Gauge Theory Without Principal Fiber Bundles.

In general relativity, the strong equivalence principle is underpinned by a geometrical account of fields on spacetime, by which all fields and bodies probe the same geometry. This geometric account implies that the parallel transport of all spacetime tensors and spinors is dictated by a single affi...

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Publicado en:Philosophy of Science Vol. 92; no. 3; pp. 511 - 528
Autor principal: Gomes, Henrique
Formato: Artículo
Publicado: Cambridge University Press Jul2025
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Acceso en línea:Ver este registro en EBSCOhost
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        au: Gomes, Henrique
        affil: Oriel College, University of Oxford, UK
      su:
        Gauge field theory
        General relativity (Physics)
        Tensor fields
        Vector bundles
        Particle interactions
        Equivalence principle (Physics)
        Geometric connections
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          Gauge field theory
          General relativity (Physics)
          Tensor fields
          Vector bundles
          Particle interactions
          Equivalence principle (Physics)
          Geometric connections
      ab: In general relativity, the strong equivalence principle is underpinned by a geometrical account of fields on spacetime, by which all fields and bodies probe the same geometry. This geometric account implies that the parallel transport of all spacetime tensors and spinors is dictated by a single affine connection. No similar account of gauge theory is put forward by standard textbooks, which use principal bundles to coordinate the parallel transport of different, interacting particles. Nonetheless, here I argue that gauge theory does afford such a geometric account, obviating the need for principal bundles.
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    language: English
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