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A meron or half-instanton is a Euclidean space-time
solution Solution may refer to: * Solution (chemistry), a mixture where one substance is dissolved in another * Solution (equation), in mathematics ** Numerical solution, in numerical analysis, approximate solutions within specified error bounds * Soluti ...
of the Yang–Mills field equations. It is a singular non-self-dual solution of topological charge 1/2. The
instanton An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. Mo ...
is believed to be composed of two merons. A meron can be viewed as a tunneling event between two Gribov vacua. In that picture, the meron is an event which starts from vacuum, then a
Wu–Yang monopole The Wu–Yang monopole was the first solution (found in 1968 by Tai Tsun Wu and Chen Ning YangWu, T.T. and Yang, C.N. (1968) in ''Properties of Matter Under Unusual Conditions'', edited by H. Mark and S. Fernbach (Interscience, New York)) to the ...
emerges, which then disappears again to leave the vacuum in another Gribov copy.


See also

*
BPST instanton In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and Yu. S. Tyupkin. It is a classical solution to the equations of motion of SU(2) Yang–Mills the ...
*
Dyon In physics, a dyon is a hypothetical particle in 4-dimensional theories with both electric and magnetic charges. A dyon with a zero electric charge is usually referred to as a magnetic monopole. Many grand unified theories predict the existence of ...
*
Instanton An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. Mo ...
* Monopole


References

* ''Gauge Fields, Classification and Equations of Motion'',
Moshe Carmeli Moshe Carmeli ( he, משה כרמלי, links=no, 1933–2007) was the Albert Einstein Professor of Theoretical Physics, Ben Gurion University (BGU), Beer Sheva, Israel and President of the Israel Physical Society. He received his Doctor of ...
, Kh. Huleilil and Elhanan Leibowitz,
World Scientific Publishing World Scientific Publishing is an academic publisher of scientific, technical, and medical books and journals headquartered in Singapore. The company was founded in 1981. It publishes about 600 books annually, along with 135 journals in various f ...
Gauge theories Quantum chromodynamics {{quantum-stub