

Citation Formats

References (31)

Similar Records

Related Subjects