#### (The) relationship between the riemannian curvature and the gauge invariance

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The conventional Lagrangian density with the minimal coupling between the spinor fields and the non-Abelian gauge fields in a Minkowskian space is transformed to that in the Riemannian space by the concept of geodesic corrdinates with a point at infinity as a pole. In this works the effect of the gauge invariance of the Lagrangian density on the geometry is examined. That is, if we identify $R_{αβγδ}$ with k $J_{αβγδ}$ from the similarity of their tensorial characters and assume the space and the spinor fields to satisfy $\frac{δj^α_k}{δs}=0$ for all k than the space of the spinor fields results in a recurrent space. Also the cases of the strong interactions the weak interactions and the electromagnetic interactions are discussed. Especially for the electromagnetic interaction the space is reduced to a Minkowskian space, which agrees with the fact that the quantum electrodynamics works well in a Minkowskian space.
Cho, Byung-Ha조병하
Description
한국과학기술원 : 물리학과,
Publisher
한국과학기술원
Issue Date
1978
Identifier
62243/325007 / 000761101
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 물리학과, 1978.2, [ [ii], 58 p.]

URI
http://hdl.handle.net/10203/47920