TAILIEUCHUNG - The Philosophy of Vacuum Part 23

The Philosophy of Vacuum Part 23. Physicists will find it extremely interesting, covering, as it does, technical subjects in an accessible way. For those with the necessary expertise, this book will provide an illuminating and authoritative exposition of a many-sided subject." -John D. Barrow, Times Literary Supplement. | Making Everything Out of Nothing 213 10 The Gauge Field as Geometry Another Point of View The Kaluza-Klein idea is one attempt to give a geometrical interpretation to the gauge fields. But if we reject Kaluza-Klein there is still a geometrical option open to us. We can note that the gauge fields form a connection T A on the fibre bundle whose base space is four-dimensional space-time and whose typical fibre is the internal space of the quantum fields. This can also be regarded as a geometrical interpretation of the gauge fields. In going from Newtonian mechanics to general relativity we go from a three-dimensional spatial geometry to a four-dimensional space-time geometry in which gravity is the metric curvature of that geometry. Similarly the unified gauge interaction field strength is the curvature of the connection of an expanded geometry of which fourdimensional space-time is just a component. If you like you can regard calling this geometry an extension of the notion of geometry . But it is a natural extension because of the structural or formal similarity to what we already call geometry. However I want to make two remarks about this extension. The first brings us back to the subject of monopoles the second is that there is more to the view that the gauge field is geometry than that it can be given a certain mathematical formulation. First concerning the idea of the gauge field as part of the geometry some have thought that there is much more to it than I have indicated above. That is they have thought that ontologically the internal space directions are somehow on a par with the four dimensions of spacetime. As a case in point the t Hooft Polyakov monopole has been offered as an example of how this is to be understood. This monopole is a composite field configuration built out of a SU 2 gauge field and a triplet of scalar fields. Of relevance to our present discussion the asymptotic structure of the scalar fields is of the form hxa ---- r x1 2 x2 2 x3 2 1 2.

TỪ KHÓA LIÊN QUAN
TAILIEUCHUNG - Chia sẻ tài liệu không giới hạn
Địa chỉ : 444 Hoang Hoa Tham, Hanoi, Viet Nam
Website : tailieuchung.com
Email : tailieuchung20@gmail.com
Tailieuchung.com là thư viện tài liệu trực tuyến, nơi chia sẽ trao đổi hàng triệu tài liệu như luận văn đồ án, sách, giáo trình, đề thi.
Chúng tôi không chịu trách nhiệm liên quan đến các vấn đề bản quyền nội dung tài liệu được thành viên tự nguyện đăng tải lên, nếu phát hiện thấy tài liệu xấu hoặc tài liệu có bản quyền xin hãy email cho chúng tôi.
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.