Question
Answer the following about Jean Écalle (“ay-KAHL”)’s theory of resurgent functions, for 10 points each.
[10m] Resurgent functions may solve the divergence of this method in QFT due to factorial growth of the number of terms outpacing exponential decay of coefficients. In quantum mechanics, one form of this method requires rediagonalizing the Hamiltonian in a degenerate subspace.
ANSWER: perturbation theory [or degenerate perturbation theory]
[10h] Specifically, resurgence theory shows that this process can be applied to a divergent perturbative series in a consistent manner. Applying this process can produce singularities in a namesake plane called renormalons.
ANSWER: Borel summation [accept Borel transformation]
[10e] Resurgence theory is particularly useful for asymptotically free theories that are typically impossible to analyze perturbatively, such as this field theory that describes the strong force.
ANSWER: QCD [or quantum chromodynamics]
<Fine, Physics>
Summary
| 2024 ESPN @ Brown | 04/06/2024 | Y | 3 | 6.67 | 67% | 0% | 0% |
| 2024 ESPN @ Cambridge | 04/06/2024 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2024 ESPN @ Chicago | 03/23/2024 | Y | 6 | 10.00 | 67% | 33% | 0% |
| 2024 ESPN @ Columbia | 03/23/2024 | Y | 6 | 11.67 | 100% | 17% | 0% |
| 2024 ESPN @ Duke | 03/23/2024 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2024 ESPN @ Online | 06/01/2024 | Y | 3 | 13.33 | 100% | 33% | 0% |
| 2024 ESPN @ Stanford | 03/09/2024 | N | 2 | 10.00 | 100% | 0% | 0% |
Data
| Jeffrey and Dahmers | Clark A | 0 | 0 | 0 | 0 |
| Labour's Lost Lovers | Jason Lovers | 0 | 0 | 10 | 10 |
| Triple Round Robin Lovers | Clark B | 0 | 0 | 10 | 10 |
| A VK a Day Keeps the Doctor Away | You, Me and the Big G | 0 | 0 | 10 | 10 |
| Heat-Oppressed Brains | Eugene o'Negging | 10 | 0 | 10 | 20 |
| Chicago A Minus Minus | 2 days into college and I'm 3 lectures behind | 10 | 0 | 10 | 20 |
| JinAh and Jordan from Wikiquiz | protobowling for soup | 0 | 0 | 10 | 10 |
| JJaryland | NJ TRANSit (and bobby i guess) | 0 | 0 | 10 | 10 |
| Let's Fighting Love | Sandmännchen im Helikopter | 10 | 0 | 10 | 20 |
| Naocissus and Geoldmond by Hermandrew Hesse | The Aum-Wein Drinchard by Amogh Tutuola | 0 | 0 | 10 | 10 |
| boy's jitches (ft. DMA) | chamPAIN and cornHELL in Columbia | 0 | 0 | 10 | 10 |
| bruh | 1.g4 Test Mixture | 0 | 0 | 10 | 10 |
| Chicago B | malcolm in the middlemarch (Purdue 1) | 0 | 0 | 0 | 0 |
| Noli Me Tangerine | Michigan | 10 | 0 | 10 | 20 |
| purdoobie brothers | Oh the Missouri | 0 | 0 | 0 | 0 |
| >:3 | Charlotte Mewing to get that chiseled farmer’s bride jawline | 0 | 0 | 10 | 10 |
| Houston Junior College | The Present King of James is Bald | 0 | 0 | 10 | 10 |
| Riley et al. | Cleo: 5/7 movie | 10 | 0 | 10 | 20 |
| Williams et al. | World's Fair Wiggle Walk | 0 | 0 | 10 | 10 |
| UNC A | Duke | 10 | 0 | 10 | 20 |
| UNC Hunny | UNC B | 0 | 0 | 10 | 10 |
| Nobodaddy but you | BHSU | 0 | 0 | 10 | 10 |