报告题目：Integral identities and universal relations for solitons
主 讲 人：Christoph Adam 教授
单 位：西班牙圣地亚哥德孔波斯特拉大学
时 间：2024年5月22日 17：00
Zoom号：210 089 8623
密 码：123456
摘 要：We show that any nonlinear field theory giving rise to static solutions with finite energy like, e.g., topological solitons, allows us to derive a continuous infinity of integral identities which any such solution has to obey. These integral identities can always be understood as being generated by field transformations and their related Noether currents. Further, we consider applications of these identities to a broad class of nonlinear scalar theories, including the Skyrme model. More concretely, we find nontrivial integral identities that can be seen as model-independent relations between certain physical properties of the solitons in such theories, and we comment on the possible connection between these new relations and those already found in the context of astrophysical compact objects. We also demonstrate the usefulness of said identities to estimate the precision of the numerical calculation of soliton observables.
简 介：Christoph Adam is a professor at Santiago de Compostela University, Spain. Adam received his PhD from Vienna University, Austria, in 1993 and has been a postdoc at Bern University, Switzerland, at Montpellier University, France, at Jena University, Germany, Massachusetts Institute of Technology (MIT), USA, at Trinity College, Dublin, UK. Adam has then been a lecturer at Karlruhe University, Germany, Vienna University, Austria, before becoming a professor at Santiago de Compostela University, Spain. Adam is an expert on solitons, Skyrmions, nuclear physics and the BPS-Skyrme model as well as neutron stars. Adam has published over 125 papers in JHEP, Phys.Rev.Lett., Phys.Rev.D, Phys.Rev.E, Phys.Rev.C, JCAP, Phys.Lett.B, J.Math.Phys., J.Phys.A, Eur.Phys.J.C, Annals Phys., Symmetry, Int.J.Mod.Phys.A, Int.J.Mod.Phys.E, Gen.Rel.Grav., SIGMA, Bulg.J.Phys., Mod.Phys.Lett.A, Czech.J.Phys., Z.Phys.C, Riv.Nuovo Cim. with over 3100 citations.
