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Standard Model makes sense only after Renormalization

Thursday, July 24, 2008 0 comments

Round 1: Renormalization


What are the similarities and differences between String Theories and The Quantum Field Theories(epitomised by Standard Model) of the Particle Physics?. Which one is better in different aspects? Brace for a series of posts on this! Lets look at the procedure of Renormalization.

In Quantum Field Theories of which Standard Model is the epitome, behaviour of particles at very small distances of the order of particles it self - is not known. As I wrote earlier:-
"The equations Scientists write to describe the sub-atomic particles is in too dense a mathematics, even beyond a BS majoring in Mathematics. These equations in raw, strictly theoretical form, give infinite or nonsensical results or are unsolvable - capable of no result. Like too smart an Accountant fudging his books till clean looking figures are achieved, Scientists coax an answer out of these equations through largely empirical mathematical operations called renormalization.
For example the first theory that started the chain of Particle Physics, was Electro-Dynamics propounded by Dirac. While the equation was supposed to describe mechanics of electrons, one of the results showed the world to be filled with negative energy positrons.
This is obviously not the thing we observe in reality.
One of the justification for re-normalization is that the measured parameters of sub-atomic particles are the net observable values and intrinsic values are much different.
"
For detailed justification, please see my earlier post on this - 'A Tycoon Surrounded By A Bevy OF Expensive Bunnies'.
This is highly unsatisfactory way. But the Standard Model did give verifiable answers. The fact remains that this model cannot deal with phenomenon at small distances of space-time.
String Theory is a theory of phenomena at sub-particle distances. Such Renormalization is therefore not needed. Thus the String Theory wins over the Standard Model in explaining phenomena at such distances!!
And The First Round Goes To STRING THEORY!!!

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