Constrained instanton approximation of Skyrmions with massive pions
We present the idea of using the holonomy along a line of a constrained instanton solution (an approximate solution of the Euclidean equations of motion subject to a constraint) of an SU(2) Yang-Mills-Higgs theory to approximate the Skyrmion solution in a chiral model with massive pions. The fact th...
| প্রধান লেখক: | |
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| বিন্যাস: | প্রবন্ধ |
| ভাষা: | English |
| প্রকাশিত: |
Elsevier
2022-12-01
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| মালা: | Physics Letters B |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | http://www.sciencedirect.com/science/article/pii/S0370269322006669 |
| সংক্ষিপ্ত: | We present the idea of using the holonomy along a line of a constrained instanton solution (an approximate solution of the Euclidean equations of motion subject to a constraint) of an SU(2) Yang-Mills-Higgs theory to approximate the Skyrmion solution in a chiral model with massive pions. The fact that the gauge field acquires a nonzero mass due to the Higgs mechanism implies that a constrained instanton decays exponentially far from its center, and so does the Skyrmion configuration that it generates via the Atiyah-Manton construction. This is precisely the desired behavior at large distances for the true Skyrmion solutions when the pion mass is included. |
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| আইএসএসএন: | 0370-2693 |