How Did Quantum Field Theory and Renormalization Address Infinities in Physics?

[crisis]

Hi all,

I'm an amateur with some knowledge on the surface and actually am trying to make sense of the history of QM evolution and try to put things in place by trying to understand their 'raison d'être, at the time.
So I'm back in:
1. 1926-28 with the question: how the introduction of Quantum Field solve the problem of QM and relativity with regard to simultaneously.

2. and 20 years later, at Shelter Island, with renormalization-I cannot understand it...how come does the 'forced' introduction of mass and charge resolve the problem of infinity in a satisfying manner?

Any input, links, advise will be highly appreciated,

Cheers

 

[A. Neumaier]

with renormalization-I cannot understand it...how come does the 'forced' introduction of mass and charge resolve the problem of infinity in a satisfying manner?

See Chapter B5 ''Divergences and renormalization'' of my theoretical physics FAQ at http://arnold-neumaier.at/physfaq/physics-faq.html#B5