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Tensor calculus (tensor analysis) is a systematic extension of vector calculus to multivector and tensor fields in a form that is independent of the choice of coordinates on the relevant manifold, but which accounts for respective sub-spaces, their symmetries, and their connections.
8
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Is the reduction of tensor loop integrals to scalar integrals using Passarino-Veltman Functi...
While reducing the tensor integrals to scalar integrals all that we use are Lorentz covariance and the physical interpretation of the result. Thus I think that the Pa-Ve Reduction of Tensor integrals …
1
vote
Is the reduction of tensor loop integrals to scalar integrals using Passarino-Veltman Functi...
I don't know if this is weird or not to answer one's own question but here it goes: the Passarino-Veltmann Decomposition aims at expressing the tensor loop integral using the Lorentz covariant quantit …
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votes
1
answer
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Connection and curvature using differential forms [duplicate]
I am trying to understand how one would use differential forms to calculate the components of the connection and the curvature tensor given a metric. Can anyone point me to relevant resources for the …