fields - 2025 ACF Regionals

Question

The Wightman axioms give requirements for these things, which have infinitely many degrees of freedom. For 10 points each:

[10m] Name these things that permeate space and are characterized by their Lagrangian density, such as in the Klein–Gordon equation. Particles arise from excitations in these things.

ANSWER: fields [or quantum fields]

[10h] Haag’s theorem argues that quantum field theories are ill-formed because these representations cannot exist. In this representation, both states and operators are time-dependent.

ANSWER: interaction picture [accept, but DO NOT REVEAL, Dirac picture]

[10e] This originator of quantum field theory names a relativistic generalization of the Schrödinger equation. This British physicist’s namesake delta function is infinite at the origin and vanishes everywhere else.

ANSWER: Paul Dirac [accept Dirac equation or Dirac delta function]

Back to bonuses

Summary


California	2025-02-01	Y	3	23.33	100%	100%	33%
Florida	2025-02-01	Y	3	6.67	33%	33%	0%
Great Lakes	2025-02-01	Y	6	15.00	100%	50%	0%
Lower Mid-Atlantic	2025-02-01	Y	6	13.33	67%	50%	17%
Midwest	2025-02-01	Y	6	16.67	83%	67%	17%
North	2025-02-01	Y	3	23.33	100%	100%	33%
Northeast	2025-02-01	Y	5	14.00	80%	60%	0%
Overflow	2025-02-01	Y	5	12.00	80%	20%	20%
South Central	2025-02-01	Y	2	25.00	100%	100%	50%
Southeast	2025-02-01	Y	3	20.00	100%	100%	0%
UK	2025-02-01	Y	10	16.00	90%	60%	10%
Upper Mid-Atlantic	2025-02-01	Y	6	16.67	100%	50%	17%
Upstate NY	2025-02-01	Y	3	13.33	67%	67%	0%

Data


UCLA	Claremont B	10	0	10	20
UC Berkeley A	UCSD	10	10	10	30
Florida A	UCF C	10	0	10	20
UCF B	Florida B	0	0	0	0
Florida State A	Valencia A	0	0	0	0
Carnegie Mellon A	Michigan D	0	0	10	10
Case Western A	Carnegie Mellon B	0	0	10	10
Ohio State A	Kenyon	10	0	10	20
Case Western B	Michigan A	10	0	10	20
Michigan State	Michigan C	10	0	10	20
Ohio State B	Michigan B	0	0	10	10
William & Mary	Liberty A	0	0	10	10
Virginia Tech A	Liberty C	10	0	10	20
UNC B	Duke	10	10	10	30
UNC D	South Carolina	0	0	0	0
Virginia A	Liberty B	0	0	10	10
UNC C	Wake Forest	10	0	0	10
Chicago A	WashU A	10	10	10	30
Chicago D	Chicago C	0	0	10	10
Illinois A	Chicago B	10	0	10	20
WashU B	Indiana B	10	0	10	20
Missoui S&T	Illinois C	10	0	0	10
Missouri	Illinois B	0	0	10	10
Winona State	Carleton	10	0	10	20
Wisconsin A	Minnesota B	10	0	10	20
Iowa State	Wisconsin B	10	10	10	30
Brandeis B	Dartmouth A	0	0	0	0
Harvard A	Brown A	10	0	10	20
MIT A	BU	10	0	10	20
Harvard B	Tufts A	10	0	10	20
UMass Boston	Brandeis A	0	0	10	10
UC Berkeley B	Claremont A	10	0	10	20
Georgetown A	Georgetown B	0	0	10	10
Iowa	Northwestern A	0	0	10	10
Northwestern B	Notre Dame A	0	0	10	10
Notre Dame B	Notre Dame C	0	0	0	0
Stanford B	Purdue	10	10	10	30
ASU	TAMU	10	0	10	20
Texas A	Texas B	10	10	10	30
Georgia Tech B	Georgia Tech A	10	0	10	20
Georgia Tech C	Georgia Tech D	10	0	10	20
Tennessee A	Vanderbilt A	10	0	10	20
Southampton A	Cambridge D	10	0	10	20
Manchester	Cambridge E	10	0	10	20
Cambridge A	Durham	10	0	10	20
Imperial B	Oxford A	10	0	10	20
LSE	Bristol	0	0	10	10
NYU C	Cambridge C	0	0	10	10
Oxford B	Warwick A	0	0	10	10
Oxford C	Warwick B	0	0	0	0
Cambridge B	Sheffield	10	10	10	30
Imperial A	Southampton B	10	0	10	20
Cornell B	Maryland A	0	0	10	10
Columbia B	Johns Hopkins A	10	0	10	20
Columbia C	Maryland B	10	0	10	20
John Jay College	Rutgers A	10	0	10	20
Penn A	Vassar A	0	10	10	20
Yale A	NYU A	0	0	10	10
RIT A	Binghamton A	10	0	10	20
ESF A	Cornell C	10	0	0	10
Cornell D	RIT B	0	0	10	10