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| bio | website | physics.uwa.edu.au/~styler |
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| location | Melbourne, Australia | |
| age | 32 | |
| visits | member for | 2 years, 6 months |
| seen | May 17 at 7:27 | |
| stats | profile views | 333 |
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Mar 8 |
awarded | Popular Question |
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Jan 13 |
comment |
Multi-loop beta function of gauge theory (*without* Feynman diagrams) continued... most people just use diagrams at higher loops, since it is convenient. The only non-diagram notation that comes close to being as convenient is a condensed DeWitt notation. You can then write down functional expressions for higher loop diagrams in a sensible way. For example, see the discussion in Operator Regularization And Multiloop Green's Functions, (the first part of) this paper might be a good place for you to start... |
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Jan 13 |
comment |
Multi-loop beta function of gauge theory (*without* Feynman diagrams) I said it can be, but the mere fact that we're still using perturbation theory and breaking things down to propagators and interactions means that diagrams are just too natural to ignore. One-loop calculations are the exception here since the only interactions are with the background fields, thus included in the propagators and the functional determinant. Ritus uses functional approaches before pointing out the diagrammatic interpretation. |
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Jan 8 |
revised |
Multi-loop beta function of gauge theory (*without* Feynman diagrams) added a ref, fixed typos |
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Dec 23 |
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Multi-loop beta function of gauge theory (*without* Feynman diagrams) I've posted an answer - but it's not very well constructed. But I guess the question was also not very specific and I definitely have a lack of time and too many mental cobwebs. |
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Dec 23 |
answered | Multi-loop beta function of gauge theory (*without* Feynman diagrams) |
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Dec 20 |
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Superfields and the Inconsistency of regularization by dimensional reduction Thanks for the bounty @Raindrop, it would be a nice xmas present if someone answers this question! |
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Dec 9 |
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Multi-loop beta function of gauge theory (*without* Feynman diagrams) The way to make this more rigorous is through the background field method. Using this, one can see how the assumption of a constant field and gauge choice affects the calculation. However, Feynman diagrams are still a natural way to organise the higher-loop calculations. There are fewer diagrams, but the background dependent propagator is more complicated. The standard intro is that by Abbott [1] [2]. I hope that helps (that you didn't already know it) and that someone can write a proper answer for you soon! |
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Dec 5 |
awarded | Constituent |
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Nov 27 |
awarded | Caucus |
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Nov 15 |
awarded | Yearling |
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Nov 2 |
awarded | Good Question |
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Sep 6 |
awarded | Popular Question |
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Jun 13 |
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Superfields and the Inconsistency of regularization by dimensional reduction @Argus: As in you wish to change the question from "how do you prove this using superfields" to "why can you only prove it using components?" |
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Jun 10 |
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Superfields and the Inconsistency of regularization by dimensional reduction @Argus: Wow, thanks! Although I have to warn you, the previous bounty did not draw out any answers... |
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Jun 8 |
awarded | Constituent |
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Jun 8 |
awarded | Caucus |
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May 4 |
awarded | Nice Question |
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Apr 12 |
awarded | Benefactor |
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Apr 12 |
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What are the limitations of the superspace formalism? And as @Ron says, the reason why it is so difficult to construct such formulations is an open research-level question. If the reason was known, then we'd either have a workable N=4 superspace formulation or a no-go theorem by now... |
