Packet 5: Bonus 4

Kugo and Ujima demonstrated that the BRST formalism allows for a rigorous canonical quantization of these theories. For 10 points each:
[10m] Name these non-abelian gauge theories that study compact Lie (“lee”) groups like the special unitary groups. An open problem asks whether these theories exist in four-dimensional space with a positive mass gap.
ANSWER: Yang–Mills theory
[10h] BRST quantization of Yang–Mills theory provides a well-founded mathematical basis for these fields. These fields introduce additional states during regularization to preserve gauge invariance.
ANSWER: ghosts [or ghost fields or ghost particles or gauge ghosts; accept Faddeev–Popov ghosts]
[10e] BRST quantization is insufficient for quantum field theories that incorporate this phenomenon, the weakest fundamental force.
ANSWER: gravity [or gravitational force]
<Editors, Physics> | N. Playoffs 5 (Editors 5)

HeardPPBE %M %H %
2417.92100%67%13%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
British ColumbiaUCLA001010E
BrownNorth Carolina1001020ME
BruinGeorgia Tech B1001020ME
Chicago AIndiana10101030MHE
Columbia AVirginia Tech001010E
Columbia BGeorgia Tech A10101030MHE
Illinois ACambridge1001020ME
Illinois BCornell1001020ME
MITWashU1001020ME
Maryland BChicago B001010E
MichiganNYU B1001020ME
Northwestern AMaryland A1001020ME
Ohio StateStanford B001010E
Penn StateRutgers1001020ME
PittsburghGeorgia Tech C1001020ME
Stanford AToronto A1001020ME
SwarthmoreNorthwestern B1001020ME
Toronto BMinnesota001010E
UC Berkeley ANYU A10101030MHE
UC Berkeley BHarvard001010E
UCFPurdue1001020ME
VanderbiltTexas001010E
VirginiaJohns Hopkins001010E
WaterlooGeorgetown1001020ME

Summary

TournamentEditionMatchHeardPPBE %M %H %
Main Site2026-04-17✓2417.92100%67%13%