On Methods for Extracting Exact Non-perturbative Results in Non-supersymmetric Gauge Theories

M.J. Strassler (U.Pennsylvania)

RECORD

On Methods for Extracting Exact Non-perturbative Results in Non-supersymmetric Gauge Theories

High Energy Physics - Theory · Submitted 3 Apr 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A nonperturbative parent-orbifold relation predicts many surprising effects, exactly valid at large N, and expected to suffer only mild 1/N corrections.

how it is stated · asserted 0.65 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-th/0104032 (version 2)

Pith IDUKFXDYTA, Pith's permanent record of this paper and its review

CitationM.J. Strassler (U.Pennsylvania). "On Methods for Extracting Exact Non-perturbative Results in Non-supersymmetric Gauge Theories." arXiv:hep-th/0104032 (2001). https://pith.science/paper/UKFXDYTA

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,126 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.44 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

At large N, a field theory and its orbifolds (given by projecting out some of its fields) share the same planar graphs. If the parent-orbifold relation continues even nonperturbatively, then properties such as confinement and chiral symmetry breaking will appear in both parent and orbifold. N=1 supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble QCD. A nonperturbative parent-orbifold relation predicts many surprising effects, exactly valid at large N, and expected to suffer only mild 1/N corrections. These include degeneracies among bosonic hadrons and exact predictions for domain wall tensions. Other predictions are valid even when supersymmetry in the parent is broken. Since these theories are QCD-like, simulation is possible, so these predictions may be numerically tested. The method also relates wide classes of nonsupersymmetric theories.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	At large N, a field theory and its orbifolds (given by projecting out some of its fields) share the same planar graphs.	background 1.00	0.08	0.07	asserted 1.00
s1	If the parent-orbifold relation continues even nonperturbatively, then properties such as confinement and chiral symmetry breaking will appear in both parent and orbifold.	interpretation 0.70	0.11	0.25	hedged possibility 0.69
s2	N=1 supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble QCD.	background 0.84	0.14	0.09	asserted 0.99
s3	A nonperturbative parent-orbifold relation predicts many surprising effects, exactly valid at large N, and expected to suffer only mild 1/N corrections.	result 0.40	0.30	0.48	asserted 0.65
s4	These include degeneracies among bosonic hadrons and exact predictions for domain wall tensions.	result 0.89	0.37	0.12	asserted 0.98
s5	Other predictions are valid even when supersymmetry in the parent is broken.	result 0.76	0.26	0.09	asserted 0.97
s6	Since these theories are QCD-like, simulation is possible, so these predictions may be numerically tested.	future work 0.77	0.11	0.07	hedged possibility 0.97
s7	The method also relates wide classes of nonsupersymmetric theories.	contribution 0.64	0.40	0.14	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.64 · evidence from argument 0.89.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

At large N, a field theory and its orbifolds (given by projecting out some of its fields) share the same planar graphs. If the parent-orbifold relation continues even nonperturbatively, then properties such as confinement and chiral symmetry breaking will appear in both parent and orbifold. N=1 supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble QCD. A nonperturbative parent-orbifold relation predicts many surprising effects, exactly valid at large N, and expected to suffer only mild 1/N corrections. These include degeneracies among bosonic hadrons and exact predictions for domain wall tensions. Other predictions are valid even when supersymmetry in the parent is broken. Since these theories are QCD-like, simulation is possible, so these predictions may be numerically tested. The method also relates wide classes of nonsupersymmetric theories.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Echoes of a Hidden Valley at Hadron Colliders
hep-ph 2006-04 accept novelty 8.0 of 10

A new confining gauge sector coupled weakly to the Standard Model would produce multiple long-lived neutral bound states whose decays give LHC events with heavy-flavor jets, displaced vertices, and missing energy.
Supersymmetry on a Spatial Lattice
hep-lat 2002-06 conditional novelty 8.0 of 10

Orbifolding a supersymmetric quantum mechanics with a large gauge group produces spatial lattices whose exact lattice supersymmetry suppresses the fine tuning needed to recover continuum supersymmetric Yang-Mills theories.
Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
hep-th 2022-01 conditional novelty 7.0 of 10

Compactifying 4d gauge theories on a small T^2 with 't Hooft flux gives a calculable center-vortex description that reproduces confinement, chiral symmetry breaking, and vacuum structure, conjecturally connected to R^4.
The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
hep-th 2019-04 conditional novelty 7.0 of 10

For SU(N1)xSU(N2) with a bi-fundamental fermion, anomalies fix the allowed phase-diagram topologies, equal ranks give one consistent picture across all calculable limits, and unequal ranks force a duality cascade.
(In)validity of large N orientifold equivalence
hep-th 2006-08 accept novelty 7.0 of 10

The claimed large-N orientifold equivalence between N=1 super-Yang-Mills and QCD with an antisymmetric-tensor fermion fails at small compactification radius because the latter spontaneously breaks charge conjugation.

Show 4 more citing papers

Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
hep-th 2003-02 conditional novelty 7.0 of 10

A non-supersymmetric large-N orientifold gauge theory is argued to be non-perturbatively equivalent, in its bosonic sector, to N=1 super Yang-Mills, inheriting its exact condensate, N vacua, and zero planar vacuum energy.
Vacuum structure of bifundamental gauge theories at finite topological angles
hep-th 2017-05 accept novelty 6.0 of 10

For SU(n) x SU(n) gauge theories with bifundamental matter and n at least 3, anomaly matching forces a first-order CP-breaking transition at (theta1, theta2) = (pi, 0) and (0, pi), and forbids a smooth path from (0,0)...
Universality of Phases in QCD and QCD-like Theories
hep-ph 2011-03 conditional novelty 6.0 of 10

In the large-Nc limit the phase diagrams of QCD at finite isospin density and of SO(2Nc) and Sp(2Nc) gauge theories at finite baryon density coincide, and outside the BEC-BCS crossover they also match ordinary QCD at ...
Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
hep-lat 2003-02 accept novelty 6.0 of 10

A Euclidean lattice action for two-dimensional (2,2) supersymmetric Yang-Mills is constructed that preserves one exact supersymmetry and is argued to reproduce the target theory in the continuum limit without fine-tuning.

How the literature uses it

14 arXiv papers cite this in 27 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 17 sentences without a confident label

Contests it 2 papers

Although the nonperturbative orbifold conjecture [ref] itself does not work [ref] , these theories share the surprisingly similar structure.

Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls · 't Hooft anomaly matching · contest 0.71
The above result disagrees with the statement of Ref. [ref] asserting the number of vacua to be $N$ regardless of the relation between $N$ and $K$.

On Yang-Mills Theories with Chiral Matter at Strong Coupling · Chiral orbifold gauge theories: generalities · contest 0.94

Cites it as background 7 papers

The idea of the orbifold equivalence first originates from the string theory [ref] , and then has been generalized to the quantum field theory without reference to the string theory [ref] .

Universality of Phases in QCD and QCD-like Theories · Introduction · 0.99
Orbifold projections in quantum field theory link a parent theory to a child theory with the help of a discrete subgroup of the parent's global symmetry [ref] (see [ref] for reviews).

Asymptotic safety with Majorana fermions and new large N equivalences · Large $N$ equivalences · 0.99
Aside from the duality cascade, the equal-rank QCD(BF) is the daughter theory of the large-$N$ orbifold equivalence from the $𝒩=1$ $SU(2N)$ super Yang-Mills (SYM) theory [ref] .

Non-supersymmetric duality cascade of QCD(BF) via semiclassics on $\mathbb{R}^2\times T^2$ with the baryon-'t Hooft flux · Introduction and Summary · 0.96

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.