Nội dung được dịch bởi AI, chỉ mang tính chất tham khảo
Sự xuất hiện của các chân trời lỗ đen theo quy mô loài
Tóm tắt
Quy mô mà trọng lực lượng tử trở nên rõ ràng, quy mô loài Λs, gần đây đã được lập luận rằng có thể nhận giá trị thấp hơn nhiều so với quy mô Planck. Chúng tôi sử dụng các lỗ đen có diện tích chân trời bằng không (lỗ đen nhỏ) trong các lý thuyết trường hiệu quả được kết hợp với trọng lực lượng tử để làm rõ cách mà ba biểu hiện vật lý khác nhau của quy mô loài Λs có mối liên hệ với nhau. (i) Gần lõi lỗ đen nhỏ, một trường vô hướng chạy tới khoảng cách vô hạn trong không gian moduli, một chế độ mà Đoán Khoảng Cách Swampland dự đoán một dãy các trạng thái nhẹ một cách xuất hình, làm giảm Λs. (ii) Chúng tôi tích hợp các chế độ trong dãy và tạo ra thông qua hiện tượng Xuất hiện một tập hợp các hiệu chỉnh đạo hàm cao hơn, cho thấy rằng Λs là quy mô mà các thuật ngữ như vậy trở nên có liên quan. (iii) Cuối cùng, các thuật ngữ đạo hàm cao hơn sửa đổi nghiệm lỗ đen và cấp cho nó một chân trời kéo dài có kích thước không bằng không, bằng quy mô loài với bán kính $$ {\Lambda}_s^{-1} $$, thể hiện quy mô loài như kích thước của lỗ đen nhỏ nhất có thể mô tả trong lý thuyết hiệu quả. Chúng tôi trình bày các ví dụ cụ thể trong không gian 4 chiều của các lỗ đen nhỏ trong lý thuyết siêu trọng lực 4 chiều $$ \mathcal{N} = 2 $$, và ví dụ 10 chiều của các brane D0 loại IIA. Sự xuất hiện của chân trời quy mô loài cho các brane D0 đòi hỏi một sự tương tác không tầm thường của các thuật ngữ đạo hàm 8 khác nhau trong lý thuyết loại IIA và lý thuyết M, cung cấp một kiểm tra không tầm thường cho mô tả thống nhất của chúng tôi về các hiện tượng khác nhau liên quan đến quy mô loài.
Từ khóa
#trọng lực lượng tử #quy mô loài #lỗ đen #lý thuyết trường hiệu quả #hiệu chỉnh đạo hàm cao #Đoán Khoảng Cách SwamplandTài liệu tham khảo
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