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Tên báo cáoS-matrix Unitarity and Renormalizability
Người trình bàyGS. Keisuke Izumi
Cơ quanNagoya University, Japan
NgàyThứ Ba, 17-09-2019
Giờ10:00 AM
Địa điểmPhòng 62, Tầng 6, Nhà 2H, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội
Tóm tắtWe investigate the relation between the S-matrix unitarity and the renormalizability. The relation has been confirmed in many theories, such as gauge theories, Einstein gravity by analyzing the unitarity bound, which follows from the S-matrix unitarity and the norm positivity. We firstly show that the relation holds in Lifshitz-type non-relativistic theories. On the other hand, renormalizable theories with a higher derivative kinetic term do not necessarily satisfy the unitarity bound essentially because of the negative norm states. In these theories, it is not clear if the S-matrix unitarity provides a nontrivial constraint related to the renormalizability. To verify that the norm positivity is irrelevant to the relation between the S-matrix unitarity and the renormalizability, we analyze not the unitarity bound but the S-matrix unitarity itself in scalar field models with a higher derivative kinetic term.
Người chủ trìHoàng Ngọc Long