Cú, liên kết và ma thuật tầm xa

Journal of High Energy Physics - Tập 2021 - Trang 1-33 - 2021
Jackson R. Fliss1
1Institute of Physics, University of Amsterdam, Amsterdam, The Netherlands

Tóm tắt

Chúng tôi nghiên cứu mức độ mà các trạng thái cú và liên kết (tức là, các trạng thái trong lý thuyết Chern-Simons 3D được chuẩn bị bằng tích phân theo đường đi trên các bổ sung cú và liên kết) có thể hoặc không thể được mô tả bằng các trạng thái ổn định. Các trạng thái không phải là hỗn hợp cổ điển của các trạng thái ổn định được gọi là "trạng thái ma thuật" và đóng một vai trò quan trọng trong lý thuyết tài nguyên lượng tử. Bằng cách thực hiện một công cụ ma thuật cụ thể được gọi là "mana", chúng tôi định lượng ma thuật của các trạng thái cú và liên kết. Cụ thể, đối với lý thuyết Chern-Simons SU(2)k, chúng tôi chỉ ra rằng các trạng thái cú và liên kết về cơ bản là ma thuật. Đối với các trạng thái liên kết, chúng tôi tiếp tục nghiên cứu mana liên quan đến các tương quan giữa các ranh giới riêng biệt, điều này đặc trưng cho ma thuật tầm xa của trạng thái. Các kết quả số của chúng tôi gợi ý rằng ma thuật của phần lớn các trạng thái liên kết hoàn toàn là tầm xa. Chúng tôi làm rõ hơn những phát biểu này cho các liên kết hình torus.

Từ khóa

#trạng thái ma thuật #lý thuyết Chern-Simons #ma thuật tầm xa #các trạng thái ổn định #tích phân đường đi

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