Question

This result is reversed for non-physical fields whose contributions to virtual processes ensure a unitary theory, called ghost fields. This result takes its usual form in 3 + 1 (“three-plus-one”) dimensions because world lines cannot form knots, making the braid group just the symmetric group; however, (-5[1])the nontrivial braid group in 2 + 1 (“two-plus-one”) dimensions (10[1])causes this result to take a different form obeyed by anyons (10[1])(“ANY-onz”). Proofs of this result require (-5[1])relativistic quantum field theory, (10[1])but topological (10[1])intuition for it is seen in the belt trick, (-5[1])in which a four pi (10[1])rotation returns the belt (10[1]-5[1])to its original state. Per this result, the exchange operator leaves wave functions of one (10[1])class of particles (10[1])unchanged, (-5[2])while wave (10[1])functions of another class of particles pick up a minus (-5[1])sign under exchange. (10[1])For 10 points, name this theorem that states that half-integer spin particles obey the Fermi (-5[2])(“FAIR-mee”)–Dirac (“dih-RACK”) distribution (-5[1])and integer spin particles obey the Bose (10[1])(“boze”)–Einstein distribution. (10[1])■END■ (10[4]0[6])

ANSWER: spin–statistics theorem [or spin–statistics relation or spin–statistics connection or spin–statistics correlation]
<Physics>
= Average correct buzz position

Summary

2023 ACF Nationals04/22/2023Y2467%0%42%113.50

Buzzes

PlayerTeamOpponentBuzz PositionValue
Swapnil GargUC Berkeley AMIT A44-5
Alex AkridgeIndiana ANorthwestern A5310
Vivek SasseChicago BBrown A6410
David BassVirginia AGeorgia Tech B69-5
Vincent DuNorth Carolina ACornell B7310
Matthew SiffYale BWUSTL B7510
Karan GurazadaTexas AHarvard A84-5
Adam FineChicago AYale A8910
Maximillian NieburJohns Hopkins AMinnesota B93-5
Kevin YeUC Berkeley BPurdue A9310
JD KrothIowa State AIllinois A10810
Matthew LehmannWUSTL AOhio State A11110
Leo LawFlorida AStanford A112-5
Arya KarthikGeorgia Tech ACornell A112-5
Geoffrey WuColumbia AToronto A11410
Shardul RaoMinnesota AChicago C124-5
Forrest WeintraubColumbia BNYU A12710
Vishal KanigicherlaPenn APenn State A142-5
Carlos DoebeliImperial AMichigan A142-5
Aidan FeinVanderbilt ARutgers B143-5
Simon GorbatyDuke AMaryland A15010
Tim MorrisonStanford AFlorida A15110
Tiffany ZhouFlorida BHouston A1520
S. A. ShenoyGeorgia Tech BVirginia A1520
Jack ObermanSouth Carolina AClaremont A1520
Tanis NielsenClaremont ASouth Carolina A1520
Todd MaslykMichigan AImperial A1520
Steven LiuMIT AUC Berkeley A15210
Mazin OmerHarvard ATexas A15210
Geoffrey ChenCornell AGeorgia Tech A15210
Sean DoyleHouston AFlorida B1520
Max ChemtovMcGill ARutgers A15210