Re: Renormalization

From: Igor Khavkine (igor.kh_at_gmail.com)
Date: 03/16/05 

Date: Wed, 16 Mar 2005 08:05:04 +0000 (UTC)

On Mon, 14 Mar 2005 07:12:35 +0000, Eugene Stefanovich wrote:
> Chris Oakley wrote:

>> I take the (minority) view that this is not possible. Even when one is
>> using approximations, one can use mathematics to determine the extent of
>> their validity. But when one starts to deal in quantities that are,
>> quite simply, meaningless, then the whole edifice collapses. Infinity
>> minus infinity is indeterminate. That is all one needs to know.
>>
>>
> I tend to agree with you, and I offer a solution: forget about the
> quantization + renormalization + dressing nightmare and "infinity minus
> infinity" tricks involved there. Just take the RQD dressed particle
> Hamiltonian as a starting point for doing physics.

The frequency of your self promotion is reaching levels where you may
have to start adding the AD: tag to your posts' subjects.

> (I have a few low order
> terms of this Hamiltonian presented in the book; if you give me some time
> I'll derive higher order terms that should be more than enough to do
> practical calculations). With this Hamiltonian you'll never meet divergent
> loop integrals, there is no need for regularization, renormalization, and
> "infinity minus infinity" subtractions. As long as you don't ask me where
> I got this Hamiltonian, your sense of mathematical purity will not be
> offended.

Your proposal does not alleviate any of the problems you want to fix.
All the "nightmare" that you so dislike cannot be avoided. You simply
become the only one who has to deal with it.

Igor

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