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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 votes
1 answer
721 views

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 …
Abhishek Pal's user avatar
2 votes
1 answer
802 views

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 …
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 …
Abhishek Pal's user avatar