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| Tags: anomalies, gauge |
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#1
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On 1 Dec 2003, Thomas Larsson wrote on sci.physics.research:
You have repeatedly declared that you hate new and advanced mathematics, such as groupoids, category theory, etc. That's right. I don't like them - just like other physicists (try to ask Nima Arkani-Hamed what he thinks about the groupoids!) :-) - because there is almost no contents in these things. It's just a fancy language to describe very simple ideas, and it is undefendable and sort of arrogant to call these mathematical constructs "advanced mathematics". There is nothing advanced about them except for the advanced level of emptiness. As I have explained to you before, this cocycle has even been considered in string theory; many string theorists have a different attitude towards advanced math than you have. You know, we are using cocycles at various places in CFT. But the generic type of a cocycle is just a concept searching for an application which probably does not exist, and all attempts to show the converse have so far been unsuccessful. The reason that it has not appeared in physics is of course that most physicists don't know about it. No, the true reason is that there is no physically interesting content in these constructions; it is not because the physicists are dumb. Thus the Kassel cocycle is non-zero for the standard model. So it cannot be an anomaly, or else the standard model is anomalous. That's right. It's certainly not anomaly in 4 dimensions. In 2 dimensions, anomalies are "diangles" instead of "triangles" - for example conformal anomaly - but in that case it is also possible to have negative contributions to the anomaly. In two dimensions, you can also have the opposite sign of contributions from the left-movers and the right-movers: while the two chiralities are related by complex conjugation in 3+1 dimensions (because of the CPT theorem), they are independent in 1+1 dimensions. __________________________________________________ ____________________________ E-mail: fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/ phone: work: +1-617/496-8199 home: +1-617/868-4487 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Superstring/M-theory is the language in which God wrote the world. |
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#2
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Lubos Motl wrote:
On 1 Dec 2003, Thomas Larsson wrote on sci.physics.research: You have repeatedly declared that you hate new and advanced mathematics, such as groupoids, category theory, etc. That's right. I don't like them - just like other physicists (try to ask Nima Arkani-Hamed what he thinks about the groupoids!) :-) - because there is almost no contents in these things. And they teach this frame of mind at Harvard? Well, it's probably too much to expect there to be more than one Princeton in the Ivy League. The sci.physics.research moderators must be finally cracking down. The reply's been demoted to sci.physics, going by what line #2 says. |
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#3
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Lubos Motl wrote in message ...
Superstring/M-theory is the language in which God wrote the world. Lubos, I am interested in how infomration can be translated to us from what is presently existing in the bulk. With this in mind, it was important to understand events in the early universe having allowed this information to depart from its source in gravity waves, and to be picked up by us now? LIGO I II, Having said this, I looked at orbitals configurations and cosmological events as in the Bose Nova jets(its dynamics of negative energy), and was amazed to think of the ability of this shape to be translated in the dynamics of its movement and to be reconstructed somewhwere else, like earth now. The problem then is I see is that the orbital and cosmological events, seem to have some relationship by appearance(?) that saw the very large(GR) connected to the very smallQM. This has been discounted(?) and I just wanted to know what you think. Sol |
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