Re: Definition of A Field

From: Bjoern Feuerbacher (feuerbac_at_thphys.uni-heidelberg.de)
Date: 11/09/04 

Date: Tue, 09 Nov 2004 12:36:54 +0100

kenseto wrote:
> "Bilge" <dubious@radioactivex.lebesque-al.net> wrote in message
> news:slrncoul62.17d.dubious@radioactivex.lebesque-al.net...
>
>>kenseto:
>> >In his book "Dreams of A Final Theory" (page 25) Steven Weinberg define
>
> a
>
>> >field as follows:
>> >"A field like an electric or magnetic field is a sort of stress in
>
> space,
>
>> >something like the various sorts of stress that are possible within a
>
> solid
>
>> >body, but a field is a stress in space itself.".
>> >
>>
>> From ``Quantum Fields and Strings'':
>>
>> Field: Some local data on spacetime. In classical theory, a
>>typical example is a section of a fiber bundle over spacetime.
>>In quantum theory, an example of a field is an operator valued
>>distribution on spacetime, or more generally, a linear map of
>>from the space of smooth sections of some vector bundle over
>>spacetime to operators. For example, the electromagnetic field
>>strength tensor is an operator-valued 2-form, F_uv.
>
>
> These are just mathematical way of saying that a field is a stress in
> physical space.

No, they aren't. The above has nothing at all to do with "a stress in
sapce".

> So Weinberg's definition of a field is correct.

What you quoted was not a definition, but a *simplified* *description*
for *laymen*.

Bye,
Bjoern

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