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Mass gap in YangMills theories 
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#55
Nov1804, 04:25 PM

Emeritus
PF Gold
P: 8,147

Kea, the trouble with all your references is that nobody who doesn't have a graduate university library can see them. Isam's stuff is online at the arxive; is any of the rest of it. Anything at the level of Joyce?



#56
Nov1804, 05:12 PM

P: 859

Unfortunately, no.
Online books on topos theory include Barr and Wells and Goldblatt. John Baez's website is a good source of references. Sorry everybody. 


#57
Nov1804, 05:21 PM

P: 859



#58
Nov1804, 06:34 PM

Astronomy
Sci Advisor
PF Gold
P: 23,114

http://arxiv.org/find/hepth/1/au:+J.../0/1/0/all/0/1 hepth/0307047 Quark confinement without a confining force P.S. Isaac, W.P. Joyce, J. Links 5 pages hepth/0307046 An algebraic origin for quark confinement P.S. Isaac, W.P. Joyce, J. Links 23 pages hepth/0306256 Quark State Confinement as a Consequence of the Extension of the BoseFermi Recoupling to SU(3) Colour W. P. Joyce 15 pages, 4 figures this list gives not only the one which Kea cited but also two others which are more recentnot yet in hardcopy I have not examined these papers personally, but only helping as an assistant librarian (I think I would not understand the papers in any case, or grasp their applicability) regards to all * 


#59
Nov1804, 06:50 PM

P: 859



#60
Nov1804, 11:05 PM

Emeritus
PF Gold
P: 8,147

Thank you both Kea and Marcus. I will start looking at these tomorrow. I also just found out about Google Scholar (www.scholar.google.com). I typed in topos quantization and got some very interesting results. There's hope for the old presheaf guy yet.



#61
Apr1805, 01:30 AM

Sci Advisor
PF Gold
P: 9,377

Is there actually any missing mass? I don't think so. YangMills suggests a slight CPT violation, but no missing energy [mass] that I can see. No matter how much you twist and turn space time around, mass does not go away. The observational evidence for its existence is fairly solid.



#62
Apr1805, 12:11 PM

P: 631




#63
Aug2210, 12:06 PM

P: 34

You can find a simple definition of mass gap on Wikipedia. A YangMills theory, in the limit of the coupling gauge going to infinity, displays at the classical level a mass gap. This because there is a theorem proved in
http://arxiv.org/abs/0709.2042 (appeared in Physics Letters B) http://arxiv.org/abs/0903.2357 (appeared in Modern Physics Letters A) that maps classical solutions of a massless quartic scalar field on the YangMills field. These solutions appear to describe free massive fields notwithstanding we started from massless theories. One can use these solutions to build a quantum field theory and obtain an identical situation once is proved that quantum corrections do not modify it. 


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