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Re: Instanton in Minkovsky space



I don't understand your question. A definition is a definition.
When you use a word, you must use it in accordance with its definition.
Otherwise you are talking gibberish. "Instanton" is a word that is only
defined for Euclidean spaces.
Your question is like: Why can't I have a vacuum that is full of
air?

The reference I gave is Weinberg's <The Quantum Theory of Fields>,
Chap. 23 (which is in Vol. 2).
Regards,
Jack
Adam was by constitution and proclivity a scientist; I was the same, and
we loved to call ourselves by that great name...Our first memorable
scientific discovery was the law that water and like fluids run downhill,
not up.
Mark Twain, <Extract from Eve's Autobiography>

On Thu, 13 Jul 2000, Qiang Lu wrote:

Hello Jack,



I want to know why "instanton" must be defined only in Euclidean

space of four dimension. Because of the condition of

gauge-invariant or Lorentz invariant? Could you tell me the

names of books or references.

Thanks.



Wednesday, July 12, 2000, 6:57:23 AM, you wrote:



Hi-

I don't quite understand the question, and I'm not an expert BUT

"instanton" is defined only in Euclidean space. In Yang-Mills you can

have an instanton if the time components of the potentials vanish, but

this would not seem to be a gauge-invariant quantity. See Weinberg's

books, chap 23.

Regards,

Jack



Adam was by constitution and proclivity a scientist; I was the same, and

we loved to call ourselves by that great name...Our first memorable

scientific discovery was the law that water and like fluids run downhill,

not up.

Mark Twain, <Extract from Eve's Autobiography>



On Tue, 11 Jul 2000, Qiang Lu wrote:



Hello phys-l,



I want to know if there is an instanton solution for Yang-Mills (or

self-dual Yang-Mills) field equation in Minkovsky space? The solution

may represent a real particle.

--



Best regards,



Qiang Lu



mailto:qianglu@eyou.com

Nankai University

Tianjin, 300071

P. R. China






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