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Light-Front QCD(1+1) Coupled to Chiral Adjoint Fermions

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Stephen S. Pinsky, David G. Robertson

High Energy Physics - Theory · Submitted 18 Dec 1995

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

The authors' main claim We find exact expressions for the degenerate vacuum states and the analog of the \theta vacuum.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9512135 (version 2)
Pith IDZWGJKKUD, Pith's permanent record of this paper and its review
CitationDavid G. Robertson, Stephen S. Pinsky. "Light-Front QCD(1+1) Coupled to Chiral Adjoint Fermions." arXiv:hep-th/9512135 (1995). https://pith.science/paper/ZWGJKKUD
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,118 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.25 · compares with prior results 0.88 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We consider SU(N) gauge theory in 1+1 dimensions coupled to chiral fermions in the adjoint representation of the gauge group. With all fields in the adjoint representation the gauge group is actually SU(N)/Z_N, which possesses nontrivial topology. In particular, there are N distinct topological sectors and the physical vacuum state has a structure analogous to a \theta vacuum. We show how this feature is realized in light-front quantization for the case N=2, using discretization as an infrared regulator. In the discretized form of the theory the nontrivial vacuum structure is associated with the zero momentum mode of the gauge field A^+. We find exact expressions for the degenerate vacuum states and the analog of the \theta vacuum. The model also possess a condensate which we calculate. We discuss the difference between this chiral light-front theory and the theories that have previously been considered in the equal-time approach.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We consider SU(N) gauge theory in 1+1 dimensions coupled to chiral fermions in the adjoint representation of the gauge group. background 0.54 0.40 0.04 asserted 0.94
s1 With all fields in the adjoint representation the gauge group is actually SU(N)/Z_N, which possesses nontrivial topology. background 0.83 0.16 0.07 asserted 1.00
s2 In particular, there are N distinct topological sectors and the physical vacuum state has a structure analogous to a \theta vacuum. background 0.63 0.18 0.15 asserted 1.00
s3 We show how this feature is realized in light-front quantization for the case N=2, using discretization as an infrared regulator. method 0.75 0.93 0.10 asserted 1.00
s4 In the discretized form of the theory the nontrivial vacuum structure is associated with the zero momentum mode of the gauge field A^+. result 0.80 0.72 0.11 asserted 1.00
s5 We find exact expressions for the degenerate vacuum states and the analog of the \theta vacuum. result 0.98 0.97 0.33 asserted 1.00
s6 The model also possess a condensate which we calculate. result 0.94 0.95 0.08 asserted 0.99
s7 We discuss the difference between this chiral light-front theory and the theories that have previously been considered in the equal-time approach. contribution 0.65 0.51 0.07 asserted 0.57

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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

We consider SU(N) gauge theory in 1+1 dimensions coupled to chiral fermions in the adjoint representation of the gauge group. With all fields in the adjoint representation the gauge group is actually SU(N)/Z_N, which possesses nontrivial topology. In particular, there are N distinct topological sectors and the physical vacuum state has a structure analogous to a \theta vacuum. We show how this feature is realized in light-front quantization for the case N=2, using discretization as an infrared regulator. In the discretized form of the theory the nontrivial vacuum structure is associated with the zero momentum mode of the gauge field A^+. We find exact expressions for the degenerate vacuum states and the analog of the \theta vacuum. The model also possess a condensate which we calculate. We discuss the difference between this chiral light-front theory and the theories that have previously been considered in the equal-time approach.

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